Datasets:

alucchi
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grpo_mmeta-llama_dgsm8k_n200_e100_oadam5e-06_b8_8_a0.04

Task ID int64 0 7.47k	Question stringlengths 42 985	Responses stringlengths 449 5.58k	Extracted Answer stringclasses 951 values	Ground Truth stringclasses 893 values
0	Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?assistant ## Step 1: Calculate the number of clips sold in April. Natalia sold 48 clips to her friends in April. ## Step 2: Calculate the number of clips sold in May. Natalia sold half as many clips in May, which is 48 / 2 = 24 clips. ## Step 3: Calculate the total number of clips sold in April and May. To find the total number of clips sold in both months, add the clips sold in April and May. total_clips = 48 + 24 = 72 clips. The final answer is: $\boxed{72}$	72	72
1	Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?assistant ## Step 1: Calculate the rate per minute To calculate Weng's earnings, first, we need to determine how much she earns per minute. Since Weng earns $12 an hour and there are 60 minutes in an hour, we can find her rate per minute by dividing $12 by 60. ## Step 2: Multiply the rate per minute by the number of minutes she babysat Since Weng babysat for 50 minutes, we then multiply her rate per minute ($12) by 50 minutes to get the total amount earned. ## Step 3: Calculate Weng's earnings $12 per hour divided by 60 minutes per hour makes Weng $0.20 per minute. Now the amount that 50 *.20 to get the amount she get earned ## Answer answer of that calculation which is,		10
2	Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?assistant ## Step 1: Calculate the amount of money Betty needs to buy the wallet. Betty needs $100 for the wallet. ## Step 2: Calculate how much money Betty has initially. Since Betty has only half of the money needed, the amount she has initially is $100 / 2 = $50. ## Step 3: Calculate how much money Betty's parents gave her. Betty's parents gave her $15. ## Step 4: Calculate how much money Betty's grandparents gave her. Since Betty's grandparents gave her twice as much as her parents, they gave her 2 * $15 = $30. ## Step 5: Calculate the total amount of money Betty has now. Total money Betty has is the sum of what she had initially and what her parents gave her plus what her grandparents gave her. This equals $50 + $15 + $30 = $95. ## Step 6: Calculate how much more money Betty needs to buy the wallet. The amount Betty needs for the wallet is $100. To find out how much more she needs, we subtract what she has from the total amount needed. $100 - $95 = $5. The final answer is: $\boxed{5}$	5	5
3	Julie is reading a 120-page book. Yesterday, she was able to read 12 pages and today, she read twice as many pages as yesterday. If she wants to read half of the remaining pages tomorrow, how many pages should she read?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Julie is reading a 120-page book. Yesterday, she was able to read 12 pages and today, she read twice as many pages as yesterday. If she wants to read half of the remaining pages tomorrow, how many pages should she read?assistant ## Step 1: Calculate the number of pages read yesterday Julie read 12 pages yesterday. ## Step 2: Calculate the number of pages read today Today, Julie read twice as many pages as yesterday, which is 2 * 12 = 24 pages. ## Step 3: Calculate the total number of pages read so far Total pages read so far = 12 (yesterday) + 24 (today) = 36 pages. ## Step 4: Calculate the number of pages remaining in the book Total pages in the book = 120, pages read so far = 36. Pages remaining = 120 - 36 = 84 pages. ## Step 5: Calculate the number of pages to be read tomorrow Julie wants to read half of the remaining pages, which is 84 / 2 = 42 pages. The final answer is: $\boxed{42}$	42	42
4	James writes a 3-page letter to 2 different friends twice a week. How many pages does he write a year?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user James writes a 3-page letter to 2 different friends twice a week. How many pages does he write a year?assistant ## Step 1: Calculate the number of pages James writes in one week Since James writes to 2 friends twice a week, he writes to 2 * 2 = 4 people in one week. Each letter is 3 pages, so each person will have 3 pages. This makes his weekly writeup equal 4 * 3 pages. For each of those people James writes about 3 page-letter. ## Step 2: Determine how many pages in total James writes to his 4 friends In one Week his total number of pages is given = 3 * 4 * 4=<<344=48>>48 pages ## Step 3 determine total letter that he does in year in year he does him one weeks writes and we need know,that has to be, how alot y a [or how much he writ per year] if one weeks writed for as wh =he a write one time per per of there is [to make in each year] we know writet he each writs he do,and then you count how many weeks he writein,do that now,so see then and how you,he in [one in y ,now] he writet then then [wehe then he that ] how now in he he [ in y w he he, writed he in y [in to h,you here,as he he, of hehe,whos iny,here hahin,and he of,here now 1,to [in y :[to w y h he.,now [ihehehere [he,writ h [he.w,so,,in,.yeas,an how [.hehe,h,he w,[in [he 50. ]. [that,..now,now he [,..[in ,[in,..and. [he [.ashehere.that he.[in,in [hehehe ..hehe he of,.he, he.,.h.he h,.hehe ,,,he,. ,hehe, 2 ,in .he he, he,.,in.hehe he...hein.,he.,,.. here he ,he hehehere. ,he.,in, ,he.,. ..[. h.he.,he he.. ,, . he he.he ,,he .he he. hehehe..,. in. ,,,,. we [he.,here,.,heh ,the,here h,.here h . he ,.he.here,.[that.. h.,[,,in hee,.,..],.[that,]hhehe,.h.we h ,.,he.in,.inhe,.,here,.. he.hehhe he,[ [. hehe]in,.heh.. , 1[,that h.,he ehereh h hehhe,.[ hehehheh in,hehe. ,in h.. [heh. ,.,[ h,hehe,h,. , , h he.hehe,, .,hehehe, h,.. [in, he he ,..,., .,.,,, ..he. ,.,. .,, . ,., h,[.h ,.,,.,. 1h. he . h he [that he.,. ,., , h, . ..he. , , [.,..] ,.,.,.,.,,, h.heehh... in heh hehe, wehave [ heh.that,and.hehe, [in,we, :here whehe,ofhe.,.. now.,. w [h..,he.,in, w. h ,, [, ,[. ,h [he, ,. [..]he , [ [he,] , heh,., [he.he ,..,. ,.,, ]. here heehehe h hee,..,, hee, he heehhhe h thehe,, . ,. h .,.,.		624
5	Mark has a garden with flowers. He planted plants of three different colors in it. Ten of them are yellow, and there are 80% more of those in purple. There are only 25% as many green flowers as there are yellow and purple flowers. How many flowers does Mark have in his garden?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Mark has a garden with flowers. He planted plants of three different colors in it. Ten of them are yellow, and there are 80% more of those in purple. There are only 25% as many green flowers as there are yellow and purple flowers. How many flowers does Mark have in his garden?assistant ## Step 1: Calculate the number of purple flowers Mark planted 10 yellow flowers, and there are 80% more purple flowers. To find the number of purple flowers, calculate 80% of 10, then add that to 10. ## Step 2: Calculate 80% of 10 80% of 10 is calculated by multiplying 10 by 0.80, which is 0.80 * 10 = 8. ## Step 3: Calculate the total number of purple flowers Add the result of 80% of 10 (calculated in Step 2) to the original number of yellow flowers to find the total number of purple flowers. purple_flowers = 10 + 8 = 18. ## Step 4: Calculate the total number of yellow and purple flowers combined Combine the original number of yellow flowers (10) with the number of purple flowers (calculated in Step 3) to find the total number of yellow and purple flowers combined. total_flowers = 10 + 18 = 28. ## Step 5: Calculate the number of green flowers Mark has 25% as many green flowers as there are yellow and purple flowers combined. Calculate 25% of the total number of yellow and purple flowers to find the number of green flowers. green_flowers = 0.25 * total_flowers. ## Step 6: Calculate green_flowers Calculate the result of 25% of 28 (calculated in Step 5) by multiplying 28 by 0.25, which equals 7. ## ## Step 7: Calculate Total number_of_all Flowers The final number of all total for Flaws calculated to ## total_allflowers= ten+yellow+purple+Green (number of Greenflower, 7) total_allflowers=10+28+7 total_allflowers = 45 Therefore The The final answer is \boxed{45}	45	35
6	Albert is wondering how much pizza he can eat in one day. He buys 2 large pizzas and 2 small pizzas. A large pizza has 16 slices and a small pizza has 8 slices. If he eats it all, how many pieces does he eat that day?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Albert is wondering how much pizza he can eat in one day. He buys 2 large pizzas and 2 small pizzas. A large pizza has 16 slices and a small pizza has 8 slices. If he eats it all, how many pieces does he eat that day?assistant ## Step 1: Calculate the total number of slices from the large pizzas. There are 2 large pizzas. Each large pizza has 16 slices. Therefore, the total number of slices from the large pizzas is 2 * 16 = 32. ## Step 2: Calculate the total number of slices from the small pizzas. There are 2 small pizzas. Each small pizza has 8 slices. Therefore, the total number of slices from the small pizzas is 2 * 8 = 16. ## Step 3: Add the total number of slices from the large and small pizzas to get the overall total number of slices eaten. The overall total is the sum of slices from the large and small pizzas. So, 32 slices (from large pizzas) + 16 slices (from small pizzas) = 48 slices. The final answer is: $\boxed{48}$	48	48
7	Ken created a care package to send to his brother, who was away at boarding school. Ken placed a box on a scale, and then he poured into the box enough jelly beans to bring the weight to 2 pounds. Then, he added enough brownies to cause the weight to triple. Next, he added another 2 pounds of jelly beans. And finally, he added enough gummy worms to double the weight once again. What was the final weight of the box of goodies, in pounds?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Ken created a care package to send to his brother, who was away at boarding school. Ken placed a box on a scale, and then he poured into the box enough jelly beans to bring the weight to 2 pounds. Then, he added enough brownies to cause the weight to triple. Next, he added another 2 pounds of jelly beans. And finally, he added enough gummy worms to double the weight once again. What was the final weight of the box of goodies, in pounds?assistant ## Step 1: Initially, Ken added jelly beans to the box to make the weight of the box 2 pounds. This means without jelly beans he had 2 pounds. ## Step 2: Next, he added brownies to cause the weight to triple the box's weight. Since a box was initially at 2 pounds, three times that would be \(2 * 3 = 6\) pounds. ## Step 3: Next, 2 more pounds of jelly beans were added. Therefore weight would now be 6 pounds+2 more pounds jellybean added = 8 pounds weight, this isn't changed by the change from adding brown 6 we have the new set sum adding that we're looking the sum change then total added weight is thus as you stated (we had 2 2 weight for initial add. and you add to make the tripling 4 the we do just (6 add two then you double so then what you have from these two then 6- two the what then you make out of double it then two of that so so you add 2 more which 1 and 4 5 The final Answer is: $\boxed{18}$	18	16
8	Alexis is applying for a new job and bought a new set of business clothes to wear to the interview. She went to a department store with a budget of $200 and spent $30 on a button-up shirt, $46 on suit pants, $38 on a suit coat, $11 on socks, and $18 on a belt. She also purchased a pair of shoes, but lost the receipt for them. She has $16 left from her budget. How much did Alexis pay for the shoes?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Alexis is applying for a new job and bought a new set of business clothes to wear to the interview. She went to a department store with a budget of $200 and spent $30 on a button-up shirt, $46 on suit pants, $38 on a suit coat, $11 on socks, and $18 on a belt. She also purchased a pair of shoes, but lost the receipt for them. She has $16 left from her budget. How much did Alexis pay for the shoes?assistant ## Step 1: Calculate the total amount Alexis spent on the shirt, pants, suit coat, and socks. Total spent on these items = $30 + $46 + $38 + $11 = $105. ## Step 2: Calculate the remaining budget after buying the shirt, pants, suit coat, and socks. Remaining budget = $200 - $105 = $95. ## Step 3: Since Alexis had $16 left after buying the missing item shoes, calculate how much more money she needed to purchase shoes. Amount needed for shoes = Remaining budget - Amount left after other purchases = $95 - $16 = $79. ## Step 4: Calculate the cost per item by dividing the total amount needed for shoes by the number of items purchased (pair). Cost per item = Amount needed for shoes / Number of items = $79 / 2 items = $39.50 per item. The final answer is: $\boxed{39.5}$	39.5	41
9	Tina makes $18.00 an hour. If she works more than 8 hours per shift, she is eligible for overtime, which is paid by your hourly wage + 1/2 your hourly wage. If she works 10 hours every day for 5 days, how much money does she make?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Tina makes $18.00 an hour. If she works more than 8 hours per shift, she is eligible for overtime, which is paid by your hourly wage + 1/2 your hourly wage. If she works 10 hours every day for 5 days, how much money does she make?assistant ## Step 1: Calculate Tina's daily earnings for regular hours First, calculate Tina's earnings for the first 8 hours: 8 hours * $18.00/hour = $144.00. Then, calculate the overtime hours: 10 hours - 8 hours = 2 hours. For overtime, Tina is paid at the regular wage + half of her regular wage, which is ($18.00 + $9.00) = $27.00 per hour. 2 * $27.00 = $54.00. ## Step 2: Calculate Tina's daily earnings for 10 hours of work for 5 days. Since Tina works 10 hours a day for 5 days, we need the rate per DAY and day 5day's calculate the total for her pay for doing regular hours in any period of 5. Each period in here is thus to be run and so thus here we do that one times five of total hours rate per/hr in order: [ 4 times ten ] 18 then after that we multiply by five(4 fivehours x then add on the extra time over an add 5, till ten total then give this in a new table as a total for all time she went therefor, so in order add 5(2) 18 times to the add,here is, 4 to put as in as a box, as it is one time ten of per work,in) 54 18 plus)5. here, we put one in then multiply to four, put all these into all in on in total is we put in of in put,as then this the in for put is put of then add put as in as of put from now,with out as we go the and ,then you will see just add the with then and we do it again and then,the on. here then the of., we then are all as for a done as here to the , then.put.to the,if in from, as,and,now we ,after .then so then we now to we now have,now we have the in so now lets put now lets use put in [putput it now,as the youput we are here we then now put put now so one now one to as so put in. innow you do now in we.so now then we now in we put. the one is now,now put.we of one in and,for each time put we now we,for,each, the.to so lets now now now now,.in now now .in this now now of this put as..in,infor,now.we done now,now the put now, 5 so,from each all of,in the, the, now.,in, so then the,.now to now .from the,innow then .now,we for.,we and so so we put now in of now now is we,for.now,5.1. ,in, 5,,of put now.we, put, now putput, input .in and,so in 5*,. we now, we now.we,for,the.,then of in.,of put on put,and,for now,so in and. :,5 put,now put.now nownow then now the andnow,here 5 then of ,here is in,putin. ofthe,asinfor and ,put,now and,for,here 5of,putput.as in,howin 5 here,.put on,and,as, ,as,now,we.so, 5.,of,5. 1of, in,in.. :.now putputin,.in. :5. of in,that in the.,now in,here put.,in,as,infor :so, :now., input.,in., in,5:now ,the nownowwe, .5,nownowin..(from we,we,put,putnoww.,oninthe, :aswehwe,.we,,we ,in,wehere,.,.in.onput :that :.,,.5,now,now.,.,,of 5 ,,wehere ,of we. . in .now the [nowinw 5.of the ],we [,put putput. [in,,.now,.now :for.in.in [ 5,,ofnow,,as,w.,		990
10	A deep-sea monster rises from the waters once every hundred years to feast on a ship and sate its hunger. Over three hundred years, it has consumed 847 people. Ships have been built larger over time, so each new ship has twice as many people as the last ship. How many people were on the ship the monster ate in the first hundred years?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user A deep-sea monster rises from the waters once every hundred years to feast on a ship and sate its hunger. Over three hundred years, it has consumed 847 people. Ships have been built larger over time, so each new ship has twice as many people as the last ship. How many people were on the ship the monster ate in the first hundred years?assistant ## Step 1: Understand the pattern of the number of people consumed by the monster over the three hundred years. The number of people consumed is in an arithmetic sequence where each term is twice the previous term. ## Step 2: Represent the number of people consumed in the first hundred years as 'x'. Since ships have been built twice as many times, the number of people consumed will be twice 'x' in the first hundred years. ## Step 3: Represent the number of people consumed over the next two hundred years, where the number doubles each time again. This second period represents the third time the ships have been built (since we are 200 years into the period we counted so far), so that means the second hundred year period is 2x = (2 * 2 *x) ## Step 4 : the people taken down last years total 847 total which, therefore we need to figure: to which the “(x)\times2\textbf{ }\times2\times2\textbf}\, [two ]\(last)\) =,\((=847\( is \frac{847\,} {( x}\] and\)and this, the \([of 200.}\ \[in ] ),as\[.\(\bigleft)\] so lets: the “we get )_the ]here = so: \]in\(,last],and =2\( [with x]\ ) \)._given(,the,\)for\ ]. ]on \ ]and.,,that,last :in :so,then “_it\_we, ]that [s\, ]on \ to :“_that’s,as\[the,and we get [that \ is ]from,here = \textbf{847/2} and that [simplifies\;to }\textbf{.that, }[as } to\,\(\).=,\textbf{, and }\),,.to,\,.\big. so =] “\big]here:,that [iin,},_in,\textbf,that,}:\ \and so now “.,\big]the “here.and we,\we see “that,in the \,here,, \.that \textbf }“\there the “[,that,in\, ,_ ][iin. [ “\,[]we :_ and,_to then you : \therefor we.<\|reserved_special_token_188\|>.scalablytypedHere is the revised answer. ## Step 1: Understand the pattern of the number of people consumed by the monster over the three hundred years. The number of people consumed is in an arithmetic sequence where each term is twice the previous term. ## Step 2: Represent the number of people consumed in the first hundred years as 'x'. Since ships have been built twice as many times, the number of people consumed will be twice 'x' in the first hundred years. ## Step 3: Represent the number of people consumed over the next two hundred years, where the number doubles each time again. This second period represents the third time the ships have been built (since we are 200 years into the period we counted so far), so that means the second hundred year period is 2x. ## Step 4: Calculate the number of people consumed in the second 200 years using the sequence, which will be 2x for second 200 years. ## Step 5: To calculate the total number of people consumed, which is 847, the sum of the numbers consumed in each period over the 300 year timeframe The equation representing the total number of people consumed would be x+2x+(2x) which equals “x+2×” two times that term’ x to two term’s of “or “ = two term’s,.in.or we’s: to,[to the “, [ “the,. )’ :.here.[from that that’s that: in which i that “we.( i’re :in, “ we’t =that. ](here we, ] so.in That in our total:,_here,we see,and : “[ we,.” to now so,now :.from :[.this,that[so ],’onwe’re “,in “we [,on.,_.that “we to,in: so.so,now, ,. [“ ]in the [we’t:thatthat’s,we’ we in ,“ we, ,here 2 x [as,in ‘x “.in : [that :]this,the,,as,of “ we		121
11	Tobias is buying a new pair of shoes that costs $95. He has been saving up his money each month for the past three months. He gets a $5 allowance a month. He also mows lawns and shovels driveways. He charges $15 to mow a lawn and $7 to shovel. After buying the shoes, he has $15 in change. If he mows 4 lawns, how many driveways did he shovel?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Tobias is buying a new pair of shoes that costs $95. He has been saving up his money each month for the past three months. He gets a $5 allowance a month. He also mows lawns and shovels driveways. He charges $15 to mow a lawn and $7 to shovel. After buying the shoes, he has $15 in change. If he mows 4 lawns, how many driveways did he shovel?assistant ## Step 1: Determine how much money Tobias saved from his allowance Tobias gets $5 a month from his allowance, and he has been saving up for 3 months, so he has $5 * 3 = $15 saved from his allowance. ## Step 2: Determine the cost of the shoes The shoes cost $95. ## Step 3: Calculate how much money Tobias has before buying the shoes We need to figure out how much of the 15 dollars that can we have come out of “one$ fivefive from allowance hehe”, how much money comes in via the five dollars eachmonth from this one man from his fivefive. And hisone now have money,he have he 95 “nowhe 95 “money his ‘.hehe now “he how we,we,to to“ he fivehehe 5 the now““now he how five he “.this here money now he,how he “ (15) *and “andnow “5 he here the now”that he “to his he 15 here to,this here, “this “,he him. “.he the how “ he now him how 15 “,he how now now : he,here “ now.he“. we “he, “ the now “ and to ihey are in.thehe “.5 five. that we’re :”to,here to,.here“ 15 he,”now that “ now.“ here five,.he, here,,.and so now“”-andhere 5 “now he here“ now, to, the “ he now”, five he.“ihey,“now he.hehow “-“ ,now .here, hehe to,ofhere here, herehe, to,hahere, how. hows,nowhe.-,..here,.hhe 5. he.he-“he howhe he.in-“, iheresnow,5 he.,.ihey “,..he “.hereh,hahereh he. ofthishow tohe,here we “inhow now,,here “.here.,..h.he “,hahere,,,nowhe hehow. “.he the,“ ,.hhaennow,herh,he,.her he“he how,hahereh,,her“ hehe how “.ihe,,.now, “.,how“ “now the now“,.now “,we, ,here.,,her,,and,,here,.,.nowher,hehe .now, i,he.hehe, h he ,h,he.how, h,.,. i,,,he,here,,,,.the,.heh,.aherehe,.hahere, h,,.,..here. nowhe .,,he., ,ihe,.,,.here,,,.,the,,.,nowhe.he,.he.,“..he,. ,..-....her “.hhaere hehe.heh,.ihe,..hhe,,he,.,here.how,,.,i.,he.he. .,.hehe.,,..he.,..here,,,,.now,.,.,,. hehe,.,.,hehehe.,,..he,..,.,.,ihe. .,., ,here..of“he.,now.,,.h,.“.,..hohewhe..,.,“.,. .hehe , ,.,..,,..,..,h.,....,.,.,.,. .,hereh,.,,., ,,..here..,,, “.,,.,..,,.. he,..,,. ,,,,,..,..,.,ihe.,,,hehere,..here,here.,“., , . .,..,.,.,,,, ,,.“ .. ..hereh.,, he.,. ,,.. ,..,. ,....here,,.,.,“.., ,.,..., ,..,, ,.., .,,,,, ,.., ,,.,,.,..here,.... ,..,..“., hehwehe..,,.,.,, ...,.,,.		5
12	Randy has 60 mango trees on his farm. He also has 5 less than half as many coconut trees as mango trees. How many trees does Randy have in all on his farm?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Randy has 60 mango trees on his farm. He also has 5 less than half as many coconut trees as mango trees. How many trees does Randy have in all on his farm?assistant ## Step 1: Calculate the number of coconut trees Randy has 5 less than half as many coconut trees as mango trees. First, let's calculate half of the number of mango trees: 60 / 2 = 30. Then, subtract 5 from this number to get the number of coconut trees: 30 - 5 = 25. ## Step 2: Calculate the total number of trees To get the total number of trees on the farm, we need to add the number of mango trees and coconut trees. total_trees = mango_trees + coconut_trees = 60 + 25 = 85 The final answer is: $\boxed{85}$	85	85
13	Jasper will serve charcuterie at his dinner party. He buys 2 pounds of cheddar cheese for $10, a pound of cream cheese that cost half the price of the cheddar cheese, and a pack of cold cuts that cost twice the price of the cheddar cheese. How much does he spend on the ingredients?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Jasper will serve charcuterie at his dinner party. He buys 2 pounds of cheddar cheese for $10, a pound of cream cheese that cost half the price of the cheddar cheese, and a pack of cold cuts that cost twice the price of the cheddar cheese. How much does he spend on the ingredients?assistant ## Step 1: Calculate the price of the cream cheese. The price of the cream cheese is half the price of the cheddar cheese. Since the cheddar cheese costs $10, the cream cheese will cost $10 / 2 = $5. ## Step 2: Calculate the price of the cold cuts. The price of the cold cuts is twice the price of the cheddar cheese, which is $10 * 2 = $20. ## Step 3: Calculate the total cost of all the ingredients. First, add the cost of cheddar cheese: 2 pounds * $10 = $20. Then, add the cost of the cream cheese: $20 + $5 = $25. Finally, add the cost of the cold cuts: $25 + $20 = $45. The final answer is: $\boxed{45}$	45	35
14	Joy can read 8 pages of a book in 20 minutes. How many hours will it take her to read 120 pages?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Joy can read 8 pages of a book in 20 minutes. How many hours will it take her to read 120 pages?assistant ## Step 1: Determine Joy's reading speed in pages per minute Joy reads 8 pages in 20 minutes, so her reading speed can be calculated by dividing the number of pages by the minutes it takes her to read those pages. ## Step 2: Convert reading speed from pages to pages per minute To find out Joy's speed per minute, we divide the number of pages by the number of minutes it takes her to read those pages. pages_per_minute = 8 pages / 20 minutes = 0.4 pages/minute ## Step 3: Calculate time needed to read 120 pages at the reading speed To find out how long it takes Joy to read 120 pages, we divide the total number of pages by the speed of reading in pages per minute. ## Step 4: Calculate time needed in minutes time_minutes = total_pages / pages_per_minute = 120 pages / 0.4 pages per minute ## Step 5: Perform the division to get time in minutes time_minutes = 300 minutes ## Step 6: Convert the time to hours Finally, to convert minutes into hours, we divide the minutes by 60 since there are 60 minutes in an hour. ## Step 7: Calculate time in hours time_hours = time_minutes / 60 hours per minute ## Step 8: Perform the final division time_hours = 300 minutes / 60 = 5 hours The final answer is: $\boxed{5}$	5	5
15	James creates a media empire. He creates a movie for $2000. Each DVD cost $6 to make. He sells it for 2.5 times that much. He sells 500 movies a day for 5 days a week. How much profit does he make in 20 weeks?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user James creates a media empire. He creates a movie for $2000. Each DVD cost $6 to make. He sells it for 2.5 times that much. He sells 500 movies a day for 5 days a week. How much profit does he make in 20 weeks?assistant ## Step 1: Calculate the total cost to produce 500 movies per day at $2000 per movie First, calculate the cost per day: 500 movies * $2000 per movie = $1,000,000. ## Step 2: Calculate the selling price of each DVD, which is 2.5 times the production cost $2000 * 2.5 = $5000 per DVD. ## Step 3: Calculate the total revenue per day from DVD sales 500 DVDs/day * $5000 per DVD = $2,500,000 per day. ## Step 4: Calculate total weekly revenue from DVD sales $2,500,000 per day * 5 days/week = $12,500,000 per week. ## Step 5: Calculate the total weekly profit from DVD sales $12,500,000 per week - $1,000,000 per week = $11,500,000 per week. ## Step 6: Calculate the total revenue from selling movies over 20 weeks $11,500,000 per week * 20 weeks = $230,000,000. ## Step 7: Calculate the total revenue from DVD sales over 20 weeks $230,000,000. ## Step 8: Determine how much profit made in 20 weeks from total movie sales Total DVD sales price and 20 weeks' movies sales profit for given data of amount -cost		448000
16	The profit from a business transaction is shared among 2 business partners, Mike and Johnson in the ratio 2:5 respectively. If Johnson got $2500, how much will Mike have after spending some of his share on a shirt that costs $200?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user The profit from a business transaction is shared among 2 business partners, Mike and Johnson in the ratio 2:5 respectively. If Johnson got $2500, how much will Mike have after spending some of his share on a shirt that costs $200?assistant ## Step 1: Determine the total parts of the ratio The ratio given is 2:5, which means Mike's share is represented by 2 parts and Johnson's share by 5 parts. ## Step 2: Calculate the total number of parts Total number of parts = 2 (Mike's parts) + 5 (Johnson's parts) = 7 parts. ## Step 3: Find the value of one part Johnson's share is $2500 and it represents 5 parts. To find the value of one part, we divide Johnson's share by the number of parts representing his share: $2500 / 5 = $500. ## Step 4: Calculate Mike's initial share Since Mike's share represents 2 parts, we multiply the value of one part by the number of parts for Mike: 2 parts * $500/part = $1000. ## Step 5: Calculate Mike's remaining share after spending $200 on a shirt Mike's initial share minus the amount spent on the shirt = $1000 - $200 = $800. The final answer is: $\boxed{800}$	800	800
17	In a truck, there are 26 pink hard hats, 15 green hard hats, and 24 yellow hard hats. If Carl takes away 4 pink hard hats, and John takes away 6 pink hard hats and twice as many green hard hats as the number of pink hard hats that he removed, then calculate the total number of hard hats that remained in the truck.	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user In a truck, there are 26 pink hard hats, 15 green hard hats, and 24 yellow hard hats. If Carl takes away 4 pink hard hats, and John takes away 6 pink hard hats and twice as many green hard hats as the number of pink hard hats that he removed, then calculate the total number of hard hats that remained in the truck.assistant ## Step 1: Determine the initial number of hard hats First, let's note down the initial number of hard hats in each color: pink = 26, green = 15, and yellow = 24. ## Step 2: Calculate the number of hard hats taken away by Carl Carl took away 4 pink hard hats. ## Step 3: Calculate the number of hard hats taken away by John John took away 6 pink hard hats and twice as many green hard hats as the number of pink hard hats he took, so for green = 6 * 2 = 12 hard hats. In total, John took 6 + 12 = 18 hard hats. ## Step 4: Calculate the total number of hard hats taken away Adding the hard hats taken away by Carl and John: 4 + 18 = 22. ## Step 5: Calculate the number of hard hats left Subtract the total number of hard hats taken away from the initial total number of hard hats: 26 + 15 + 24 - 22 = 45. The final answer is: $\boxed{45}$	45	43
18	It takes Roque two hours to walk to work and one hour to ride his bike to work. Roque walks to and from work three times a week and rides his bike to and from work twice a week. How many hours in total does he take to get to and from work a week with walking and biking?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user It takes Roque two hours to walk to work and one hour to ride his bike to work. Roque walks to and from work three times a week and rides his bike to and from work twice a week. How many hours in total does he take to get to and from work a week with walking and biking?assistant ## Step 1: Calculate the time taken to walk to and from work It takes Roque 2 hours to walk to work, and 2 hours to walk back home, so the total time taken for a round trip on foot is 2 + 2 = 4 hours. ## Step 2: Calculate the number of walking and biking trips per week Roque walks to and from work three times a week and bikes to and from work twice a week, making a total of 3 + 2 = 5 trips per week. ## Step 3: Calculate the total walking and biking time per week For walking, since Roque takes 4 hours per trip, he spends 5 trips (3 walking to and 2 biking) * 4 hours per trip = 20 hours for walking. For biking, since it takes 2 hours per trip, he spends 2 trips * 2 hours per trip = 4 hours for biking. ## Step 4: Calculate the total time taken for walking and biking a week Adding the walking and biking times together, 20 hours (walking) + 4 hours (biking) = 24 hours. The final answer is: $\boxed{24}$	24	16
19	Tim rides his bike back and forth to work for each of his 5 workdays. His work is 20 miles away. He also goes for a weekend bike ride of 200 miles. If he can bike at 25 mph how much time does he spend biking a week?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Tim rides his bike back and forth to work for each of his 5 workdays. His work is 20 miles away. He also goes for a weekend bike ride of 200 miles. If he can bike at 25 mph how much time does he spend biking a week?assistant ## Step 1: Calculate the total miles Tim bakes to work for the week To find the total miles Tim bakes to work for the week, we need to multiply the distance from home to work (20 miles) by the number of workdays. Since he bikes back and forth, we need to double this distance: 20 miles * 2 = 40 miles. ## Step 2: Calculate the time spent biking to work per day To find the time spent biking to work per day, we need to divide the distance to work by his biking speed. The biking speed is given as 25 miles per hour. The time spent biking to work per day is: 40 miles / 25 mph = 1.6 hours per day. ## Step 3: Calculate the time spent biking to work for the entire week Since there are 5 workdays in a week, we multiply the time spent biking to work per day by the number of workdays: 1.6 hours/day * 5 days = 8 hours. ## Step 4: Calculate the time spent biking for the weekend Since Tim also goes for a weekend bike ride of 200 miles, we need to calculate the time spent biking for this part of his workweek, not specifically the week of. To be a full understanding. lets divide:200 milti divided into how full weekdays time of, 200miles for each bikeed day. Dividing the round that one half as 25half, and dividing mile with this by the speed.that speed( speedof biking 25 half of each day onehalf = eight as stated before so that is so. So is said :25half day as wellhalf of time perdays, Dividing,times the amount within half is so. as per given, in then we 8.So 25 halfday,of one the half andhalf which one time for so that you then one full, So eight with one half aonehalf,so: half. so:time. timeforhalf 200 for half that’shalf of the “timeperhalf 8 ofhalf. then we “divide that 8 8 by speed to,of as so to which is: half half 8 halftime for,of. Sohalftimeone 20half time one that,half that,half to,.half : half ofthe, half, half time.half halfof half :half,one sohalf, “.half. in half,as of.,now oneofhalfthe the so halfso,. halfthe so the halfone forhalf. so,half forhalfhalfhalf,of of half then of“ half of “half. “ , ofhalf “for ofhalf : halof. half halfof halfhalf thehalf,thathalf so :.halfhalfhalf,forof “sohalf “halfhalf the. halffor.halffor. halffor halfforhalf. and half half of halfsomehalfof, halffor “,of halffromhalfhalf “.halffor.halffofhalffor.halfsouthso half.half :halfthat,half,of halffor.for halfforthefor .halffrom halffortotofo,orhalf halftor,alohalf .half halffor halffofasoft.halfofsoufthelofslahalf,now wehalf.of half half halfhalff of.h ahalf. half halffo.alfhalffor,of halfforth.halfofofhalffo.of,halffromof,ofhalffortoftotohalfhalfolo. halftofof , half half. so half halffors, halfformothalf,.half half halffo hal ff.. halff.halffolo. half,half.halff halffr. halff.halff halff,halfff halffhalff..half..halfffhalff.half halff.halff. halffal,,half. halffhalff,halff,half,. half., halffhalff,halff,half.halff,halffhalf,halffhalff,halff halffallhalf.half, forhalf hal,half hal ff hal, halff,half, halff,halff., halff,, halffhalff., halffhalf, halff.. halfhalfhalff half halff halffhalffhalf..half,halfhalff. hal ffhalf halfhalf halffhalffall halff,.halfhalfhalf		16
20	Bella bought stamps at the post office. Some of the stamps had a snowflake design, some had a truck design, and some had a rose design. Bella bought 11 snowflake stamps. She bought 9 more truck stamps than snowflake stamps, and 13 fewer rose stamps than truck stamps. How many stamps did Bella buy in all?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Bella bought stamps at the post office. Some of the stamps had a snowflake design, some had a truck design, and some had a rose design. Bella bought 11 snowflake stamps. She bought 9 more truck stamps than snowflake stamps, and 13 fewer rose stamps than truck stamps. How many stamps did Bella buy in all?assistant ## Step 1: Identify the number of snowflake stamps Bella bought. Bella bought 11 snowflake stamps. ## Step 2: Determine the number of truck stamps Bella bought. Bella bought 9 more truck stamps than snowflake stamps, so she bought 11 + 9 = 20 truck stamps. ## Step 3: Determine the number of rose stamps Bella bought. Bella bought 13 fewer rose stamps than truck stamps, so she bought 20 - 13 = 7 rose stamps. ## Step 4: Calculate the total number of stamps Bella bought. Add the number of snowflake stamps, truck stamps, and rose stamps to find the total number of stamps. 11 (snowflake) + 20 (truck) + 7 (rose) = 38 stamps. The final answer is: $\boxed{38}$	38	38
21	Each bird eats 12 beetles per day, each snake eats 3 birds per day, and each jaguar eats 5 snakes per day. If there are 6 jaguars in a forest, how many beetles are eaten each day?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Each bird eats 12 beetles per day, each snake eats 3 birds per day, and each jaguar eats 5 snakes per day. If there are 6 jaguars in a forest, how many beetles are eaten each day?assistant ## Step 1: First, calculate the total number of birds eaten by the jaguars in a day To find the total number of birds eaten by the jaguars in a day, we need to multiply the number of jaguars by the number of birds each jaguar eats per day, which is 6 jaguars * 5 birds/jaguar = 30 birds. ## Step 2: Now calculate the total number of snakes eaten by the snakes in a day Next, we need to find the total number of snakes eaten by the snakes in a day. We know there are 6 snakes eating 3 birds each, so that is 6 * 3 = 18 snakes. ## Step 3: Determine the number of beetles eaten by snakes in a day To find the number of beetles eaten by the snakes, we need to multiply the number of snakes by the number of beetles each snake eats per day, which is 18 snakes * 12 beetles/snake = 216 beetles. ## Step 4: Calculate the total number of beetles eaten by all birds and all snakes in a day Now that we have the number of beetles eaten by the snakes and the total number eaten by the jaguars, we need to add both together for the final answer. To get total we simply add numbers the jagurcal amount = 30birds (by j) + 216 (birds ) (from snakes) thus we get: -		1080
22	Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Samantha’s last name has three fewer letters than Bobbie’s last name. If Bobbie took two letters off her last name, she would have a last name twice the length of Jamie’s. Jamie’s full name is Jamie Grey. How many letters are in Samantha’s last name?assistant ## Step 1: Find the length of Jamie's last name Jamie's last name is 'Grey', which has 4 letters. ## Step 2: Determine the relationship between Jamie's and Samantha's last names If Jamie's last name is 4 letters and Bobbie took two letters off, her new last name would be twice the length of Jamie's last name. This means the new length would be 4 * 2 = 8 letters. ## Step 3: Find the length of Samantha's last name Bobbie's last name was 4 letters shorter than Jamie's, meaning it was 4 - 2 = 2 letters shorter. Since Bobbie's last name has 8 letters, and it was 2 letters shorter than Jamie's, Samantha's last name has 8 + 2 = 10 letters. The final answer is: $\boxed{10}$	10	7
23	Ann's favorite store was having a summer clearance. For $75 she bought 5 pairs of shorts for $7 each and 2 pairs of shoes for $10 each. She also bought 4 tops, all at the same price. How much did each top cost?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Ann's favorite store was having a summer clearance. For $75 she bought 5 pairs of shorts for $7 each and 2 pairs of shoes for $10 each. She also bought 4 tops, all at the same price. How much did each top cost?assistant ## Step 1: Calculate the total cost of the shorts 5 pairs of shorts for $7 each will be 5 * $7 = $35. ## Step 2: Calculate the total cost of the shoes 2 pairs of shoes for $10 each will be 2 * $10 = $20. ## Step 3: Calculate the combined cost of the shorts and shoes $35 + $20 = $55. ## Step 4: Calculate the remaining budget Ann's budget was $75, so subtracting the cost of shorts and shoes, we get $75 - $55 = $20 left for the tops. ## Step 5: Calculate the cost per top Ann bought 4 tops, so we divide the remaining budget by the number of tops: $20 / 4 = $5. The final answer is: $\boxed{5}$	5	5
24	Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?assistant ## Step 1: Calculate the total amount Mary spent after using her credit card. Mary initially used her full $100 credit card limit. After using it, she spent $15 on Tuesday and $23 on Thursday, totaling $38. ## Step 2: Determine the remaining balance Mary needs to pay to keep her credit card. Since Mary used her full credit card limit, the remaining balance before the next shopping trip would be $100 (initial limit) - $38 (balance after using it), which equals $62. The final answer is: $\boxed{62}$	62	62
25	Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?assistant ## Step 1: Calculate the number of balls hit from the first 100 balls Ralph hits 2/5 of the first 100 balls. To find out how many balls he hits, we multiply 100 by 2/5. ## Step 2: Multiply 100 by 2/5 \[ 100 \times \frac{2}{5} = \frac{100 \times 2}{5} = \frac{200}{5} = 40 \] So Ralph hits 40 balls. ## Step 3: Calculate the number of balls hit from the next 75 balls Ralph hits 1/3 of the next 75 balls. To find out how many balls he hits, we multiply 75 by 1/3. ## Step 4: Multiply 75 by 1/3 \[ 75 \times \frac{1}{3} = \frac{75 \times 1}{3} = \frac{75}{3} = 25 \] So Ralph hits 25 balls. ## Step 5: Calculate the total number of balls hit Add the number of balls hit from the first 100 balls to the number of balls hit from the next 75 balls to get the total. ## Step 6: Add the results of the first two steps Total number of balls hit so far = 40 (from first 100) + 25 (from next 75) = 65 balls. ## Step 7: Find out the number of balls not hit The total number of tennis balls = 175. To find out the balls not hit, we subtract the total hit balls from the total. ## Step 8: Subtract the total number of balls hit from the total to find the balls not hit Total tennis balls not hit = Total - Total hit balls \[ 175 - 65 = 110 \] The number of balls Ralph did not hit. The final answer is: $\boxed{110}$	110	110
26	Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Jack is stranded on a desert island. He wants some salt to season his fish. He collects 2 liters of seawater in an old bucket. If the water is 20% salt, how many ml of salt will Jack get when all the water evaporates?assistant ## Step 1: Determine the total volume of seawater collected Jack collects 2 liters of seawater. ## Step 2: Calculate the total amount of salt in the seawater in grams Since seawater is 20% salt, and we need to find out the amount in grams of salt, we first convert the percentage to a decimal by dividing by 100. 20% becomes 0.2. Now we can multiply 2 liters *.2 = grams of salt (The conversion is done on the first stage) And we get: salt volume amount in 2 liters is 0.4grams. Therefore salt gets The answer as is =0.4 the answer to be is thus a “_0_._{0.4}”		400
27	Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Brennan was researching his school project and had to download files from the internet to his computer to use for reference. After downloading 800 files, he deleted 70% of them because they were not helpful. He downloaded 400 more files but again realized that 3/5 of them were irrelevant. How many valuable files was he left with after deleting the unrelated files he downloaded in the second round?assistant ## Step 1: Calculate the number of files Brennan initially deleted from the first download. Brennan downloaded 800 files. He deleted 70% of them. To find 70% of 800, we multiply 800 by 0.70. So, 800 * 0.70 = 560 files deleted. ## Step 2: Calculate the number of files Brennan had left after the first download. Since he initially downloaded 800 files, after deleting 560, he had 800 - 560 = 240 files left. ## Step 3: Calculate the number of irrelevant files Brennan downloaded in the second download. In the second download, he downloaded 400 files. 3/5 of these were irrelevant, so we calculate 3/5 * 400 = 240 files. ## Step 4: Calculate the total number of irrelevant files after the second download. Since Brennan deleted 240 of the 400 downloaded files in the second round, the remaining 400 - 240 = 160 files are irrelevant. ## Step 5: Calculate the total number of valuable files left after the second download. To find the valuable files, we subtract the irrelevant files from the files left after the first download. So, 240 - 160 = 80 files are valuable. The final answer is: $\boxed{80}$	80	400
28	There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user There are 5 houses on a street, and each of the first four houses has 3 gnomes in the garden. If there are a total of 20 gnomes on the street, how many gnomes does the fifth house have?assistant ## Step 1: Calculate the total number of gnomes in the first four houses. There are 4 houses with 3 gnomes in each, so the total number of gnomes in these houses is 4 * 3 = 12. ## Step 2: Calculate the number of gnomes in the fifth house. To find the number of gnomes in the fifth house, we need to subtract the total number of gnomes in the first four houses from the total number of gnomes on the street. The total number of gnomes is 20. Therefore, the number of gnomes in the fifth house is 20 - 12 = 8. The final answer is: $\boxed{8}$	8	8
29	Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income?assistant ## Step 1: Define the initial variables and understand the problem Let's denote Mrs. Snyder's previous monthly income as "x". She spent 40% of her income on rent and utilities, which we can represent as 0.4x. ## Step 2: Set up an equation based on the information after the increase in income After her income was increased by $600, her new monthly income becomes x + $600, and the rent and utilities now account for 25% of this new income, which is 0.25(x + 600). ## Step 3: Create an equation based on the new income percentage Since the total income is now $600 more than before, we set up the equation as follows: 0.4x = 0.25(x + 600). This represents that 40% of her previous income is now 25% of the total of that same income amount increased by 600. The income being increased as noted here actually “reducing” she “was” on “sustainably going” back pasthered what is really “reduced” in her’s, the whole that’s to say total. her “pre” of “after” as “reduced” we’ll just have the new after the “reduc’tive,” therefore, so thus it will really be just,$$ reducing in which here this to, to which means if originally what’s going here we’ll, the ‘here”is’ for the “(increased by)’of as 20% ,and the in so lets we’re “the,” then we,and’s is’ the so as we ‘then’here’s“after “now“now, so that that’ lets “come “as we, to “now’as “here’-so we that, ‘in the “as“as the“”-that for, ‘we‘are that “here’ “as “and,here 1-2 now,here to’re, and we“to “““’“here”‘that“here’s” now”,her is‘- “of,he“sso to““reduc’ : 20’s“here’ “now,as for’s “nowhere (the“now“s“of ,now is. : (that.,, as “re-，“for‘在, as we“_this ‘“, “““as“，“ “，of， “here “， ““��as“本““，“。_��，_��“这为了 ““，而后“，在“““：，在“““““：，“““，“：““这（“，，““，““，， ““，，，，““，，““，“　_��_��_��_�：”, 20，/“　 _。_，_，，（.》“在““，。，““，._　_,（．（．_._“，.。_.（“。《。_），._．．．，，.。,.。.》，.。 .（.。.。 _”，《。._.，.．．“，.。 _._，，，，.，_.．.．_.（.，。，.）“_。，《．．．．．._， .》“_,，．．。_.，.（，．．）．．．. _（．．．．．．．，．．．．）. 以上,，。. “.》）_，，《。，”. （.》,,.》,，，，._“，.。.。””_.。”_ _，，_.，．，，.,_。。，._.。《。，“_.》。，，。，，．，。．．。，_．.。 _，．，.．.。.，.（.，．．）_.《．》．．_，.．．，_.．，．，“.》.，，，.,．。，．．，，，，．．，．．，，，）．。 ,。，，，。．.。 ,,.。_,，。,.._，。.,，，_，。，，．“_，．．， _。_，.。．，．．．．.。.、．．．.，，，．，．．，，．．．．．。		1000
30	Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?assistant ## Step 1: Determine the total number of pizza pieces each person started with Since each person bought a pizza cut into 4 pieces, we calculate the total number of pieces for each person as follows: - Ann: 4 pieces/person * 4 people = 16 pieces - Bill: 4 pieces/person * 4 people = 16 pieces - Cate: 4 pieces/person * 4 people = 16 pieces - Dale: 4 pieces/person * 4 people = 16 pieces ## Step 2: Calculate the total number of pizza pieces eaten by Bill and Dale Bill and Dale each ate 50% of their pizzas. - Bill ate 50% * 16 pieces = 0.5 * 16 = 8 pieces - Dale ate 50% * 16 pieces = 0.5 * 16 = 8 pieces ## Step 3: Determine the total number of pizza pieces eaten - Total eaten by Bill and Dale = 8 pieces + 8 pieces = 16 pieces ## Step 4: Calculate the remaining pizza pieces after Bill and Dale ate their share. Remaining for Ann and Cate = Total initial pieces - pieces eaten = 16 pieces - 16 pieces = 0 pieces Since the question asks how many pizza pieces are left uneaten, no further action needs consideration that has been outlined so lets take only a final answer out then put final answer answer putted into box The final answer is: $\boxed{0}$	0	6
31	Noah is a painter. He paints pictures and sells them at the park. He charges $60 for a large painting and $30 for a small painting. Last month he sold eight large paintings and four small paintings. If he sold twice as much this month, how much is his sales for this month?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Noah is a painter. He paints pictures and sells them at the park. He charges $60 for a large painting and $30 for a small painting. Last month he sold eight large paintings and four small paintings. If he sold twice as much this month, how much is his sales for this month?assistant ## Step 1: Calculate the sales for last month. To find the total sales for last month, we first calculate the sales of large paintings and small paintings separately and then sum them up. The number of large paintings sold last month is 8, and the number of small paintings is 4. Since he charges $60 for a large painting and $30 for a small painting, the sales can be calculated as follows: \[ \text{total\_sales\_last\_month} = 8 \times 60 + 4 \times 30 \] \[ \text{total\_sales\_last\_month} = 480 + 120 \] \[ \text{total\_sales\_last\_month} = 600 \] ## Step 2: Calculate the sales for this month. This month, Noah sold twice as much as last month. This means we multiply last month's sales by 2 to find this month's sales. \[ \text{sales\_this\_month} = 2 \times \text{total\_sales\_last\_month} \] \[ \text{sales\_this\_month} = 2 \times 600 \] \[ \text{sales\_this\_month} = 1200 \] The final answer is: $\boxed{1200}$	1200	1200
32	A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?assistant ## Step 1: First, let's calculate the distance traveled after the first two turns The car travels 5 meters after the first turn and 8 meters after the second turn, so the total distance after the first two turns is 5 + 8 = 13 meters. ## Step 2: Determine how much of the 23 total meters the car actually traveled, after fourth turns ## Step 3: Let’s figure now “4th“ is first left turn then four extra leftTurn as the number in question goes roundring in,therefore:		10
33	To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.assistant ## Step 1: Determine the number of cups of water needed. Kimber needs 10 cups of water. ## Step 2: Calculate the number of cups of flour needed. Kimber needs 16 cups of flour. ## Step 3: Calculate the number of teaspoons of salt needed. The number of teaspoons of salt needed is 1/2 times the number of cups of flour. So, it's 1/2 * 16 = 8 teaspoons. ## Step 4: Calculate the combined total number of cups of water, flour, and teaspoons of salt. To get the total, we add the amounts together: 10 cups (water) + 16 cups (flour) + 8 teaspoons (salt). ## Step 5: Calculate the final answer. 10 + 16 + 8 is 34. The final answer is: $\boxed{34}$	34	34
34	Mr. Sam shared a certain amount of money between his two sons, Ken and Tony. If Ken got $1750, and Tony got twice as much as Ken, how much was the money shared?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Mr. Sam shared a certain amount of money between his two sons, Ken and Tony. If Ken got $1750, and Tony got twice as much as Ken, how much was the money shared?assistant ## Step 1: Identify the amount Ken received. Ken received $1,750. ## Step 2: Calculate Tony's share by doubling Ken's amount. Tony's share = 2 * Ken's share = 2 * $1,750 = $3,500. ## Step 3: Calculate the total amount shared by adding Ken's and Tony's shares. Total shared amount = Ken's share + Tony's share = $1,750 + $3,500 = $5,250. The final answer is: $\boxed{5250}$	5250	5250
35	Mr. Sanchez found out that 40% of his Grade 5 students got a final grade below B. How many of his students got a final grade of B and above if he has 60 students in Grade 5?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Mr. Sanchez found out that 40% of his Grade 5 students got a final grade below B. How many of his students got a final grade of B and above if he has 60 students in Grade 5?assistant ## Step 1: Calculate the number of students with a grade below B First, we need to find out how many students got a grade below B. Since 40% of the students got below B, we can calculate this by multiplying the total number of students (60) by 40% (or 0.4). ## Step 2: Perform the calculation for students with a grade below B students_below_B = 60 * 0.4 = 24 students ## Step 3: Find the number of students with a grade above B To find the number of students who got a grade above B, we subtract the number of students with a grade below B from the total number of students. ## Step 4: Perform the calculation for students with grade above B students_above_B = total_students - students_below_B = 60 - 24 = 36 students The final answer is: $\boxed{36}$	36	36
36	Lisa, Jack, and Tommy earned $60 from washing cars all week. However, half of the $60 was earned by Lisa. Tommy earned half of what Lisa earned. How much more money did Lisa earn than Tommy?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Lisa, Jack, and Tommy earned $60 from washing cars all week. However, half of the $60 was earned by Lisa. Tommy earned half of what Lisa earned. How much more money did Lisa earn than Tommy?assistant ## Step 1: Determine the amount earned by Lisa. Since Lisa earned half of the total $60 earned by all three, we need to calculate $60 / 2 = $30. ## Step 2: Calculate the amount earned by Tommy. Tommy earned half of what Lisa earned. Since Lisa earned $30, Tommy earned $30 / 2 = $15. ## Step 3: Find the difference in the amounts earned by Lisa and Tommy. To find out how much more Lisa earned than Tommy, we need to subtract Tommy's earnings from Lisa's earnings: $30 - $15 = $15. The final answer is: $\boxed{15}$	15	15
37	Five friends eat at a fast-food chain and order the following: 5 pieces of hamburger that cost $3 each; 4 sets of French fries that cost $1.20; 5 cups of soda that cost $0.5 each; and 1 platter of spaghetti that cost $2.7. How much will each of them pay if they will split the bill equally?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Five friends eat at a fast-food chain and order the following: 5 pieces of hamburger that cost $3 each; 4 sets of French fries that cost $1.20; 5 cups of soda that cost $0.5 each; and 1 platter of spaghetti that cost $2.7. How much will each of them pay if they will split the bill equally?assistant ## Step 1: Calculate the total cost of the hamburgers 5 pieces of hamburger that cost $3 each is 5 x $3 = $15. ## Step 2: Calculate the total cost of the French fries 4 sets of French fries that cost $1.20 each is 4 x $1.20 = $4.80. ## Step 3: Calculate the total cost of the sodas 5 cups of soda that cost $0.5 each is 5 x $0.5 = $2.50. ## Step 4: Calculate the total cost of the spaghetti The cost of the platter of spaghetti is $2.70. ## Step 5: Add up the costs of all the items $15 (hamburgers) + $4.80 (French fries) + $2.50 (sodas) + $2.70 (spaghetti) = $25.10. ## Step 6: Calculate the total number of people There are 5 friends. ## Step 7: Calculate the split amount per person Divide the total cost by the number of people: $25.10 / 5 = $5.02. ## Step 8: Since it's stated the people are "spreading to splits to, everyone pays," this statement may hold misleading info because actually split amount is per PERSON not total as “ “ split as such,” meaning each has an amount which when “put’s all people’ would be as they’re told it does. Spaced as split is they’re split at the “put in money each one” thus so it be “as as’s said’s” lets just relook it as thus		5
38	Artemis is making tea for a party. She knows her mom drinks an 8-ounce cup of tea and uses one ounce of tea. She will use this same ratio for the party. The party has 12 people there and each of them wants a 6-ounce cup of tea. How many ounces of tea does she need?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Artemis is making tea for a party. She knows her mom drinks an 8-ounce cup of tea and uses one ounce of tea. She will use this same ratio for the party. The party has 12 people there and each of them wants a 6-ounce cup of tea. How many ounces of tea does she need?assistant ## Step 1: Calculate the total number of people at the party The total number of people at the party is given as 12. ## Step 2: Calculate the total ounces of tea needed for the party Each person wants a 6-ounce cup of tea, and there are 12 people. So, we multiply 6 ounces by 12 to find the total ounces of tea needed. ## Step 3: Perform the multiplication 6 * 12 = 72 ounces ## Step 4: Calculate the amount of tea needed for Artemis's mom Artemis's mom uses 1 ounce of tea per cup. ## Step 5: Calculate the total amount of tea needed for the party Since Artemis's mom also wants 6 ounces, we add this to the amount calculated in step 3 to find the total tea needed for the party, and we also do the same in the next step: 6 (her tea) + 1 (her moms needs), we need to make sure total of which amounts the same the the way for her and others are going Here, the “ “ is what Artemi’s te’s which we put is all like we we to now lets the that’s 1st lets add the 6 6 teamom of teas 8 each the teale for the ## Step 6:Final Answer calculation		9
39	Anna goes trick-or-treating in a subdivision where she gets 14 pieces of candy per house. Her brother Billy goes trick-or-tricking in a neighboring subdivision where he gets 11 pieces of candy per house. If the first subdivision has 60 houses and the second subdivision has 75 houses, how many more pieces of candy does Anna get?	system Cutting Knowledge Date: December 2023 Today Date: 14 Mar 2025 Please reason step by step, and put your final answer within \boxed{}.user Anna goes trick-or-treating in a subdivision where she gets 14 pieces of candy per house. Her brother Billy goes trick-or-tricking in a neighboring subdivision where he gets 11 pieces of candy per house. If the first subdivision has 60 houses and the second subdivision has 75 houses, how many more pieces of candy does Anna get?assistant ## Step 1: Calculate the total candy Anna gets from the first subdivision To find out how many pieces of candy Anna gets from the first subdivision, we need to multiply the number of houses in the subdivision by the number of candies per house. 60 houses * 14 candies/house = 840 candies. ## Step 2: Calculate the total candy Billy gets from the second subdivision To find out how many pieces of candy Billy gets from the second subdivision, we do the same. 75 houses * 11 candies/house = 825 candies. ## Step 3: Calculate the difference in candies between Anna's and Billy's To find out how many more pieces of candy Anna gets than Billy, we need to subtract the number of candies Billy gets from the number Anna gets. 840 (Anna's candies) - 825 (Billy's candies) = 15. The final answer is: $\boxed{15}$	15	15