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Paula has 20 candies to be given out to her six friends. She needs to buy four additional candies so she can give an equal number of candies to her friends. How many candies will each of her friends get?
Paula will have a total of 20 + 4 = <<20+4=24>>24 candies. Thus, each of her friends will receive 24/6 = <<24/6=4>>4 candies. #### 4
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A soccer team has three goalies and ten defenders. The team also has twice as many midfielders as defenders, and the rest of the players are strikers. If the team has 40 players, how many strikers are in the team?
The team's total number of goalies and defenders is 3+10 = <<3+10=13>>13. The number of midfielders in the team is twice the number of defenders, which means there are 2*10=<<2*10=20>>20 defenders in the team. The total number of players in the team playing the positions of goalies, defenders and midfielders is 20+13 = <<20+13=33>>33 If there are 40 players in the team, then the number of strikes in the team is 40-33 = <<40-33=7>>7 #### 7
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Vanessa wants to buy a dress she saw at the mall, which costs $80, and she already has $20 in savings. Her parents give her $30 every week, but she also spends $10 each weekend at the arcades. How many weeks will she have to wait until she can gather enough money to buy the dress?
Vanessa needs $80 – $20 = $<<80-20=60>>60 to buy the dress. She manages to gather $30 - $10 = $<<30-10=20>>20 each week The number of weeks she has to wait is 60 ÷ 20 = <<60/20=3>>3 weeks. #### 3
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John and Anna bought some eBook readers. John bought 15 eBook readers less than Anna did. Unfortunately, John lost 3 eBook readers. If Anna bought 50 eBook readers, how many eBook readers do they have altogether?
John bought 50-15 = <<50-15=35>>35 eBook readers. John has 35-3 = <<35-3=32>>32 eBook readers after losing some. Together they have 50+32 = <<50+32=82>>82 eBook readers. #### 82
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Keesha wants to get her hair and nails done for prom. Hair updos cost $50 and manicures cost $30. How much will these two services cost her with a 20% tip for each beautician?
Tip for the hair stylist will be $50 x 20% = $<<50*20*.01=10>>10. Tip for the manicurist will be $30 x 20% = $<<30*20*.01=6>>6. Total tips will be $10 + $6 = $<<10+6=16>>16. Total for hair and nails is $50 + $30 = $<<50+30=80>>80. Total for the two services plus tip is $80 + $16 = $<<80+16=96>>96. #### 96
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Jazel has 3 sticks. One stick is 3 centimeters long. The second stick is twice as long while the third stick is 1 centimeter shorter than the second stick. What is the total length of Jazel's sticks when they are put together?
The second stick is 3 x 2 = <<3*2=6>>6 centimeters long. The third stick is 6 - 1 = <<6-1=5>>5 centimeters long. Thus, Jazel's sticks are 3 + 6 + 5 = <<3+6+5=14>>14 centimeters long when they are put together. #### 14
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Mark gets a new phone plan that is 30% more expensive than his old plan. If his old plan was $150 a month how much does his new plan cost?
His new plan is 150*.3=$<<150*.3=45>>45 more expensive than his old plan So his new plan is 150+45=$<<150+45=195>>195 #### 195
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Olivia and Nigel are traveling in Asia.  Olivia has $112 and Nigel has $139. If together they buy six one day passes to a tourist attraction for $28 per ticket, how much money do they have left?
They have 112+139=$<<112+139=251>>251 The passes cost 6*28=$<<6*28=168>>168 They have 251-168=$<<251-168=83>>83 left. #### 83
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12 archeology students and 4 teachers went on a field trip to a dinosaur museum. Student tickets cost $1 each, and adult tickets cost $3 each. How much did the museum tickets cost in all?
The cost of the 12 student tickets is 12 * $1 = $<<12*1=12>>12. The cost of the 4 teacher tickets is 4 * $3 = $<<4*3=12>>12. Adding the cost of the student and teacher tickets, the museum tickets cost $12 + $12 = $<<12+12=24>>24 in total. #### 24
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There are 3/5 times as many people living in Boise as the number living in Seattle. There are 4000 more people in Lake View than the population in Seattle. If Lake View's population is 24000, calculate the total population of the three cities.
If Lake View's population is 24000, then there are 24000-4000 = <<24000-4000=20000>>20000 people living in Seattle. The total population of Seattle and Lake view is 20000+24000 = <<20000+24000=44000>>44000 Since the population in Boise is 3/5 times that of Seattle, there are 3/5*20000 = <<3/5*20000=12000>>12000 people living in Boise. The three cities have a total population of 44000+12000=<<44000+12000=56000>>56000 #### 56000
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Twelve coworkers go out for lunch together and order three pizzas. Each pizza is cut into eight slices. If each person gets the same number of slices, how many slices will each person get?
The total number of slices is 3 × 8 = <<3*8=24>>24. Every one of the colleagues gets 24 / 12 = <<24/12=2>>2 slices per person. #### 2
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Vicente saw Sophie's mom giving Sophie 20 oranges every day to carry to school to eat. He also saw Hannah's dad giving Hannah 40 grapes every day to eat at the school. If he counted the number of fruits that the girls were given for 30 days, calculate the total number of fruits that Sophie and Hannah had eaten in the 30 days.
If Sophie was given 20 oranges every day for thirty days, she had taken 20*30 = <<20*30=600>>600 oranges to school. Similarly, in the thirty days, Hannah had taken 40*30 = <<40*30=1200>>1200 grapes to school. In the thirty days, Hannah and Sophie took 1200+600 = <<1200+600=1800>>1800 fruits to school. #### 1800
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Carol gets a fixed $20 allowance each week. She can also earn $1.5 more dollars each week if she does extra chores. At the end of 10 weeks, she has 425 dollars. How many extra chores did she average each week?
She earned $42.5 on average per week because 425 / 10 = <<425/10=42.5>>42.5 She earned $22.5 each week from extra chores because 42.5 - 20 = <<42.5-20=22.5>>22.5 She did 15 extra chores a week because 22.5 / 1.5 = <<22.5/1.5=15>>15 #### 15
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A group of people contains men, women, and children. The number of men is twice the number of women, and the number of women is 3 times the number of children. If the number of children is 30, how many people does this group contain?
The number of women in the group is 3 women/child * 30 children = <<3*30=90>>90 women. The number of men in the group is 2 men/woman * 90 women = <<2*90=180>>180 men. The total number of people in the group is 180 men + 90 women + 30 children = <<180+90+30=300>>300 people. #### 300
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There are 55 people at the track meet. 30 of them are boys, and the rest are girls. Three fifths of the girls have long hair, and the rest have short hair. How many girls have short hair?
There are 55-30 = <<55-30=25>>25 girls at the track meet. There are (25/5)*3 = <<25/5*3=15>>15 girls with long hair. There are 25-15 = <<25-15=10>>10 girls with short hair. #### 10
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Alex is on a cross-country bike trip. After starting this morning, he manages an average speed over flat ground of about 20 miles per hour. Four and a half hours later, the road started to incline upwards enough that he could only manage 12 miles per hour. Two and a half hours later, though, the road declined downhill and was able to mostly coast at 24 miles per hour. Unfortunately, he only got to enjoy this for one and a half hours before he punctured a tire. He had forgotten to pack a repair kit, so he had to walk his bike the rest of the way to the next town. If the next town was 164 miles from where he started this morning, how far did Alex have to walk?
Alex traveled at 20 miles per hour for 4.5 hours, so 20 * 4.5 = <<20*4.5=90>>90 miles on flat ground. He traveled 12 miles per hour uphill for 2.5 hours, so 12 * 2.5 = <<12*2.5=30>>30 miles uphill. He traveled downhill 24 miles per hour for 1.5 hours = 24 * 1.5 = <<24*1.5=36>>36 miles downhill. Before his tire punctured, he traveled 90 + 30 + 36 = <<90+30+36=156>>156 miles. So as the next town is 164 miles from where he began, Alex had to walk for 164 - 156 = <<164-156=8>>8 miles. #### 8
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John is twice as old as Mary and half as old as Tonya. If Tanya is 60, what is their average age?
John is 30 because 60 / 2 = <<60/2=30>>30 Mary is fifteen because 30 / 2 = <<30/2=15>>15 Their total age is 105 because 60 + 30 + 15 = <<60+30+15=105>>105 Their average age is 35 because 105 / 3 = <<105/3=35>>35 #### 35
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Jacob can write twice as fast as Nathan. Nathan wrote 25 letters in one hour. How many letters can the two write in 10 hours together?
Since Nathan writes 25 letters in an hour, Jacob writes 25*2 = <<25*2=50>>50 letters in an hour. Together, they write 50+25 = <<50+25=75>>75 letters in an hour, In 10 hours, they'll write a total of 75*10 = <<10*75=750>>750 letters #### 750
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Billy and George are picking dandelions. At first, Billy picks 36 and then George picks 1/3 as many as Billy. When they see the pile, they each decide to pick 10 more each. How many have they picked on average?
George picked at first 12 because 36 / 3 = <<36/3=12>>12. George picks 22 by the end because 12 + 10 = <<12+10=22>>22 Billy picks 66 by the end because 36 + 10 = <<36+10=46>>46 In total they picked 68 because 22 + 46 = <<22+46=68>>68 On average they picked 34 because 68 / 2 = <<68/2=34>>34 #### 34
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Jonathan's full name contains 8 letters for the first name and 10 letters for the surname. His sister's name has 5 letters for the first name and 10 letters for the second name. What's the total number of letters in their names?
Jonathan has 8 +10 = <<8+10=18>>18 letters in his name. His sister has 5+10 = <<5+10=15>>15 letters in her name. The total number of letters in their names is 18+15 = <<18+15=33>>33 #### 33
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A store is having an anniversary sale. A tub of ice cream costs $2 less than its original price of $12 and the juice is sold at $2 for 5 cans. How much will you pay if you buy two tubs of ice cream and 10 cans of juice?
The price of a tub of ice cream is now $12 - $2 = $<<12-2=10>>10. So the two tubs of ice cream amount to $10 x 2 = $<<10*2=20>>20. There are 10/5 = <<10/5=2>>2 sets of 5 cans of juice. Thus, you will pay $2 x 2 = $4 for the 10 cans of juice. Therefore, you will pay a total of $20 + $4 = $<<20+4=24>>24. #### 24
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A farmer has 52 cows. Each cow gives 5 liters of milk a day. How many liters of milk does the farmer get in a week?
The amount of milk one cow gives in a week: 5 liters/day * 7 days/week = <<5*7=35>>35 liters/week The amount of milk 52 cows give in a week: 52 cows * 35 liters/week/cow= <<52*35=1820>>1820 liters/week #### 1820
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The school nurse must conduct lice checks at the elementary school. She must check 26 Kindergarteners, 19 first graders, 20 second graders, and 25 third graders. If each check takes 2 minutes, how many hours will it take the nurse to complete all the checks?
The school nurse must check a total of 26 Kindergarteners + 19 first graders + 20 second graders + 25 third graders = <<26+19+20+25=90>>90 students in all. If every check takes 2 minutes, it will take 90 students x 2 minutes = <<90*2=180>>180 minutes. There are 60 minutes in one hour, so it will take 180 minutes / 60 = <<180/60=3>>3 hours to complete the checks. #### 3
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In a fundraiser car wash activity, the 5th graders raised $147 on Friday. On Saturday, they made $7 more than twice their Friday earnings. Their earnings on Sunday are $78 more than their earnings on Friday. How much did they earn in three days?
Twice their Friday's earnings is $147 x 2 = $<<147*2=294>>294. So, their Saturday earnings was $294 + $7 = $<<294+7=301>>301. Their Sunday earnings was $147 + $78 = $<<147+78=225>>225. Therefore, their total earnings in three days was $147 + $301 + $225 = $<<147+301+225=673>>673. #### 673
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Two old ladies spent the afternoon walking through Central Park. The first lady walked twice as far as the second lady. If the second lady walked four miles, what is the combined total distance, in miles, the two ladies walked?
The first lady walked 2*4=<<2*4=8>>8 miles. In total, the two ladies walked 4+8=<<4+8=12>>12 miles. #### 12
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Lily got a new puppy for her birthday. She was responsible for feeding the puppy 1/4 cup of food three times a day for two weeks starting tomorrow. For the following 2 weeks, Lily will feed him 1/2 cup of food twice a day. She has fed him 1/2 cup of food today. Including today, how much food will the puppy eat over the next 4 weeks?
1 week has 7 days so 2 weeks will have 2*7 = <<7*2=14>>14 days The puppy will eat 1/4c three times a day so .25*3= <<.25*3=.75>>.75 cups per day The puppy will eat .75 cups of food a day for 14 days for a total of .75*14 =<<.75*14=10.5>>10.5 cups The puppy will then eat `.5 cup of food twice a day so .5*2 = <<.5*2=1>>1 cup per day The puppy will eat 1 cup of food a day for 14 days for a total of 1*14 = <<1*14=14>>14 cups per day She has already fed him .5 cup of food and he will eat 10.5 cups and another 14 cups for a total of .5+10.5+14 = <<.5+10.5+14=25>>25 cups of food #### 25
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Haylee has 3 dozen guppies in her aquarium. Jose has half as many guppies as Haylee in his tank. Charliz has one-third of what Jose has in his tank. Nicolai has 4 times as many guppies as Charliz in his pond. How many guppies do the four friends have altogether?
Haylee has 3 x 12 = <<3*12=36>>36 guppies. Jose has 36 / 2 = <<36/2=18>>18 guppies. Charliz has 18 / 3 = <<18/3=6>>6 guppies. Nicolai has 6 x 4 = <<6*4=24>>24 guppies. Altogether, the four friends have 36 + 18 + 6 + 24 = <<36+18+6+24=84>>84 guppies. #### 84
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Jefferson has 56 bananas, while Walter, his friend, has 1/4 times fewer bananas. If they decide to combine their bananas and share them equally between themselves, how many bananas does Walter get?
Walter has 1/4 * 56 bananas = <<1/4*56=14>>14 fewer bananas. If Jefferson has 56 bananas, then Walter has 56 bananas - 14 bananas = <<56-14=42>>42 bananas When they combine their bananas, they have a total of 42 bananas + 56 bananas = <<42+56=98>>98 bananas. After dividing the bananas equally, Walter gets 98 bananas/2 = <<98/2=49>>49 bananas #### 49
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Amanda has taken 4 quizzes this semester and averaged a 92% score on them. The final quiz is coming up, which is worth the same as each previous quiz. What score does she need in order to get an A in the class, which requires her to average 93% over the 5 quizzes?
Amanda's total number of points from the first 4 quizzes is 368 because 4 x 92 = <<4*92=368>>368 She needs a total of 465 points because 5 x 93 = <<5*93=465>>465 She needs to score a 97 on the final quiz because 465 - 368 = <<465-368=97>>97 #### 97
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Zara bought 24 cows, 7 sheep, and some goats. Next week, she will transport all of them to a new farm in 3 equally-sized groups of 48 animals per group. How many goats does she own?
Zara will transport a total of 3 * 48 = <<3*48=144>>144 animals. The known number of animals is 24 + 7 = <<24+7=31>>31 cows and sheep. Zara therefore has 144 - 31 = <<144-31=113>>113 goats. #### 113
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Mark has an egg farm. His farm supplies one store with 5 dozen eggs and another store with 30 eggs each day. How many eggs does he supply these two stores in a week?
Since a dozen is equal to 12, then Mark's egg farm supplies one store with 5 x 12 = <<5*12=60>>60 eggs each day. It supplies the two stores with a total of 60 + 30 = <<60+30=90>>90 eggs each day. Therefore, the egg farm supplies the two stores with 90 x 7 = <<90*7=630>>630 eggs in a week. #### 630
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James buys 10 shirts and half as many pants. The shirts cost $6 each and the pants cost $8 each. How much did everything cost?
He bought 10/2=<<10/2=5>>5 pants The shirts cost a total of 10*6=$<<10*6=60>>60 The pants cost 8*5=$<<8*5=40>>40 So the total cost was 60+40=$<<60+40=100>>100 #### 100
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Will's mom gave him $74 to go shopping. He bought a sweater for $9, a T-shirt for $11 and a pair of shoes for $30. He then returned his shoes for a 90% refund. How much money does Will have left?
Will paid $30 for his shoes but then returned them and got 90% of the money back, so he lost 10% of the money, which means 10/100 * $30 = $<<10/100*30=3>>3 is gone. Will spent $9 + $11 + $3 = $<<9+11+3=23>>23. Will started with $74 - $23 that he spent = $<<74-23=51>>51 remaining. #### 51
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The Ravenswood forest has four times as many gnomes as the Westerville woods. If there are 20 gnomes in Westerville woods, how many gnomes would remain in Ravenswood forest if 40% of the gnomes are taken for use by the forest owner?
If there 20 gnomes in Westerville woods, the Ravenswood forest has 4*20=<<20*4=80>>80 gnomes. If 40% of gnomes in the Ravenswood forest are taken for use by the owner of the forest, the number of gnomes will reduce by 40/100*80=<<40/100*80=32>>32 The number of gnomes that will remain is 80-32=<<80-32=48>>48 #### 48
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An animal shelter is having a pet adoption event where owners can adopt an animal for just the cost of the vet fees. Vet fees for dogs are $15, and vet fees for cats are $13. Eight families adopt dogs and three adopt cats. The vet donates a third of the fees they were paid for the adoption checkups back to the shelter. How many dollars did the vet donate?
The vet made 8 * 15 = $<<8*15=120>>120 in dog vet fees. The vet made 3 * 13 = $<<3*13=39>>39 in cat vet fees. The total vet fees were 120 + 39 = $<<120+39=159>>159. The vet donated 1/3 of the fees, so they donated 159 / 3 = $<<159/3=53>>53 back to the shelter. #### 53
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There are 30 spaces for each vehicle in a parking lot. A caravan takes up a total of 2 spaces of parking space. How many vehicles can still park if there are 3 caravans currently parking?
The three caravans used up 3x2= <<3*2=6>>6 parking spaces in the parking lot. Therefore, 30-6= <<30-6=24>>24 vehicles can still park in the parking lot. #### 24
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Tiffany is going to the beach and wants to make sure she has enough sunscreen. She knows she needs to re-apply sunscreen after 2 hours. She also knows she needs 3 ounces of sunscreen each application and a bottle contain 12 ounces and costs $3.5. If she is there for 16 hours, how much will the sunscreen cost?
She needs to apply sunscreen 8 times because 16 / 2 = <<16/2=8>>8 She will use 24 ounces of sunscreen because 3 x 8 = <<3*8=24>>24 This will take 2 bottles because 24 / 12 = <<24/12=2>>2 This will cost $7 because 2 x 3.5 = <<2*3.5=7>>7 #### 7
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For the family reunion, Peter is buying 16 pounds of bone-in chicken and half that amount in hamburgers. He's going to buy 2 more pounds of hot dogs than hamburgers. He's also going to buy several sides that will weigh half the amount of hot dogs. How many pounds of food will he buy?
He is buying 16 pounds of chicken and half that amount in hamburgers so he's buying 16/2 = <<16/2=8>>8 pounds of hamburgers He's going to buy 2 more pounds of hotdogs than hamburgers, which are 8 pounds so he'll have 2+8 = <<2+8=10>>10 pounds of hot dogs He's going to buy sides that weigh half the amount of the hot dogs so that's 10/2 = <<10/2=5>>5 pounds of sides He's buying 16 pounds of chicken, 8 pounds of hamburgers, 10 pounds of hot dogs and 5 pounds of sides for a total of 16+8+10+5 = <<16+8+10+5=39>>39 pounds of food #### 39
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Betty has 3 red beads for every 2 blue beads that she has. How many blue beads does Betty have if she has 30 red beads?
Betty has 30/3 = <<30/3=10>>10 sets of 3 red beads. So, she has 10 x 2 = <<10*2=20>>20 blue beads. #### 20
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Travis wants to fly to Australia. The regular tickets cost about $2000. As Travis is a student, he will get a 30% discount on this price. How much does he need to pay for his ticket?
The discount on the ticket is 30/100 * $2000 = $<<30/100*2000=600>>600. So Travis needs to pay $2000 - $600 = $<<2000-600=1400>>1400. #### 1400
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Candice buys all the bread she and her family needs for the week from a local bakery. She needs 2 loaves of white bread for sandwiches that cost $3.50 each. She also needs a baguette that costs $1.50 and 2 loaves of sourdough bread that cost $4.50 each. She also treats herself to a $2.00 almond croissant each visit. How much does Candice spend at the bakery over 4 weeks?
2 loaves of white bread are $3.50 each so they cost 2*3.50 = $<<2*3.50=7.00>>7.00 2 loaves of sourdough bread are $4.50 each so they cost 2*4.50 = $<<2*4.50=9.00>>9.00 The white bread comes to $7.00, the sourdough is $9.00 and she gets a baguette for $1.50 and a croissant for $2.00 so she spends 7+9+1+2 = $19.50 per week If she buys this same order of $19.50 every week for 4 weeks then she spends 19.50*4 = $<<19.50*4=78.00>>78.00 over 4 weeks #### 78
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Palmer loves taking photos and has an album of 100 photos under her bed to mark memories of places she's been. She recently went on a long trip to Bali. Palmer took 50 new pictures in the first week and twice that many in the second week. She was running out of space at the end of her trip and took only 80 new photos total across the third and fourth weeks. If she adds the pictures from Bali to her collection, how many total photos does Palmer have under her bed now?
While in Bali, Palmer took 50 pictures in the first week and thus 2 * 50 photos = <<50*2=100>>100 photos in the second week. The total number of photos she took in Bali is 50 photos on the first week + 100 photos on the second week + 130 photos = <<50+100+130=280>>280 photos. When she adds the photos she from Bali to her album, Palmer has a total of 280 +100 = <<280+100=380>>380 photos. #### 380
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Josiah puts a quarter in his piggy bank every day for 24 days. Leah saves 50 cents in an empty pickle jar every day for 20 days. Megan saves twice as much as Leah for 12 days. How much do the three children save together?
Josiah saves 0.25 x 24= $<<0.25*24=6>>6. Leah saves 0.50 x 20 = $<<0.50*20=10>>10. Megan saves $1 x 12 = $<<1*12=12>>12. Together, the children save $6 + $10 + $12 = $<<6+10+12=28>>28. #### 28
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Jay bought a book for $25, a pen for $4, and a ruler for $1. He paid with a fifty-dollar bill. How much change, in dollars, did Jay get?
Jay spent 25+4+1=<<25+4+1=30>>30 dollars. He received 50-30=<<50-30=20>>20 dollars in change. #### 20
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There are 35 books on the cart. There are five fiction books, 4 more non-fiction books than fiction books, 2 times as many autobiographies as fiction books, and the rest picture books. How many books were picture books?
There are 5+4 = <<5+4=9>>9 non-fiction books on the cart. There are 2*5 = <<2*5=10>>10 autobiographies on the cart. There are 5+9+10 = <<5+9+10=24>>24 fiction, non-fiction, and autobiography books on the cart. There are 35-24 = <<35-24=11>>11 picture books on the cart. #### 11
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Apples used to cost $1.6 per pound. The price got raised 25%. How much does it cost to buy 2 pounds of apples for each person in a 4 member family?
The price increase raised the price by 1.6*.25=$<<1.6*.25=.4>>.4 So each pound of apples cost 1.6+.4=$2 2*4=<<2*4=8>>8 pounds of apples are bought So the apples cost 8*2=$<<8*2=16>>16 #### 16
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Jonathan enjoys walking and running for exercise, and he has three different exercise routines. On Mondays, he walks at 2 miles per hour. On Wednesdays, he walks at 3 miles per hour. And on Fridays, he runs at 6 miles per hour. On each exercise day, he travels 6 miles. What is the combined total time, in hours, he spends exercising in a week?
On Mondays, he walks 6 miles at 2 miles per hour, for a length of 6/2=<<6/2=3>>3 hours. On Wednesdays, he walks 6 miles at 3 miles per hour, for a length of 6/3=<<6/3=2>>2 hours. And on Fridays, he runs 6 miles at 6 miles per hour, for a length of 6/6=<<6/6=1>>1 hour. The combined total time he spends exercising in a week is 3+2+1=<<3+2+1=6>>6 hours. #### 6
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Greta worked 40 hours and was paid $12 per hour. Her friend Lisa earned $15 per hour at her job. How many hours would Lisa have to work to equal Greta's earnings for 40 hours?
For the 40 hours worked, Greta earned a total of 40 * 12 = $<<40*12=480>>480. To find how many hours Lisa has to work to earn $480, we divide 480 / 15 = <<480/15=32>>32 #### 32
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Cindy has 37 envelopes. If Cindy gives 3 envelopes to each of her 5 friends, how many envelopes does she have left?
Cindy gave 3 envelopes/friend x 5 friends = <<3*5=15>>15 envelopes to her friends. Cindy has 37 envelopes - 15 envelopes = <<37-15=22>>22 envelopes left. #### 22
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The dog toys Samantha buys for her dog are "buy one get one half off" and all cost $12.00 each. She buys 4 toys. How much does she spend on dog toys?
If she buys 1 toy at $12.00 she gets the 2nd toy 1/2 off, the 2nd toy is 12*.5 = $<<12*.5=6.00>>6.00 1 full-priced toy is $12.00 and 1/2 priced toy is $6.00 so these 2 toys come to 12+6 = $<<12+6=18.00>>18.00 She buys 2 more toys that are "buy one get one 1/2 off" so all total she spends 2*18 = $<<2*18=36.00>>36.00 #### 36
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Todd borrowed $100 from his brother to start a snow-cone stand. He has to repay him $110 as soon as he can. Todd spent $75 on ingredients for the snow cones. He sells 200 of them for $.75 each. After he pays back his brother, how much money does Todd have?
Todd has $25 left after buying ingredients because 100 - 75 = <<100-75=25>>25 Todd made $150 selling snow-cones because 200 x .75 = <<200*.75=150>>150 Todd has $175 before he pays his brother back because 25 + 150 = <<25+150=175>>175 After Todd pays his brother back he has $65 because 175 - 110 = <<175-110=65>>65 #### 65
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Ariana heard the news that a new grocery store had opened up in their town, so she decided to buy some flowers for her house. She bought a bunch of 40 flowers, 2/5 of which were roses, 10 were tulips, and the rest were carnations. How many carnations did she buy?
The number of roses in the bunch is 2/5 * 40 flowers = <<2/5*40=16>>16 flowers The total number of roses and tulips is 16 flowers + 10 flowers = <<16+10=26>>26 flowers There were 40 flowers - 26 flowers = <<40-26=14>>14 carnations #### 14
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At a coffee shop, 7 customers order coffee at $5 each and 8 customers order tea at $4 each. How much money did the coffee shop make?
Sale from coffee is 7 x $5 = $<<7*5=35>>35. Sale from tea is 8 x $4 = $<<8*4=32>>32. Total sales is $35 + $32 = $<<35+32=67>>67. #### 67
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Lex is picking apples in his apple orchard when he notices some of the apples have bruises and some have worms. He wants to save the bruised apples to make applesauce, throw the wormy apples away, and keep the unbruised apples to eat raw. By his count, a fifth of the apples have worms and nine more than one fifth are bruised. He picked 85 apples. How many apples will he have left to eat raw?
A fifth of the apples have worms, so Lex has to throw 85 / 5 = <<85/5=17>>17 apples away. Nine more have bruises than worms, so Lex has 17 + 9 = <<17+9=26>>26 apples for applesauce. He picked 85 apples, so Lex has 85 - 26 - 17 = <<85-26-17=42>>42 apples left to eat raw. #### 42
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Trent walked 4 blocks from his house to the bus stop. He rode the bus 7 blocks to the library. Later, he came home the same way. How many blocks did Trent travel in all?
On the way to the library, Trent went 4 blocks + 7 blocks = <<4+7=11>>11 blocks. Trent came home the same way so he went 11 blocks + 11 blocks = <<11+11=22>>22 blocks. #### 22
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Anne is drawing pictures. She has 12 markers and she notices that each one lasts for about 1.5 drawings. If she has already made 8 drawings, how many more can she make before she runs out of markers?
She can make 18 drawings in total because 12 x 1.5 = <<12*1.5=18>>18 She can make ten more because 18 - 8 = <<18-8=10>>10 #### 10
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Aubree saw 20 beavers and 40 chipmunks by a tree when going to school and scared them away when they saw her. While coming back from school, she realized the number of beavers had doubled and the number of chipmunks had decreased by 10. What's the total number of animals she saw that day?
When going to school, she saw 40+20 = <<40+20=60>>60 animals. The number of beavers doubled to 20*2 = <<20*2=40>>40 beavers The number of chipmunks decreased to 40-10 = <<40-10=30>>30 chipmunks. The total number of animals she saw on that day is 30+40+60 = <<30+40+60=130>>130 animals #### 130
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Daniel buys a magazine costing $0.85 and a pencil costing $0.50. He pays with a coupon that gives him $0.35 off. How much does he spend?
Daniel buys both magazine and pencil for $0.85 + $0.50 = $<<0.85+0.5=1.35>>1.35. The coupon gives him a total cost of $1.35 - $0.35 = $<<1.35-0.35=1>>1. #### 1
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Ziggy is a club DJ. Typically, Ziggy gets 30 song requests every night. Half the songs requested are electropop. A third of that amount are requests for dance music. Five song requests are rock music, and song requests for oldies are three less in number than rock requests. Ziggy plays a DJ’s choice song half the number of times he plays an oldie. Ziggy also sometimes gets rap song requests. Typically, how many rap songs does Ziggy get requested every night?
Ziggy gets 30 / 2 = <<30/2=15>>15 electropop song requests every night. There are 15 / 3 = <<15/3=5>>5 dance song requests every night. There are 5 - 3 = <<5-3=2>>2 oldies requests every night. Ziggy plays DJ’s choice 2 / 2 = <<2/2=1>>1 time every night. Thus, Ziggy gets 30 - 15 - 5 - 5 - 2 - 1 = <<30-15-5-5-2-1=2>>2 rap songs requested every night. #### 2
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Youngsville had a population of 684 people. The town had a growth spurt and the population increased by 25% then they witnessed that 40% of the population moved away. What is the current population?
The town had 684 people then had a 25% growth spurt increasing the population by 684*.25 = 171 people The town had 684 people then they added 171 people bringing the population to 684+171 = <<684+171=855>>855 people There were 855 people and 40% moved away so it decreased by 855*.40 = 342 The population was 855 and 342 people moved away making the new population 855-342 = <<855-342=513>>513 people #### 513
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It takes Emmalyn and her research team, the Polar Bears, 30 minutes to fully navigate around a volcanic island. On Saturday, they decided to start off by rounding the island once. They then re-grouped and planned out the rest of their weekend research schedule. They completed 10 more round that day and then went home. When they came on Sunday, they were able to complete 15 rounds. Calculate the total time, in minutes, the Polar Bears spent circling the island over that weekend.
On the first day, they started off doing one round of 30 minutes. The team did ten more rounds on day one which took 10*30 = <<10*30=300>>300 minutes. The total time they took circumnavigating the land on the first day is 300+30 = <<300+30=330>>330 minutes. On the second day, they did 15 rounds, which took 30 minutes each, giving 15*30 = <<15*30=450>>450 minutes. The total number of rounds took 330+450 = <<330+450=780>>780 minutes. #### 780
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Lilly and Fiona are cleaning a room. Between them, it takes 8 hours to clean the room. A quarter of the time spent cleaning was by Lilly and Fiona was responsible for the rest of the cleaning. How long, in minutes, was Fiona cleaning?
Lilly cleaned for 8 hours / 4 = <<8/4=2>>2 hours. This means that Fiona was cleaning for 8 hours total cleaning – 2 hours Lilly’s cleaning = <<8-2=6>>6 hours. So in minutes, Fiona was cleaning for 6 hours * 60 minutes in an hour = <<6*60=360>>360 minutes. #### 360
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Daryl is loading crates at a warehouse and wants to make sure that they are not overloaded. Each crate can weigh up to 20kg and he has 15 crates he can fill. He has 4 bags of nails to load, each of which weighs 5kg; he has 12 bags of hammers, each of which weighs 5 kg; he also has 10 bags of wooden planks, each of which weighs 30kg and can be sub-divided. He realizes that he has too much to load and will have to leave some items out of the crates to meet the weight limit. In kg, how much is Daryl going to have to leave out of the crates?
Daryl can load up to 15 crates * 20kg per crate = <<15*20=300>>300kg. The nails weigh a total of 4 bags of nails * 5kg per bag of nails = <<4*5=20>>20kg. The hammers weigh a total of 12 bags of hammers * 5kg per bag of hammers = <<12*5=60>>60kg. The wooden planks weigh a total of 10 bags of wooden planks * 30kg per bag of wooden planks= <<10*30=300>>300kg. So in total, Daryl’s items weigh a total of 20kg nails + 60kg hammers + 300kg wooden planks = <<20+60+300=380>>380kg. He will therefore need to leave out 380kg in items – 300kg weight limit = <<380-300=80>>80kg. #### 80
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Julie started her own landscaping business. She charges $4 an hour for mowing lawns and $8 for pulling weeds. In September she mowed lawns for 25 hours and pulled weeds for 3 hours. If she worked the same number of hours in October, how much money did she earn in September and October?
She mowed lawns for 25 hours in September, so earned 25 * $4= $<<25*4=100>>100. She pulled weeds for 3 hours in September, so earned 3 * $8= $<<3*8=24>>24. She earned $100 + $24 = $<<100+24=124>>124 in September. Finally, for two months working the same hours she earned $124 * 2 = $<<124*2=248>>248. #### 248
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A store owner repacked his oils into 200 mL bottles. He was able to make 20 bottles. How many liters of oil did the store owner have?
Twenty bottles of oil is equal to 200 mL x 20 = <<20*200=4000>>4000 mL. Since 1 liter is equal to 1000 mL, then the store owner had 4000/1000 = <<4000/1000=4>>4 liters of oil. #### 4
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If 2 machines in a factory make 10 cell phones each minute, how many machines would it take to make 50 cell phones a minute?
First, we need to determine how many cell phones each machine makes per minute. We do this by performing 10/2= <<10/2=5>>5 cell phones each minute per machine. Next, we determine how many machines are needed in total by dividing the desired outcome of 50 by the rate of production of an individual machine, finding 50/5=<<50/5=10>>10 machines needed. #### 10
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Eunice spent $7500 on a used car, which is 25% less than the original price. What was the original price of the car?
The price $7500 is 100% - 25% = 75% of the original price. So, every 1% is equal to $7500/75% = $100. Hence, the original price is equal to $100/1% x 100% = $10000. #### 10000
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Jenny wants to sell some girl scout cookies and has the choice of two neighborhoods to visit. Neighborhood A has 10 homes which each will buy 2 boxes of cookies. Neighborhood B has 5 homes, each of which will buy 5 boxes of cookies. Assuming each box of cookies costs $2, how much will Jenny make at the better choice of the two neighborhoods?
First, we need to determine which neighborhood is the better choice by comparing the number of boxes sold. A has 10 houses which will buy 2 boxes each, meaning A will give Jenny 10*2=<<10*2=20>>20 box sales Neighborhood B has 5 homes which will each buy 5 boxes, meaning she will sell 5*5=<<5*5=25>>25 boxes by going to that neighborhood. Since 25>20, this means Jenny should choose neighborhood B. Since Jenny earns $2 per box sold, this means she will earn 25*2=<<25*2=50>>50 dollars by choosing neighborhood B. #### 50
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Tommy is looking at his change collection. He has 10 more dimes than pennies. He has twice as many nickels as dimes. He has 4 quarters. He has 10 times as many pennies as quarters. How many nickels does he have?
Tommy has 40 pennies because 10 x 4 = <<10*4=40>>40 Tommy has 50 dimes because 40 + 10 = <<40+10=50>>50 Tommy has 100 nickels because 50 x 2 = <<50*2=100>>100 #### 100
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Casey is pumping water out of her well. She can pump 3 gallons a minute. She has 4 rows of 15 corn plants each, and each plant needs half a gallon of water. She also has 10 pigs, which each need 4 gallons of water, and 20 ducks that each need a quarter of a gallon of water. How many minutes does Casey need to spend pumping water?
First find how many corn plants there are: 15 plants/row * 4 rows = <<15*4=60>>60 plants Then find how many gallons of water of the corn needs: 60 plants * 1/2 gallon/plant = <<60*1/2=30>>30 gallons Then find how many gallons of water the pigs need: 10 pigs * 4 gallons/pig = <<10*4=40>>40 gallons Then find how many gallons of water the ducks need: 20 ducks * 1/4 gallon/duck = <<20*1/4=5>>5 gallons Now add up all three quantities of water to find the total water needed: 5 gallons + 40 gallons + 30 gallons = <<5+40+30=75>>75 gallons Now divide the total water needed by Casey's pumping rate to find how long she spends pumping: 75 gallons / 3 gallons/minute = <<75/3=25>>25 minutes #### 25
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James hurts himself and decides to go to his primary care doctor. His primary care doctor charges $300 for the visit and James's insurance covers 80%. What is James's out-of-pocket cost?
The insurance covered 300*.8=$<<300*.8=240>>240 So he owed 300-240=$<<300-240=60>>60 #### 60
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A busy restaurant is counting how many customers they had during that Friday to try to predict how many they might get on Saturday. During breakfast, they had 73 customers. During lunch, they had 127 customers. During dinner, they had 87 customers. If they predict they'll get twice the amount of customers on Saturday as they had on Friday, how many customers do they predict they will get?
On Friday the restaurant had 73 customers for breakfast + 127 customers for lunch + 87 customers for dinner = <<73+127+87=287>>287 customers total on Friday. If they predict getting 2x the amount of customers on Saturday as on Friday, they will have 287 customers x 2 = <<287*2=574>>574 customers on Saturday. #### 574
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The faucet in Betsy's bathroom is broken. Every minute it drips about 10 times. What amount of water is wasted during one hour if each drop contains 0.05 mL?
Every minute, 10 * 0.05 = <<10*0.05=0.5>>0.5 mL of water are wasted. Every hour, 0.5 * 60 =<<0.5*60=30>>30 mL of water are wasted. #### 30
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To make fried green tomatoes, Thelma cuts each green tomato into 8 slices before cooking them up. If 20 slices of fried green tomato make a meal for a single person, how many tomatoes will Thelma need to make enough fried green tomatoes to feed a family of 8 for a single meal?
If 20 slices are sufficient for a meal to feed a single person, then to feed eight Thelma will need 8*20=<<20*8=160>>160 slices of tomato. At 8 slices per tomato, Thelma will need 160/8=<<160/8=20>>20 tomatoes to feed a family of 8. #### 20
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A dog runs through a field and is joined by a group of 4 cats. 2 rabbits join each cat and 3 hares join each rabbit. How many animals are running through the field?
A pair of rabbits join each cat so there must be 4 cats * 2 rabbits/cat = <<4*2=8>>8 rabbits. As 3 hares join each rabbit, there must be 8 rabbits * 3 hares/rabbit = <<8*3=24>>24 hares. Counting all the animals shows there are 1 dog + 4 cats + 8 rabbits + 24 hares = <<1+4+8+24=37>>37 animals running through the field. #### 37
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Yesterday Ryan got five books from the library. They were a total of 2100 pages. His brother got one book a day that was 200 pages each. They both finished them in a week. On average, how many more pages per day did Ryan read compared to his brother?
Ryan read an average of 300 pages a day because 2100 / 7 = <<2100/7=300>>300 He read 100 more pages a day on average than his brother because 300 - 200 = <<300-200=100>>100 #### 100
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Clyde's four children wanted to go see their favorite band perform. The tickets were expensive so Clyde made a deal with his kids. If the average of their scores on their next math test was higher than 89, then he would buy them tickets to the concert. June earned a 97 on her math test, Patty earned an 85, Josh earned a 100 on his test and Henry earned a 94. What was their average math test score?
Together, they scored 97+85+100+94 = <<97+85+100+94=376>>376 There are 4 children so their average math test score is 376/4 = <<376/4=94>>94 #### 94
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Tas and his friends put up a t-shirt for sale. They ended up selling 200 t-shirts in 25 minutes. Half of the shirts were black and cost $30, while the other half were white and cost $25. How much money did they make per minute during the sale?
The total revenue from black shirts was 100 * $30 = $<<100*30=3000>>3000. The total revenue from white shirts was 100 * $25 = $<<100*25=2500>>2500. The total revenue from all shirts sold was $3000 + $2500 = $<<3000+2500=5500>>5500. Tas and his friends ended up making $5500 / 25 minutes = $220 per minute. #### 220
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Hansel has a created album on Spotify that contains 25 songs and each song is 3 minutes long. If she adds 10 more songs to the album with the same duration, how many minutes will it take her to finish all the songs in the album?
There are 25 + 10 = <<25+10=35>>35 songs in the album. Therefore, it will take 35 x 3 = <<35*3=105>>105 minutes to play the songs in the album. #### 105
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In a shop, there is a sale of clothes. Every shirt costs $5, every hat $4, and a pair of jeans $10. How much do you need to pay for three shirts, two pairs of jeans, and four hats?
Three shirts cost 3 * 5 = $<<3*5=15>>15. Two pairs of jeans would cost 2 * 10 = $<<2*10=20>>20. Four hats would in total cost 4 * 4 = $<<4*4=16>>16. So for three shirts, two pairs of jeans, and four hats, you would need to pay 15 + 20 + 16 = $<<15+20+16=51>>51. #### 51
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Princess Daphne bought three necklaces and a set of earrings for a total of $240,000. If all three necklaces were equal in price, and the earrings were three times as expensive as any one necklace, then how expensive was the cost of a single necklace?
Let "x" be the price of a single necklace. Thus, the cost of the earrings would be 3x. And since all items totaled $240,000, then x+x+x+3x = $240,000 Therefore, this simplifies to 6x=240,000 And, solving for x we see that the price of a single necklace is x = $<<40000=40000>>40,000 #### 40,000
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It takes 3 ounces of wax to detail Kellan’s car and 4 ounces to detail his SUV. He bought an 11-ounce bottle of vehicle wax, but spilled 2 ounces before using it. How many ounces does he have left after waxing his car and SUV?
Kellan used 3 + 4 = <<3+4=7>>7 ounces of wax for his car and SUV. Since he spilled 2 ounces, he has 11 - 2 - 7 = <<11-2-7=2>>2 ounces of wax left. #### 2
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Harold's fancy wrapping paper can wrap 5 shirt boxes or 3 XL boxes. For the upcoming holiday, he has 20 shirt boxes to wrap and 12 XL boxes to wrap. If each roll of wrapping paper costs $4.00 per roll, how much will he spend to wrap all of the boxes?
1 roll can wrap 5 shirt boxes and he has 20 shirts boxes to wrap so he needs 20/5 = <<20/5=4>>4 rolls of wrap 1 roll can wrap 3 XL boxes and he has 12 XL boxes to wrap so he needs 12/3 = <<12/3=4>>4 rolls or wrap All total he needs 4+4 = <<4+4=8>>8 rolls of wrap Each roll costs $4.00 and he needs 8 rolls so it will cost him 4*8 = $<<4*8=32.00>>32.00 in wrapping paper #### 32
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Mark and Peter dug ponds in their backyards. Mark’s pond is 4 feet deeper than 3 times Peter’s pond. If Mark’s pond is 19 feet deep, what is the depth of Peter’s pond?
Let’s use p for the number of feet in Mark’s pond 3*p+4=19 3*p=19-4=15 3p=15 p=<<5=5>>5 #### 5
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Katie's mother wants to get granola bars for all the kids to eat after Katie's soccer game. There will be 30 kids playing soccer, including Katie. Katie's mother wants to get 2 granola bars for each kid, since the bars are not that big and she figures the kids will be very hungry. Each box of granola bars has 12 bars in it. How many boxes should Katie's mother buy?
There will be 30 kids playing soccer and 2 granola bars for each kid, 30 x 2 = <<30*2=60>>60 granola bars total. Each box of granola bars has 12 in it, so Katie's mother needs 60 granola bars / 12 bars each box = <<60/12=5>>5 boxes. #### 5
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Tony, Moses and Esther are to share $50. Moses will take 40% of the total amount while Tony and Esther will split the remainder equally among themselves. How much more than Esther will Moses get?
40% of $50 is (40/100)*$50 = $<<(40/100)*50=20>>20 After Moses takes $20, there will be $50-$20 = $<<50-20=30>>30 left Tony and Esther will split $30 equally among themselves so each of them will get $30/2 = $<<30/2=15>>15 Moses gets $20-$15 = $<<20-15=5>>5 more than Esther #### 5
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James streams on twitch. He had 150 subscribers and then someone gifted 50 subscribers. If he gets $9 a month per subscriber how much money does he make a month?
He now has 150+50=<<150+50=200>>200 subscribers So he makes 200*9=$<<200*9=1800>>1800 a month #### 1800
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Sally had 14 fries at lunch. Her friend Mark gave her one-third of his 36 fries at lunch. How many fries did Sally have for lunch after that?
Mark gave Sally 36/3=<<36/3=12>>12 fries After that Sally has 14+12=<<14+12=26>>26 fries #### 26
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There are 3 consecutive odd integers that have a sum of -147. What is the largest number?
Let N = smallest number N + 2 = next number N + 4 = largest number N + (N + 2) + (N + 4) = -147 3N + 6 = -147 3N = <<-153=-153>>-153 N = -51 The largest number is <<-47=-47>>-47. #### -47
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To raise funds for her local soup kitchen, Didi enlisted the help of her family, friends, and neighbors. They donated 10 same-size cakes that she sliced into 8 slices per cake and started selling a slice for $1. A local business owner was so impressed by Didi's efforts that she offered to donate 50 cents for each slice Didi sold. A second business owner also offered to donate a quarter for each slice sold. If Didi sold all the slices, how much money did she raise?
All the cakes yielded 10 * 8 = <<10*8=80>>80 slices Since Didi was selling each slice for $1, it means she sold everything for 80 * 1 = <<80*1=80>>80 dollars. The first business owner donated 50/100 * 80 = <<50/100*80=40>>40 dollars. The second business owner donated 25/100*80= <<25/100*80=20>>20 dollars Adding both amounts gives 80 + 40 + 20 = <<80+40+20=140>>140 dollars #### 140
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John can front squat 80% as much as he back squats. He used to back squat 200 kg but increased that by 50 kg. He can do a triple equal to 90% of the amount he front squats. How much weight will he move if he does three triples?
He increased his back squat to 200+50=<<200+50=250>>250 kg That means his front squat is 250*.8=<<250*.8=200>>200 kg So he can do a triple with 200*.9=<<200*.9=180>>180 kg So he moves 180*3 = <<180*3=540>>540 kg if he does three triples #### 540
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Ursula earns $8.50 an hour working in a restaurant. She works 8 hours a day. If she works 20 days a month, determine her annual salary.
Ursula earns 8 x $8.50 = $<<8*8.50=68>>68 a day. In a month, she earns 20 x $68 = $<<20*68=1360>>1360. Therefore, Ursula's annual salary is 12 x $1360 = $<<12*1360=16320>>16,320 #### 16320
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Two boxes for carrying oranges with a capacity of 80 and 50 were filled with 3/4 and 3/5 of the way full with oranges, respectively. Calculate the total number of oranges the boxes have together.
For the box with a capacity of 80, if it was 3/4 full with oranges, it had 3/4*80 = <<80*3/4=60>>60 oranges. The second box, with a capacity of 50, was 3/5 full with oranges, which totals 3/5*50 = <<3/5*50=30>>30 oranges. Together, the two boxes have 60+30 = <<60+30=90>>90 oranges #### 90
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Max watches a show every day that airs from 2:00 pm to 2:30 pm and only airs during weekdays. If he watches every episode during the week but misses the Friday episode, how many hours of the show did he watch?
The show runs from 2:00 pm to 2:30 pm so that is 30 minutes. From Monday to Thursday, he watched a total of 30 * 4 = <<30*4=120>>120 minutes. In hours, this is equal to 120 / 60 = <<120/60=2>>2 hours. #### 2
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The total number of employees in a company is 450, and each employee earns $2000 per month. If the company laid off 1/3 of its employees due to tough economic times, calculate the total amount of money the company paid to the remaining employees.
1/3 of the employees were laid off, that is 1/3*450 = <<450*1/3=150>>150 employees. There were 450-150 = <<450-150=300>>300 employees remaining. If the company was paying each person $2000, the total amount of money paid to the remaining employees is 300*2000 = $<<300*2000=600000>>600000. #### 600000
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Gilbert, the bearded dragon, eats 4 crickets per week when the temperature averages 90 degrees F per day, but he eats twice as many crickets per week when the temperature averages 100 degrees F. How many crickets will he eat over 15 weeks if the temperature averages 90 degrees F for 80% of the time, and 100 degrees F for the remainder of the time?
It will be 90 degrees for 80% of the 15 weeks, for a total of 0.8*15=12 weeks. It will be 100 degrees F for the remainder of the 15 weeks, or 15-12=<<15-12=3>>3 weeks. During the 12 weeks when it averages 90 degrees F, he will eat 4 crickets per week for a total of 12*4=<<12*4=48>>48 crickets. When it averages 100 degrees F, he eats twice as many crickets per week as when it averages 90 degrees F per week, for a total of 2*4=8 crickets per week. During these 3 weeks, he will eat 8*3=<<8*3=24>>24 crickets. Therefore, over the 15 weeks, he will eat a total of 48+24=<<48+24=72>>72 crickets. #### 72
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Lidia bought a new tablet, and she needs to buy some apps for it. One app costs $4 on average, and Lidia needs 15 of them. She has $66 for this purpose. How much money will she be left with if she buys all the apps she needs?
So Lidia will spend 4 * 15 = $<<4*15=60>>60 on apps. She already has $66, so she will be left with 66 - 60 = $<<66-60=6>>6. #### 6
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In a fruit salad, there are raspberries, green grapes, and red grapes. There are seven more than 3 times the number of red grapes as green grapes. There are 5 less raspberries than green grapes. If there are 102 pieces of fruit in the salad, how many red grapes are in the salad?
Green grapes = G Red grapes = 3G + 7 Raspberries = G - 5 G + 3G + 7 + G - 5 = 102 5G + 2 = 102 5G = 100 G = <<20=20>>20 3 * 20 + 7 = <<3*20+7=67>>67 There are 67 red grapes. #### 67
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Milly is figuring out how long she needs to spend studying. She knows that her math homework will take 60 minutes. Her geography homework will take half as long as her math homework, and her science homework will take time equal to the mean amount of time she spent studying math and geography. How many minutes does Milly spend studying?
First find how long Milly spends studying geography by dividing her math homework time by 2: 60 minutes / 2 = <<60/2=30>>30 minutes. Now find the total amount of time Milly spent on math and geography: 30 minutes + 60 minutes = <<30+60=90>>90 minutes. Now calculate the mean amount of time Milly spends on math and geography by dividing the total time spent by the number of subjects, which is 2: 90 minutes / 2 = <<90/2=45>>45 minutes. Now add the time Milly spent on all three subjects to find the total: 45 minutes + 30 minutes + 60 minutes = <<45+30+60=135>>135 minutes. #### 135
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Marion’s bike cost $356. Stephanie’s bike is worth twice as much. What is the total price of their bikes?
Stephanie's bike costs $356 * 2 = $<<356*2=712>>712. So, their bikes cost $356 + $712 = $<<356+712=1068>>1068 in total. #### 1068
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