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english_AAAI_Math

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bb60d9d026a3416baa2d8cced7ed7efa

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short_answer

Danny read $$20$$ pages of a storybook on the first day. On the second day, the number of pages he read increased by $$5$$. The number of pages he read on the third day was $$5$$ more than that of the second day, and so on. If he read the remaining $$80$$ pages of the storybook on the last day, how many pages were there in the storybook?

2089b724a45c4ed988606f4860fbeb30

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short_answer

Mother bought $\frac49$kg of almonds and $\frac13$kg of cashew nuts. How much more almonds than cashew nuts did she buy?

0dc187974a4f4bdc885566505c9ca033

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short_answer

Johnny is working on his math homework. ~\uline{~~~~~~~~~~}~$$\div $$ $4$ = $9$ R $2$ The following is his solution: $9\times2$ = $18$ $18+4=22$ Answer = $22$ Is his answer correct? If not, circle out his error and write out the correct working.

05e8386eec1a4686bcceefeeec0da532

3

short_answer

Calculate: $54+52-50+48-46+\cdots+4-2=$

33806102632247718f0ca6cc3c4ae3cd

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short_answer

A number gives a remainder of $$3$$ when divided by $$6$$, a remainder of $$4$$ when divided by $$7$$, and a remainder of $$1$$ when divided by $$8$$. What is the smallest number?

97ff1c826b9449ebba306715644e00d7

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short_answer

In the following, all the different letters stand for different digits. What is the value of the $5$-digit number $SASMO$? $SASMO \times 4 = OGAMS$

5f83a7f525c2424e93dbfaca3c6f9265

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short_answer

In a donation drive, a class of $$40$$ boys and girls helped to distribute some food items. Each boy distributed $$4$$ bags while each girl distributed $$3$$ bags. The boys distributed $$62$$ more bags than the girls. How many boys were there?

d8f72795c5214d67bdae537f6f2294cc

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short_answer

There is a number sequence: $1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5\cdots $ According to the pattern, what is the median of all the numbers in the sequence before the first $11$ appears?

9764b7f8732540ffab94bb9e73235bfc

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short_answer

There are two ropes, rope A and rope B. Rope A is $$65$$ metres long and Rope B is $$29$$ metres long. After Noa cuts an equal part from both rope A and rope B, the length of rope A is $$3$$ times that of rope B. What is the length of the part that has been cut from rope A and rope B?

58b52e2f938546e89e5a64e5f2bf4334

1

short_answer

Rehema rolls a fair die $$30$$ times. How many times should she expect to get a $$5$$?

645b71623d4d4b11a64007d32b21db61

1

short_answer

$$345 \times ~4 =$$

627fc9344fb748cca98e15cf87d2083a

1

short_answer

$15 \div 0.05 =$

4f46c32b143a401aafbf4d6ead565a65

0

short_answer

Find the value of □: $\frac{{12}}{{18}} = \frac{□}{6} $，□=~\uline{~~~~~~~~~~}~.

8cc478711c8f4086b30df7455059147a

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short_answer

It is given that $A:B=2:3$ and $B:C=6:5$. The average of $A$, $B$ and $C$ is $45$. Find $B$.

8cf1dcd99c234fe3bed14598d82e6dbf

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short_answer

Minnie bought $6$ dresses that cost $ $7x$ each. She then bought $3$ skirts for $ $35$ each. If she spent a total of $ $441$, how much did a dress cost? $ $$~\uline{~~~~~~~~~~}~

a9763e974eea446e92026fb8477bfbd4

2

short_answer

How many $3$ digit numbers are there where all $3$ digits are odd?

60f6f205ec4c40bb89204475765d9532

1

short_answer

$$5\times7 \times 8 =$$

aa5f85b2df7440f382a1edca655a0195

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short_answer

Study the flowing pattern: $$\dfrac{1}{1 \times 2}= \dfrac{1}{2}$$ $$\dfrac{1}{1 \times 2}+ \dfrac{1}{2 \times 3}= \dfrac{2}{3}$$ $$\dfrac{1}{1 \times 2}+ \dfrac{1}{2 \times 3}+ \dfrac{1}{3 \times 4}= \dfrac{3}{4}$$ $$\dfrac{1}{1 \times 2}+ \dfrac{1}{2 \times 3}+ \dfrac{1}{3 \times 4}+ \dfrac{1}{4 \times 5}= \dfrac{4}{5}$$ $$\dfrac{1}{1 \times 2}+ \dfrac{1}{2 \times 3}+ \dfrac{1}{3 \times 4}+ \dfrac{1}{4 \times 5}+ \dfrac{1}{5 \times 6}= \dfrac{5}{6}$$ Given that $$\dfrac{1}{1 \times 2}+ \dfrac{1}{2 \times 3}+ \dfrac{1}{3 \times 4}+ \cdots + \dfrac{1}{2011 \times 2012}= \dfrac{k}{k+2}$$ where $$k$$ is a positive number, find the value of $$k$$

7d339ab0e49d487d82f990bb57b18e62

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short_answer

It takes two decorators 8 days to paint a house. One is lazy and one is energetic. The energetic one could paint the house in $$12$$ days on his own. How many days would it take the lazy one to paint the house on his own?

bc1425cad1954c489bb66ff166a40ad5

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short_answer

Find the remainder of $${{1}^{2}}+{{3}^{2}}+{{5}^{2}}+\cdots +{{997}^{2}}+{{999}^{2}}$$ divided by $$3$$.

d1aea7f5923c41419c0a7f013a821868

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short_answer

If you increase the length of a rectangle by $12\rm{cm}$, you will get a rectangle with a perimeter of $38\rm{cm}$. What is the perimeter of the original rectangle?

b3933f96a6f64df2937f9504f73d4f93

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short_answer

Nell and Joe shared some sweets in the ratio $$4:5$$. Nell received $$24$$ sweets. How many sweets were there altogether?

46886e982cd848a7abf837e5973c5ae7

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short_answer

There are $270$ baby chickens on a farm. The number of hens on the farm is $\dfrac{8}{9}$~of the baby chickens, and the number of roosters is $\dfrac{1}{4}$~of the number of hens. How many roosters are there on the farm?

5c4786655fca473fb242916467fa9779

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short_answer

Lily gave coins to students who performed well in class. The $1$\textsuperscript{st} student got $2$ coins, the $2$\textsuperscript{nd} student got $6$ coins, the $3$\textsuperscript{rd} student got $10$ coins, the $4$\textsuperscript{th} student got $14$ coins, and so on. Given that the coins won by the students formed an arithmetic sequence, find the number of coins won by the $11$\textsuperscript{th} student.

1af1519ce39648a5a5a614d850ea16ee

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short_answer

Jamie-Anne and Natasha both collect stamps. The ratio of the number of stamps is $5:3$. If Jamie-Anne has $18$ more stamps than Natasha, how many stamps do they have in total?

7fafcabd4a364cf7a536efe02bf4be6e

1

short_answer

If $$\overline{ab}+ \overline{ba}+b= \overline{aab}$$, find $$a+b$$.

563e040a6b604c99be6f021744a72867

1

short_answer

Sana and Mina had $$234$$ coins in total at first. Sana had $$8$$ times as many coins as Mina. Mina then gave away $$12$$ coins. How many coins did Mina have left in the end?

61a8f774aec24308b2fbbb6d4c4052db

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short_answer

Yasmin had $$210\rm kg$$ of grapes. She sold $$\frac37$$ of the grapes on Monday and $$\frac38$$ of the remainder on Tuesday.~ She packed the remaining into small bag containing $$\frac34\rm kg$$ of grapes.~ How many small bags of grapes did Yasmin pack?

6c63ea0de1a8415980442a6c8569fc9d

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short_answer

Miss Morris prepared 142g flour for each of her 123 students in cookery class. Find out the total amount of flour that she prepared.

2f8eea7d70d643d9a9a6d7959dcc5596

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short_answer

Given an arithmetic sequence: ``$$81$$，$$75$$，$$69$$，$$63$$\ldots''. Find the $${{11}^{\text{th}}}$$ term of the sequence.

e01a60afedfc47728af6bf6cd42afab2

1

short_answer

What percentage is $$15\text{p}$$ out of £$$3.00$$?

a2b6115aec834dc68138160027844aaa

0

short_answer

How many times does the digit \textquotesingle$$7$$\textquotesingle{} appear in the page numbers of a book that is $$120$$ pages thick?

53cbd8fd0f77499fb24e88ab3dcaacba

1

short_answer

It takes Uncle Sam $$50$$ seconds to cycle from the first lamp post to the eleventh lamp post. How many lamp posts will he cycle past after $$80$$ seconds?

8626a5ac5cd849a99b266ae11eb763c0

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short_answer

Jill is sewing a handkerchief. She wants to embroider every side of the handkerchief with $$6$$ flowers. A flower is embroidered at each of the four corners. How many flowers are there on the handkerchief altogether? Jill made the following calculations: $6 \times 4$ = $24$ Hence, she prepared $24$ flowers. Is she correct? If not, how many flowers is sewn on?

89b9c39288374835a4dd1f8d8af530fd

1

short_answer

Rena bought some items at a grocery store. $$\frac{2}{3}$$ of them were apples, $$\frac{1}{9}$$ of them were bananas and the rest were lemons. She bought $$12$$ more apples than lemons. How many lemons did Rena buy?

7cec8a1b08d943669b99d263f87e4fa6

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short_answer

A pair of shoes is selling for $$80$$ dollars, which is $$20$$ dollars lower than the original price. What is the percent of the discount？

2b8a88ca5fe7429ea82c73c3b8990e1b

1

short_answer

I am thinking of a $$5$$-digit number between $$40000$$ and $$50000$$. The digit in the hundreds place has a value of $$800$$. The digit in the ones place is the sum of all the factors of $$4$$. The digit in the thousands place is $1$ more than the digit in the hundreds place. The digit in the tens place is the difference between the digit in the hundreds place and the digit in the ones place. What number am I thinking of?~\uline{~~~~~~~~~~}~

44e8dcc102494f3192e7ebf223ca7d90

1

short_answer

$6 -18 =$

9eb437e49efd42d88c006e74f9099f07

1

short_answer

At Windy Valley Primary School, the basketball court is $$25$$ $$\text{m}$$ long. The football field is $$56$$ $$\text{m}$$ longer than the basketball court. What is the length of the football field? The length of the football field is~\uline{~~~~~~~~~~}~$$\text{m}$$.

7c04260dcb0743288f345e79968829c7

1

short_answer

Rina bought a handbag for $$$60$$ at a discount of $$20 \%$$. Ana paid $$$67.50$$ for an identical handbag. What was the discount given to Ana?

3fe7176a573649c389081f702880fe81

2

short_answer

Given that $r$ and $s$ are whole numbers such that $$\frac{3}{10}\textless{} \frac{r}{s}\textless{} \frac{5}{16}$$, find the smallest value of $s$.

f21830983a5f48e28095fe2ece3c5a85

1

short_answer

Mr. Lawson is making some steering wheels in an automobile factory. He made $300$ steering wheels on the first day, and $250$ on the second day. If the total of the first two days is $\dfrac{5}{6}$~of the total amount of steering wheels made, how many steering wheels did Mr. Lawson make in total?

aa03a281d4d94018a0064e56c41ee496

1

short_answer

Subtract $$0.02$$ from $$1.3$$.

278081b797fb4ba488225b7671c17347

1

short_answer

Find the value of x : $$12x-(7x+9)=1$$．

439fae9a23bb4288adfdb67093fcdb41

1

short_answer

A bus can carry either $$40$$ children or $$24$$ adults when it is completely full of people. If there are already $$15$$ children on the bus, what is the greatest number of adults that could be on the same bus?~\uline{~~~~~~~~~~}~

485363fa5d114e10aa5193dda256cebb

2

short_answer

A whole number multiplied by itself will give a special type of numbers called perfect squares. Examples of perfect squares are 9= 3\times 3~ and~ 16= 4\times 4. What is the smallest number that can be multiplied by 28 to give a perfect square?

15ed9cc3ded941faafa1ff286a405f77

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short_answer

(Maths Olympiad 《Simple Speed》 Pr$$1$$\&$$2$$ Question \#$$9$$） Auntie Lina takes $$3$$ minutes to cook $$2$$ pancakes. How many pancakes can she cook in $$12$$ minutes?

9b046c316f30464f8998d4a3f5a6db6b

0

short_answer

Find $x$: $$4-x=5x-8$$．

64da3536e459433ea4a1e1ffe0974428

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short_answer

$$35$$ students are either wearing L, M or S size uniforms. At least how many students are wearing the same size of uniforms?

f7fa4272e23e482598b3fd2264f07a29

1

short_answer

If $$a\triangle b=(a+2)\div b$$, what is the value of $$8\triangle (6\triangle 4)$$?

d0e55b24b2d94a99a067394ed0971714

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short_answer

Mr Krishnan spent $$$740$$ of his monthly salary on a DVD player and~$\tfrac{3}{4}$~of the remaining money on a television set. If he had~$\tfrac{1}{5}$~of his salary left, how much was his salary for the month?

78cc1f0029db4e2baf026af900879af7

2

short_answer

In $$32$$ years time, Russell will be $$4$$ times as old as himself $$16$$ years ago. How old is Russell now?

bdd4de642a694795bd55c992b23b3398

1

short_answer

What is $40 \%$ of $120$?

18b8daa61603447d8022fd9b8bc02b69

1

short_answer

In a game, a number of people stand evenly spaced in a circle. Each person is given a number $$1$$, $$2$$, $$3$$, $$\cdots \cdots$$ Number $$6$$ stands directly opposite number $$19$$. How many people are playing the game? ~\uline{~~~~~~~~~~}~people

f7751c2233f24b7d9dbfbe6d168ddef9

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short_answer

Pip writes down a four-digit number $ABCA$. In Pip\textquotesingle s number, the thousands digit is same as the units digit. Bud reverses the units digit and the tens digit of it and gets a new number. Pip\textquotesingle s number and Bud\textquotesingle s number add up to $5510$. What is Pip\textquotesingle s number?

fd624218613f48f49c62fe0c615eab9a

1

short_answer

The number of students in Class $6A$ was $\frac{4}{9}$ the number of students in Class $6B$. After some reshuffling, the number of students in both classes are now equal. It was known that $3$ students went from Class $6A$ to Class $6B$ and $18$ students went from Class $6B$ to Class $6A$. Determine the total number of students in Class $6A$ at first.

311137556c874d4bb13b99f9b5117222

2

short_answer

A man takes $$2 $$ minutes to cut a metal rod up into two pieces. How many minutes will he take to cut a metal rod of the same length into $$5$$ pieces?

0574b4ea3bce459692a79ced3c88cee6

0

short_answer

At Springfield Elementary School, a shelf contains either $$4$$ math books or $$9$$ spelling books. On $$15$$ shelves at Springfield Elementary School, there are $$72$$ spelling books and some number of math books. All $$15$$ shelves are full. How many math books are there on the shelves?

295414faedcc466dba1a6853455af3c4

0

short_answer

Jeffrey needs $$6$$ minutes to walk up the stairs from the first floor to the fourth floor at a constant speed. At this speed, how long does he need to walk up the stairs from the first floor to the tenth floor?

ec4f8ef8e4e24394bc6bbee281e961db

1

short_answer

My recipe for Chocolate Fridge Cake consists of $40\text{g}$~of chocolate and $100\text{g}$~of biscuits. If I only have~$75\text{g}$~of biscuits then how much melted chocolate will I have to use?

965c2ac5dad34d4fa1d38ad774207e9a

0

short_answer

$3 + 2\times5$

ca4820ab45754f35b7d59a04967d1276

1

short_answer

Better earns an average of £$90$ a day. Find the total amount she earns in a week if he works from Monday to Sunday.

f5f0fa861ee84ff5baf0932a2cdd79df

1

short_answer

Luna has $15$ flowers, and she has $3$ more flowers than Harry. How many flowers does Harry have?

065ea362f1f84acd909b64af10328dd1

1

short_answer

A pasta restaurant offers a menu that allows customers to choose from 2 types of pasta, $$3$$ types of sauces and 2 types of toppings. Kylie has to choose one pasta, one sauce and one topping. How many different combinations can she make?

1bee8ef3713140f195baa78f51579340

1

short_answer

$$n$$ is the number for which $$32\div n=n\div2$$. $$n=$$?

ed4d903eb27d49279a669eb29f697081

1

short_answer

Several students are standing evenly around a circle to play a game, and the $$8$$\textsuperscript{th}~student stand directly opposite to the $$16$$\textsuperscript{th} student. After the first game, more students join the game and everyone are still evenly spaced. Now, the $$8$$\textsuperscript{th}~students stand directly opposite to the $$22$$\textsuperscript{nd}~student. How many new students join the second game?

b096b994b81c439089e43a5964dae9ae

1

short_answer

At Think Olympics, Jack completes an $$800-$$meter race. He runs the first $$280$$ meters at a speed of $$7$$ meters per second, the middle $$400$$ meters at a speed of $$5$$ meters per second, and in the sprint stage, Jack runs at a speed of $$8$$ meters per second. Find the time Jack spends on the entire race (in seconds).

1ec6272d9b5f4fb681677cca4ba5a3ef

2

short_answer

Anna, Betsy and Charlene had a total of $$168$$ marbles. Charlene gave $$15$$ marbles to Betsy. Then, Betsy gave $$8$$ marbles to Anna. In the end, the ratio of the number of marbles that Anna had to the number of marbles that Betsy had to the number of marbles that Charlene had is $$2:5:7$$. How many marbles did Betsy have at first?

ea4fdc5ca1cf4568b300810db0eaa9e2

2

short_answer

Calculate：$$180-9-9-9-9-9-9-7-7-7-7-7-7$$．

4ceaa57063624f489d2a91560349d225

2

short_answer

There are $4$ same yellow cards, $3$ same red cards, and $7$ same green cards. Tom wants to put them in a line. How many different ways are there?

a49805b294c44372af6c664415044e6a

1

short_answer

The ratio of lollipops to gum drops was $$5:7$$. After adding $$120$$ pieces of candy of each kind, the ratio changed to $$4:5$$. How many pieces of candy are there in total now?

111ec186a6084484b7572731bc3bcb77

1

short_answer

A book has $$268$$ pages. How many digits are used to print the page numbers of the book?

6dff7252335c45c0a2fdec728a95565a

3

short_answer

A rectangular piece of white paper ~measures 1.36m by 0.8m. We need to cut it into squares of the same size and make the square area as large as possible, and there is no white paper left at the end. How many squares can we cut?（⭐⭐⭐⭐）

006665a313c24b1a92752af5e31bc16a

1

short_answer

How many ODD three digit numbers is it possible to make using the numbers $$4$$, $$5$$ and $$7$$ if you are allowed to use each of the numbers more than once in a particular three digit number?

b8665b34ac3a4d59aa8061f1eb6eec07

1

short_answer

$854 \times ~100$

22718af89a8243c19613574db590d256

2

short_answer

How many numbers that are less than $$201$$ can be divided exactly by $$5$$ or $$7$$, or both?

88c5dedae77f46f589b56a149633c09c

1

short_answer

Chris buys $$1$$ durian, $$2$$ pineapples and $$3$$ watermelons using $$$440$$. Dylan buys $$4$$ durians, $$6$$ pineapples and $$9$$ watermelons using $$$1625$$. How much does $$1$$ durian cost?

5cd17b7047fd44e184eb28205a77c263

2

short_answer

In a school table-tennis league each team plays each of the other teams \textbf{twice} during the year, once at home and once away. If there are $$30$$ matches in total during the season, how many teams are there in the table-tennis league?

4ea645a34f3a435db4d0fc57a7f2a099

1

short_answer

Calculate: $$100-99+98-97+96-95+\cdots +4-3+2-1$$

092c73eab03d47ef9afdbfaf1c46b4ee

2

short_answer

Vicky is doing a calculation but she forgets to write down the $$0$$ in the ones digit of a number. That number turns out to be $$135$$ smaller than its true value. What is the original value of that number?

f5082b520e464b9a9b6f7696942bc7de

1

short_answer

Calculate $$\left[ 10 \frac{1}{20}+(3-0.85) \div \frac{5}{6} \right] \div 505.2$$.

859adbbe512546a0b75ae0bf0e8f181d

1

short_answer

$$37$$ students have to cross the river by boat. There is only one boat (with no boatman) that can only carry five people. If all of them have to cross the river, what is the least number of trips they have to make in total?

77ba726662b34445bc8b3b0c966cb3ac

1

short_answer

Jen correctly worked out that $2793 \div 49 = 57$. What is the value of $(49 \times 57) + 7$?

5b9cd44e2a8d46b2b9f5c8533ec96089

3

short_answer

In a streaming exercise, students were asked to choose between two subjects, which was Grade $$A$$ Math or Grade $$B$$ Math. $$80$$\% of the students chose Grade $$A$$ Math, $$35$$\% of the students chose Grade $$B$$ Math and $$10$$\% of the students chose neither subjects. Given that a total of $$75$$ students actually chose both Grade $$A$$ and Grade $$B$$ Math, how many students were involved in the streaming exercise?

77c2ba769a7047048ada0b99188fd52a

1

short_answer

I am thinking of a number. It has a 7 in the ones column, 3 in the hundreds column and a 2 in the tens column. Write down this number.

998af0079c4247a1989e0807c81a7b0b

3

short_answer

The teacher wrote the numbers $$1～13$$ on $$13$$ separate pieces of paper. She randomly picked $$9$$ of them and stuck one on each of the foreheads of $$9$$ students. The students are able to see the numbers of the other $$8$$ students but are unable to look at their own number. Teacher: Students that know the number of different factors your number has, please put up your hand. *Two students put up their hands.* Alice: Although I do not know my own number, but I do know that it is an odd number. May: My number is smaller than Alice\textquotesingle s by $$2$$ and bigger than Mark\textquotesingle s by $$1$$. What is the product of the four numbers that were not picked?~\uline{~~~~~~~~~~}~

3afaef15c6e14038b0ae9b8cc73f4661

0

short_answer

What is $$-7$$ added to $$-3$$? ~\uline{~~~~~~~~~~}~

5a33774640ef42fbb9d5c0f6fadf05ae

1

short_answer

$5！=5\times4\times3\times2\times1$ Work out~$\dfrac{100!}{99!+98!}$

b17c4c6265e04390be67da9c493fc323

2

short_answer

Frank is older than Alex who is older than Paul. If the difference in age between Frank and Alex is the same as the difference in age between Alex and Paul, and their sum of ages is $$99$$, How old is Alex?

8a24c57fe2014f94b5b8a95629a79a2d

2

short_answer

What is the average of all $4-$digit numbers that can be formed by using each of the digits $1$, $4$, $6$ and $9$ exactly once?

1820577397204c509b1907b2ea4c2a5f

3

short_answer

There was an equal number of boys and girls at a gathering at first. After $$60$$ boys and $$12$$ girls left the gathering, there were twice as many girls as boys who remained at the gathering. Find the number of boys at the gathering at first.

4a286a0dcf7a4ca5a4d61c7e63b2cb90

0

short_answer

I am a $$3$$-digit even number. * All my digits are different. * The digit in my hundreds place is the greatest $$1$$-digit number. * The digits in my tens and ones place add up to $$15$$. What number am I?

6a4c9fce03a84201b80dea6e9a6cd7cf

1

short_answer

$$3$$ identical bowls of water can fill $$1$$ jug. $$2$$ identical jugs of water can fill $$1$$ pail. How many bowls of water are needed to fill $$1$$ such pail?

39bfd666abde40ed9ef0dbeb23faa055

1

short_answer

There are two pieces of rope. The short rope is $$20$$ meters long. The length of the long rope is $$5$$ times that of the short rope. How many meters are the two pieces of rope?

959efbb55d9940c8a07132d59f0420ff

2

short_answer

A van travels at $$80\text{km}$$ per hour to another city. $$3$$ hours later, a car travels at $$120\text{km}$$ per hour towards the same city from the same place. In how many hours can the car catch up with the van? Below is Mason\textquotesingle s answer. $120-80=40$ $120\div40 = 3$ The car can catch up with the van in $3$ hours. Is Mason\textquotesingle s answer correct? If not, what is the correct answer?

eba97ef5f84146c19418485d0ecbe151

2

short_answer

Wendy is planning to go on a trip. She wants to bring $4$ hats, $3$ shirts, $2$ pairs of pants and $1$ skirt. Given that hats are optional, how many different combinations of clothing can she form?

93563e24dcde4ff39e2fadedcde819a3

1

short_answer

How many digits are there in one repetend of the product of $$0.\overline{01}\times 0.\overline{01}$$?

689ae8da46554adf826beb1a55700c76

1

short_answer

Printer $A$ can print $300$ pages in $12$ minutes while Printer $B$ can print $300$ pages in $10$ minutes. If both printers are used at the same time, how many pages can they print in $\frac{1}{2}\text{h}$?

d559f399083a49ba9b8396e4af839356

1

short_answer

Work out $72 \times ~43$

993780e2460e4c75a69e44c4d42adb9d

1

short_answer

Rena bought some items at a grocery store. $$\frac{2}{3}$$ of them were apples, $$\frac{1}{9}$$ of them were bananas and the rest were lemons. She bought $$12$$ more apples than lemons. How many lemons did Rena buy?