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problemMath-llama5K

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<s>[INST] Mingyu bought 3 erasers for 350 won each and 2 pencils for 180 won each at the stationery store and paid 2,000 won. Find how much change Mingyu should receive. [/INST] To find out how much change Mingyu should receive, we first need to calculate the total cost of the erasers and pencils. The cost of the eras...
<s>[INST] Donghyun chooses three different number cards from 0 to 9 and uses them all to make a three-digit number. This time, he made the third smallest number where the tens digit of this number is 1. What is the sum of the hundreds digit and the ones digit? [/INST] To make the third smallest number with the tens dig...
<s>[INST] Multiples of 4 that are greater than 0 and less than 100 are written sequentially. How many natural numbers are between the 5th number and the 8th number? [/INST] The multiples of 4 that are greater than 0 and less than 100 are: 4, 8, 12, 16, 20, 24, 28, 32, ..., 96. The 5th number in this sequence is 20 (4 ...
<s>[INST] Yeongchan's group consists of 7 people. One person can fold two paper cranes in one minute. How many minutes will it take Yeongchan's group to fold 182 paper cranes? [/INST] If one person can fold two paper cranes in one minute, then in Yeongchan's group of 7 people, they can fold 7 * 2 = 14 paper cranes in o...
<s>[INST] The marbles were divided into 8 bags. If six of these bags held 6 marbles, but the other two bags each held 7 marbles, what would be a total number of marbles? [/INST] If six bags held 6 marbles each, then the total number of marbles in those bags would be: 6 bags * 6 marbles/bag = 36 marbles The other two ...
<s>[INST] There are four numbers 53, 98, 69, and 84. What is the difference between the largest number and the smallest number? [/INST] The largest number among 53, 98, 69, and 84 is 98. The smallest number among 53, 98, 69, and 84 is 53. The difference between the largest number (98) and the smallest number (53) is: ...
<s>[INST] Taehyung, Namjoon, and Jimin bought apples at the fruit shop. If Taehyung bought more apples than Namjoon and Jimin bought more apples than Taehyung, who bought the most apples? [/INST] Jimin bought the most apples. </s>
<s>[INST] Father, Mother, Minji and younger brother went to take pictures. Mother says she will take pictures with the younger brother on her back. How many different ways are there to take pictures side by side? [/INST] To determine the number of different ways to take pictures side by side, we can use permutations si...
<s>[INST] You can only get to home from school by bus or subway. There are a total of 7 ways to get there, and 4 for them is to take the bus. How many ways are there to take subway? [/INST] If there are a total of 7 ways to get home from school and 4 of them involve taking the bus, then the remaining ways must involve ...
<s>[INST] Among 16, 18, 20, and 25, find the number that is divisible by 2 and 5 and is greater than 17. [/INST] To find the number that is divisible by both 2 and 5, we need to look for a number that is even (divisible by 2) and ends with a 0 or 5 (divisible by 5). Among the given numbers, 16, 18, 20, and 25, the num...
<s>[INST] When you divide a number by 3, you get 3. Find this number. [/INST] To find the number, you can set up the equation: number / 3 = 3 To solve for the number, multiply both sides of the equation by 3: number = 3 * 3 number = 9 So the number you're looking for is 9. </s>
<s>[INST] How many integers less than 12 are multiples of 3? [/INST] To find the multiples of 3 that are less than 12, we can list them out starting from the smallest positive multiple of 3: 3, 6, 9 These are the integers less than 12 that are multiples of 3. There are 3 such integers. </s>
<s>[INST] There are some numbers smaller than 20 that are not divisible by 2. Which number is it among 16, 18, 19, and 21? [/INST] The number among 16, 18, 19, and 21 that is smaller than 20 and not divisible by 2 is 19. </s>
<s>[INST] What is the volume of a cube with a side of an area of 64 square centimeters (cm2) in cubic centimeters (cm3)? [/INST] To find the volume of a cube, we need to know the length of one of its sides. Since we are given the area of one side, we can find the length of a side by taking the square root of the area. ...
<s>[INST] Of the 36 students, 24 fewer students wear glasses than students who do not wear glasses. How many students wear glasses? [/INST] Let's denote the number of students who wear glasses as G and the number of students who do not wear glasses as N. According to the problem, we have two pieces of information: 1....
<s>[INST] How many fractions of the same size as 7/8 have two-digit denominators? [/INST] To find fractions of the same size as 7/8 with two-digit denominators, we need to find equivalent fractions to 7/8 where the denominator is a two-digit number. An equivalent fraction to 7/8 can be found by multiplying both the nu...
<s>[INST] The sum of 4 sides of a rectangle equals 50 centimeters (cm). If the length of this rectangle is 13 centimeters (cm), what is the length of its width in centimeters (cm)? [/INST] The perimeter of a rectangle is given by the formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. G...
<s>[INST] Jeongyeon and Joohyun have their heights measured. Jeongyeon's height is 1.06 times that of Joohyun, and Joohyun's height is 134.5 cm (cm). How tall is Jeongyeon? [/INST] To find Jeongyeon's height, we need to multiply Joohyun's height by 1.06 since Jeongyeon's height is 1.06 times that of Joohyun. Jeongyeon...
<s>[INST] When you round a 3-digit decimal to one decimal place, you get 3.5. Find the sum of the largest and smallest of these decimal numbers, including the decimal point. [/INST] When you round a 3-digit decimal to one decimal place and get 3.5, it means the original number could be anywhere from 3.45 to 3.54. This ...
<s>[INST] Juyeon runs 215 meters (m) a day. If Juyeon ran 0.32 times her usual speed today, how many meters (m) did she run today? [/INST] If Juyeon ran at 0.32 times her usual speed today, she would have covered 0.32 times the distance she usually runs. So, the distance she ran today would be: 215 meters * 0.32 = 68....
<s>[INST] There is a four-digit number 7AA1 that is divisible by 9 without any remainder. Find the possible four digit number. [/INST] To find the possible four-digit number 7AA1 that is divisible by 9, we need to use the divisibility rule for 9. According to this rule, a number is divisible by 9 if the sum of its digi...
<s>[INST] If you give 6 snacks to each of the 18 students, it's left, and if you give 7 snacks to each student, it's not enough. What is the maximum number of snacks? [/INST] Let's denote the total number of snacks as S. If you give 6 snacks to each of the 18 students, there are some snacks left. This means that the t...
<s>[INST] The rental fee for a comic book is 4,000 won for 30 minutes. 6 students want to borrow 4 books in total for 3 hours. If all of these students are willing to pay the same amount, find the amount of money that a student should pay. [/INST] First, let's calculate the total rental fee for 4 books for 3 hours. Th...
<s>[INST] There are five numbers 10, 11, 12, 13, and 14. Which number is the smallest? [/INST] The smallest number among 10, 11, 12, 13, and 14 is 10. </s>
<s>[INST] Find the difference between the largest number and the third smallest number that can be made by changing the order of the digits in each place of 168. [/INST] To find the largest number, we need to arrange the digits in descending order, and for the third smallest number, we need to consider the possible arr...
<s>[INST] You are planning a trip to five cities: Gyeongju, Pohang, Busan, Geoncheon, and Gimhae. If you visit each city only once, how many orders can you make to visit the city? However, Gyeongju must be visited first. [/INST] Since Gyeongju must be visited first, we have 4 remaining cities to order: Pohang, Busan, G...
<s>[INST] How many diagonals can you draw in an octagon? [/INST] To find the number of diagonals in an octagon (or any polygon), you can use the formula: Number of diagonals = n(n - 3) / 2 where n is the number of sides in the polygon. For an octagon, n = 8. So, the calculation would be: Number of diagonals = 8(8 -...
<s>[INST] Hansol's height is 134.5 centimeters (cm). If Hancho's height is 1.06 times Hansol's height, how tall is Hancho in centimeters (cm)? [/INST] To find Hancho's height, we need to multiply Hansol's height by 1.06. Hancho's height = Hansol's height × 1.06 Hancho's height = 134.5 cm × 1.06 Hancho's height = 142.5...
<s>[INST] Grandpa wants to buy 12 bottles of 3-liter (L) water and distribute 3/4 liter (L) to each student. How many students can he share? [/INST] Grandpa has 12 bottles of 3-liter water, so the total amount of water he has is: 12 bottles * 3 liters/bottle = 36 liters If he wants to distribute 3/4 liter to each stu...
<s>[INST] The length of one edge of a cube (a) is 5 centimeters (cm). A rectangular parallelepiped (b) is 4 centimeters (cm), 5 centimeters (cm), and 6 centimeters (cm) in width, length, and height, respectively. Which of the shapes (a) and (b) has the larger volume? [/INST] To determine which shape has the larger volu...
<s>[INST] It is said that a number plus 72 is equal to twice the number divided by 2/3. Find the number. [/INST] Let's denote the number we are looking for as \( x \). According to the statement, the number plus 72 is equal to twice the number divided by \( \frac{2}{3} \). We can write this as an equation: \( x + 72 ...
<s>[INST] How many five-digit numbers are common multiples of 2, 3, 8, and 9? [/INST] To find the common multiples of 2, 3, 8, and 9, we need to find the least common multiple (LCM) of these numbers. The LCM will be the smallest number that is a multiple of all these numbers. First, let's find the prime factorization ...
<s>[INST] How many three-digit numbers are greater than 137 and less than 285? [/INST] To find the number of three-digit numbers greater than 137 and less than 285, we need to find the first three-digit number after 137 and the last three-digit number before 285. The first three-digit number after 137 is 138, and the ...
<s>[INST] I need to add 22 to a number, but I mistakenly added 12 and got 48. Find the result of the correct calculation. [/INST] If you mistakenly added 12 to the number and got 48, then the original number before adding 12 was: 48 - 12 = 36 Now, to find the result of the correct calculation, you need to add 22 to t...
<s>[INST] There is a room in the shape of a cube. If the length of one side of this room is 5 meters (m), what is the circumference of the floor of this room in meters (m)? [/INST] The circumference of a shape typically refers to the distance around a circle. However, since we're dealing with a cube, which has a square...
<s>[INST] After the train departed, 29 people got off at the first station 17 people got on. At the second station, 27 people got off and 35 got on. There are 116 people on the train right now. How many people were on the train when it first departed? [/INST] Let's call the number of people on the train when it first d...
<s>[INST] Sehee needs 15 liters of milk to make bread with friends. If Sehee currently has only 7 liters (L) and 200 milliliters (mL) of milk at home, how many 600 milliliters (mL) of milk should she buy at least? [/INST] First, we need to calculate how much more milk Sehee needs to reach the required 15 liters for mak...
<s>[INST] A rectangular slice of bread with an area of 59.6 square centimeters (cm2) is divided into 4 equal parts. What is the area of one part? [/INST] To find the area of one part, we simply divide the total area of the bread by the number of parts it is divided into. Total area of the bread = 59.6 cm² Number of pa...
<s>[INST] Find the number of two-digit natural numbers that can be made by drawing two from the number cards 1, 2, and 3. [/INST] To form a two-digit natural number using the number cards 1, 2, and 3, we can use each card for the tens place and the other for the units place. Since we have three different cards, we can ...
<s>[INST] Jimin has paint, and he used 4.3 liters (L) of each to paint his house and his friend's house, and the remaining paint is 8.8 liters (L). Find how many liters (L) of paint Jimin had at the beginning. [/INST] If Jimin used 4.3 liters of paint for his house and another 4.3 liters for his friend's house, he used...
<s>[INST] When you multiply a number by 7, you get 50.68. find this number. [/INST] To find the number, you need to divide 50.68 by 7. 50.68 ÷ 7 = 7.24 So the number is 7.24. </s>
<s>[INST] Seongjun and Seungah are playing slap-match. It is said that the number of Seongjun's ttakji multiplied by 3/4 subtracted by 25 equals the number of Seunga's ttakji subtracted by 50 multiplied by 7. When Seunga has 100 ttakjis, find how many ttakji Seongjun has. [/INST] Let's denote the number of Seongjun's t...
<s>[INST] You are trying to draw a diagonal line within a hexagon. Find the number of diagonals in this case. [/INST] To find the number of diagonals within a hexagon, we can use the formula for finding the number of diagonals in any polygon: Number of diagonals = n(n - 3) / 2 where n is the number of sides in the po...
<s>[INST] There are two natural numbers whose difference is 480. If the larger number divided by the smaller number gives the quotient of 4 and the remainder of 30, find the larger number. [/INST] Let's denote the smaller number as \( x \) and the larger number as \( y \). According to the problem, we have two equation...
<s>[INST] It is 28 when you multiply a number by 7/8. How much is it when you add 16 to that number and multiply 5/16? [/INST] Let's call the number you're looking for "x". According to the first part of the problem, when you multiply x by 7/8, you get 28. So we can write this as an equation: (7/8) * x = 28 To find ...
<s>[INST] Find the number of multiples of 9 in numbers less than 80. [/INST] To find the number of multiples of 9 less than 80, we can divide 80 by 9 and take the integer part of the result. 80 ÷ 9 = 8.888... The integer part of the result is 8, which means there are 8 full multiples of 9 within the range of numbers ...
<s>[INST] The average score on Jungkook's math test in April and May is 89 points. If Jungkook's average score on the math test in April, May, and June is 88, how many points did Jungkook take on the math test in June? [/INST] To find out Jungkook's score on the math test in June, we first need to calculate the total p...
<s>[INST] A set of three bulgogi burgers and chicken burgers costs 21,000 won. If a bulgogi burger is 300 won more expensive than a chicken burger, how much does a chicken burger cost? [/INST] Let's denote the cost of a chicken burger as \( C \) won and the cost of a bulgogi burger as \( B \) won. According to the info...
<s>[INST] What is the value of adding the second largest number to the sum of the largest and smallest three-digit number that can be formed by using the number cards 2, 5, and 8 only once? [/INST] To form the largest three-digit number using the digits 2, 5, and 8, we arrange them in descending order: 852. To form th...
<s>[INST] There is a cube with one edge 3 centimeters (cm) long. If you cut a cube with one edge of 1 centimeters (cm) at each vertex, what is the volume in cubic centimeters (cm3) of the remaining part? [/INST] To find the volume of the remaining part of the cube after cutting off smaller cubes from each vertex, we ne...
<s>[INST] Hohyeon, Seulgi, and Hyunjeong are competing in kicking jegi. Hohyeon kicked 23 times in the first and 28 times in the second. Hyunjeong kicked 32 times in the first and 17 times in the second. Seulgi kicked 27 times in the first. At least how many times does Seulgi need to kick in the 2nd to win first alone?...
<s>[INST] What is the largest four-digit number divisible by 5, 6, and 2? [/INST] To find the largest four-digit number divisible by 5, 6, and 2, we need to find the least common multiple (LCM) of these numbers and then find the largest multiple of this LCM that is a four-digit number. Since 6 is divisible by 2, we do...
<s>[INST] We plan to build six houses at regular intervals in a city of 11.5 kilometers (km). If you build houses at both ends of the city, how many kilometers (km) apart should the houses be? [/INST] If you plan to build six houses at regular intervals along the 11.5 km length of the city, and you're including houses ...
<s>[INST] You laid out four 100-won coins on a piece of paper and drew the smallest square containing the coins. The perimeter of the square was 56 centimeters (cm). Find the perimeter in centimeters (cm) of the smallest square containing 441 100-won coins. [/INST] To find the perimeter of the smallest square containin...
<s>[INST] The warehouse received 318 boxes on the first day, 312 boxes on the second day, and 180 and 162 boxes separately on the third day. What is the average number of boxes received per day by the third day? [/INST] To find the average number of boxes received per day by the third day, we need to add the total numb...
<s>[INST] There are 4 boxes (A), (B), (C), and (D). Box (B) is smaller than box (D). Box is (A) larger than box (D). Box (B) is larger than box (C). Which box is the smallest in size? [/INST] Based on the information provided: - Box (B) is smaller than box (D). - Box (A) is larger than box (D). - Box (B) is larger tha...
<s>[INST] All possible three-digit natural numbers were made by picking three out of the ten digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 and arranging them in a row. Among these, find the largest even number of no more than 300. [/INST] To find the largest even number that is no more than 300, we need to consider the foll...
<s>[INST] 20 students lined up in a single line. Eleven students are standing in front of Yoongi. How many students are standing behind Yoongi? [/INST] If there are 11 students in front of Yoongi, then Yoongi is the 12th student in line. Since there are 20 students in total, to find out how many students are behind Yoo...
<s>[INST] An elephant train with a length of 15 meters (m) is running at 275 centimeters (cm) per second. If it took 48 seconds for this train to pass completely through the bridge, find the length in meters (m) of the bridge. [/INST] First, let's convert the speed of the elephant train from centimeters per second to m...
<s>[INST] 7/10 of the water remains in the 10 liter (L) bucket. How many liters (liters) of water do you need to fill in one bottle to divide the remaining water equally into 4 bottles? [/INST] First, we need to find out how much water is remaining in the 10-liter bucket. Since 7/10 of the water remains, we calculate: ...
<s>[INST] Find how many numbers from 1 to 12 are multiples of 3. [/INST] To find the multiples of 3 from 1 to 12, we can list them out: 3, 6, 9, 12 There are 4 numbers that are multiples of 3 between 1 and 12. </s>
<s>[INST] When Hoseok bought 2 persimmons and 7 apples, how many fruits did Hoseok buy? [/INST] Hoseok bought a total of 2 persimmons + 7 apples = 9 fruits. </s>
<s>[INST] Find the sum of the factors of 32. [/INST] The factors of 32 are the numbers that can be multiplied together to give the product of 32. These factors include: 1 (because 1 x 32 = 32) 2 (because 2 x 16 = 32) 4 (because 4 x 8 = 32) 8 (because 8 x 4 = 32) 16 (because 16 x 2 = 32) 32 (because 32 x 1 = 32) Now, ...
<s>[INST] To make confetti, you are going to cut a strip of paper 0.3 cm (cm) at a time. How many centimeters (cm) of paper strips are left after making confetti from a 15.7 cm (cm) paper strip? [/INST] If you are cutting the paper strip into 0.3 cm pieces to make confetti, you would divide the total length of the pape...
<s>[INST] The length of the base of the trapezoid is 25 centimeters (cm), and the length of the top side is (a) centimeters (cm). If the distance between the two sides is 13 centimeters (cm), and the area of this trapezoid is 286 square centimeters (cm2), what is the correct number for (a)? [/INST] The area of a trapez...
<s>[INST] Hyunjeong stacked up 15 red boxes and Seulgi stacked up 20 yellow boxes. When the heights of one red box and one yellow box are 4.2 cm and 3.3 cm respectively, find out who stacked up the box the highest. [/INST] To find out who stacked the boxes the highest, we need to calculate the total height of the stack...
<s>[INST] There is a rectangular prism that has all its edges the same length. If the sum of the lengths of all the edges of this square prism is 72 centimeters (cm), how many centimeters (cm) is the length of one edge? [/INST] A rectangular prism has 12 edges. If all the edges are of the same length and the sum of the...
<s>[INST] Street trees are to be planted every 6.4 meters (m) on one side of a road with a length of 268.8 meters (m). Find the number of trees needed if you plant trees at both the beginning and end of the road. [/INST] To find the number of trees needed, we divide the length of the road by the distance between each t...
<s>[INST] Five years ago, the mother was four times the daughter's age. Eight years from this year, the sum of the ages of mother and daughter will be 71. How old is the mother this year? [/INST] Let's denote the daughter's age five years ago as D and the mother's age five years ago as M. According to the first stateme...
<s>[INST] How many numbers between 0.8, 1/2 are less than or equal to 0.4? [/INST] The question asks for numbers between 0.8 and 1/2 (which is 0.5 when converted to a decimal) that are less than or equal to 0.4. However, both 0.8 and 0.5 are greater than 0.4, so there are no numbers between 0.8 and 0.5 that are less ...
<s>[INST] Seokjun drew a rhombus by connecting the dots in the middle of each side of a square with a circumference of 96 centimeters (cm). What is the area, in square centimeters (cm2), of the rhombus you drew? [/INST] To find the area of the rhombus Seokjun drew, we first need to determine the length of the sides of ...
<s>[INST] Seongjae's class is made up of 7 groups, with 6 students in each group. 14 bundles of 105 sheets of colored paper were distributed equally to Seongjae's classmates, and there were 84 sheets left. How many pieces of colored paper were handed out to each person? [/INST] First, let's find out the total number of...
<s>[INST] 20 students are waiting for the bus. If 11 people came before Yoongi, how many people came later than Yoongi? [/INST] If 11 people came before Yoongi, then Yoongi is the 12th person in line. Since there are 20 students in total, we can subtract the 12 people who came before or including Yoongi to find out how...
<s>[INST] There was juice in the fridge. Of this, the father drank 1/6 of the total, and the mother drank the remaining 2/5. After Hyo-geun drank 2/3 of the remaining juice from father and mother, if the amount of juice remaining was 120 milliliters (ml), how many milliliters (ml) of juice was initially in the refriger...
<s>[INST] Find the number of cases of selecting 9 balls using at least 1 of each of the 3 different balls and allowing duplicates. [/INST] To solve this problem, we can use the concept of combinations with repetition (also known as stars and bars method) with the constraint that at least one of each type of ball must b...
<s>[INST] There are 7 packs of pencils. There are 3 fewer pencils than colored pencils. If there are 10 pencils in a pack of pencils, how many colored pencils are there? [/INST] If there are 7 packs of pencils and each pack contains 10 pencils, then there are a total of 7 * 10 = 70 pencils. Since there are 3 fewer pen...
<s>[INST] You have a cookie in the shape of a regular hexagon with an area of 81.12 square centimeters (cm2). If 6 friends divide the cookie into equal parts and eat it, find the area in square centimeters (cm2) of the cookie eaten by one person. [/INST] To find the area of the cookie eaten by one person, we simply nee...
<s>[INST] If 34 plus a certain number minus 53 is 28, what number is that? [/INST] Let's call the certain number "x". According to the problem, we have: 34 + x - 53 = 28 Now, let's solve for x: First, combine the constants (34 and -53): 34 - 53 = -19 So the equation becomes: -19 + x = 28 Now, add 19 to both si...
<s>[INST] Hyuna walks 7000 meters (m) in an hour. Express as an integer of how many hours Hyuna must walk to reach 100000 meters (m). [/INST] To find out how many hours Hyuna must walk to reach 100,000 meters, we divide the total distance she wants to cover by the distance she covers in one hour. Total distance to cov...
<s>[INST] There are 19 white marbles and some black marbles in a bag. How many black marbles are there if the total number of white and black marbles is 37 in the bag? [/INST] If there are 19 white marbles and the total number of marbles is 37, then the number of black marbles can be found by subtracting the number of ...
<s>[INST] There is a square with a side of 6 centimeters (cm). By how many square centimeters (cm2) does the area of the square increase if the length of each side of the square is increased by 1 centimeter (cm)? [/INST] The original square has a side length of 6 cm. The area of the original square is calculated by squ...
<s>[INST] The red confetti is a square shape whose side is 8 centimeters (cm), and the yellow confetti is a rectangle shape whose side is 10 centimeters (cm) and 5 centimeters (cm). Find the difference between the areas of the red confetti and the yellow confetti. [/INST] To find the difference between the areas of the...
<s>[INST] You have a rectangle with a perimeter of 54 centimeters (cm). At this time, the horizontal length is 3 centimeters (cm) longer than the vertical length. Find the horizontal length. [/INST] Let's denote the vertical length as \( v \) and the horizontal length as \( h \). According to the problem, the horizonta...
<s>[INST] Using 0.14 liters (L) of gasoline, you can travel 1 kilometer (km). How many liters (l) of gasoline do you need to travel 2 hours 30 minutes at 93.6 kilometers (km) in 1 hour? [/INST] First, let's calculate the total distance you would travel in 2 hours and 30 minutes at a speed of 93.6 kilometers per hour. ...
<s>[INST] Jungkook has 6 erasers. Jimin has 4 more erasers than Jungkook, and Seokjin has 3 fewer than Jimin. Who has the fewest erasers? [/INST] Jungkook has 6 erasers. Jimin has 4 more erasers than Jungkook, so Jimin has 6 + 4 = 10 erasers. Seokjin has 3 fewer erasers than Jimin, so Seokjin has 10 - 3 = 7 erasers. O...
<s>[INST] Students are standing in a line. There are 9 people in front of Taehyung and 16 people behind him. How many students are standing in a line? [/INST] If there are 9 people in front of Taehyung and 16 people behind him, we need to include Taehyung himself to find the total number of students in the line. So, t...
<s>[INST] There are 17 apples and 9 pears. How many more apples than pears? [/INST] There are 17 apples and 9 pears. To find out how many more apples there are than pears, you subtract the number of pears from the number of apples: 17 apples - 9 pears = 8 more apples than pears. </s>
<s>[INST] You have a room with a rectangular floor with a length of 3.6 meters (m) and a width 2.5 times its length. If half of the floor in this room is tiled in yellow, what is the area of the yellow tiled floor in square meters (m2)? [/INST] First, we need to find the width of the room. Since the width is 2.5 times ...
<s>[INST] Among the dolls made in a factory per day, the number of dolls excluding the defective ones is 4800, and the number of the total dolls made per day is 1.33 times the number of normal products. Find how many dolls the factory makes per day. [/INST] Let's denote the number of normal (non-defective) dolls made p...
<s>[INST] I climbed the mountain at 2 kilometers per hour (km), and when I came down, I walked 2 kilometers (km) further than when I went up, at 3 kilometers (km) per hour, and it took 4 hours. What is the distance of climbing down the mountain? [/INST] Let's denote the distance of climbing up the mountain as \( x \) k...
<s>[INST] Namjoon, Yoongi, and Hoseok stood in a line at the supermarket. Namjoon stood at the 33rd, and Hoseok stood at the 35th. What about Yoongi? [/INST] If Namjoon stood at the 33rd position and Hoseok stood at the 35th, Yoongi would be in the 34th position if he stood between them. </s>
<s>[INST] You have a cube-shaped box with one edge measuring 11 centimeters (cm). What is the surface area of the box in square centimeters (cm2)? [/INST] The surface area of a cube is calculated by finding the area of one of its faces and then multiplying that by 6, since a cube has 6 faces and they are all identical ...
<s>[INST] Grandpa's age this year is 6 times the age of his grandson. After 4 years, the sum of the ages of the grandfather and grandson will be 78. How old is the grandson this year? [/INST] Let's denote the grandson's age this year as G and the grandfather's age as 6G (since the grandfather is 6 times older than the ...
<s>[INST] There are 4 boxes of 5 persimmons in Jungkook's house. How many persimmons are there in Jungkook's house? [/INST] If there are 4 boxes and each box contains 5 persimmons, you can calculate the total number of persimmons by multiplying the number of boxes by the number of persimmons in each box: 4 boxes * 5 p...
<s>[INST] Four friends met and everyone shook hands with each other once. Find the total number of handshakes. [/INST] If there are four friends, we can label them A, B, C, and D. A will shake hands with B, C, and D (3 handshakes). B has already shaken hands with A, so B will shake hands with C and D (2 handshakes). C...
<s>[INST] Given two natural numbers A and B, if B is the number obtained when A is multiplied by 9 and then added to 13, what is the remainder when you divide B by 9? [/INST] Let's denote the natural number A as "a" and the number B as "b". According to the given information, B is obtained by multiplying A by 9 and the...
<s>[INST] Write the largest five-digit number that can be formed by using 0, 3, 4, 8, and 9 only once. [/INST] The largest five-digit number that can be formed by using the digits 0, 3, 4, 8, and 9 only once is 98430. </s>
<s>[INST] It takes 3 days for Yunkyung to complete a certain task by herself. What is the total amount of work Yunkyung can do in a day? [/INST] If Yunkyung can complete a certain task by herself in 3 days, then the total amount of work she can do in a day is 1/3 of the task. This is because the task is divided into th...
<s>[INST] There are 19 baskets of plums with 46 in each basket and several baskets of blueberries with 170 in each basket. If the total number of fruits in the basket is 1894, how many baskets of blueberries are there? [/INST] First, let's calculate the total number of plums. There are 19 baskets of plums with 46 plums...
<s>[INST] Miyoung is ranked 12th from the front and 12th from the back in math scores of her class. Miyoung's school has a total of 3 grades, each grade has 12 classes, and each class has the same number of students. How many students are there in this school? [/INST] If Miyoung is ranked 12th from the front and 12th f...