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<s>[INST] Hose A takes 10 hours to fill the bathtub, and Hose B takes 15 hours to fill the bathtub. Determine how many hours it will take to fill the bathtub if both hoses are used. [/INST] To solve this problem, we need to determine the rate at which each hose fills the bathtub and then combine these rates to find the... |
<s>[INST] I made the widest square out of wire, and its size is 324 square centimeters (cm2). Find the length of the wire. [/INST] To find the length of the wire used to make the square, we first need to determine the side length of the square. Since the area of a square is given by the formula:
Area = side length × s... |
<s>[INST] My father is 34 years old and my mother is 30 years old. What is the age of my father in the year when the sum of the ages of my father and mother becomes 100? [/INST] Let's denote the current year as Y and the number of years from now when their ages sum up to 100 as X.
Currently, your father is 34 years ol... |
<s>[INST] If the largest rhombus is drawn inside a circle with a radius of 10 centimeters (cm), how long centimeters (cm) is the diagonal of the rhombus? [/INST] The largest rhombus that can be drawn inside a circle is one where the vertices of the rhombus touch the circumference of the circle. This rhombus is also kno... |
<s>[INST] At the bank, 1 yuan in Chinese money is exchanged for 17.25 yen in Japanese money. Saeyoung has one 1000 yuan bill and one 10 yuan coin. How much is Seyoung's Chinese money in Japanese money? [/INST] To find out how much Saeyoung's Chinese money is worth in Japanese money, we need to calculate the total amoun... |
<s>[INST] Yesterday Seok-jin bought 10 fish and paid 3,000 won. He paid 6,000 won more than yesterday because he bought more fish from the same store. Find the total number of fish that Seok-jin bought yesterday and today. [/INST] Let's first find out how much Seok-jin paid today. He paid 6,000 won more than yesterday,... |
<s>[INST] Sumin's candies are in two flavors, strawberry and grape. If there are 821 candies and 267 strawberry candies, find the difference between the number of grape and strawberry candies. [/INST] To find the difference between the number of grape and strawberry candies, we first need to find out how many grape can... |
<s>[INST] I paid 1,000 won after buying a glue for 270 won and pencils for 210 won and received 100 won as change. How many pencils did I buy? [/INST] Let's calculate the total cost of the glue and pencils first.
Cost of glue = 270 won
Cost of pencils = 210 won per pencil
Total cost of glue and pencils = Cost of glue... |
<s>[INST] What number must go in A to make A78-2B4=364? [/INST] Let's solve the equation step by step:
A78
-2B4
____
364
First, let's look at the units place. We have 8 - 4 = 4, which is correct as given in the result.
Now, let's look at the tens place. We have 7 - B = 6. To find B, we can add 6 to 4 (since 7 - som... |
<s>[INST] If there are 12 cars in the parking lot, but no additional cars have entered, and there are currently 9 cars remaining, how many cars have left the parking lot? [/INST] If there were originally 12 cars in the parking lot and there are now 9 cars remaining, then the number of cars that have left the parking lo... |
<s>[INST] There are 200 grams (g) of 5% sugar water. If water evaporated from this sugar water to make it 8% sugar water, find how many grams (g) of water has evaporated. [/INST] Let's start by calculating the amount of sugar in the original 5% sugar water solution.
5% of 200g is:
(5/100) * 200g = 10g of sugar
Now, ... |
<s>[INST] Each box contains 100 persimmons. How many persimmons are there in all 6 boxes? [/INST] If each box contains 100 persimmons, then in 6 boxes there would be:
6 boxes * 100 persimmons/box = 600 persimmons in total. </s> |
<s>[INST] 1.2 kg (kg) of glutinous rice flour is needed to make 3.8 kg (kg) of chapsalttock. The total weight of chapsalttocks made in the store is 53.2 kg (kg), and the amount of glutinous rice flour in a box is 3 kg (kg). How many boxes of glutinous rice flour do they need to make all the chapsalttocks in the store? ... |
<s>[INST] A figure with one side of 16 centimeters (cm) and all sides of the same length has a perimeter of 80 centimeters (cm). How many angles does this shape have? [/INST] If the figure has sides of equal length and one side is 16 cm, then each side of the figure is 16 cm long. To find out how many sides the figure ... |
<s>[INST] There is a square with a perimeter of 52 centimeters (cm), and a rectangle with a length of 15 centimeters (cm) and a perimeter of 52 centimeters (cm). What is the difference between the areas of the two shapes? [/INST] First, let's find the side length of the square. Since a square has four equal sides, we c... |
<s>[INST] Find the smallest natural number B that satisfies the equation 360÷(A×A×A/B)=5. [/INST] Let's denote the smallest natural number B as b. The equation given is:
360 ÷ (A³ / b) = 5
First, let's solve for A³ / b:
360 ÷ (A³ / b) = 5
A³ / b = 360 / 5
A³ / b = 72
Now, we want to solve for b:
b = A³ / 72
Since... |
<s>[INST] Jimin did 30 laps in 3 hours and 30 minutes and Dongguk did 10 laps in 1 hour. Which of the two ran faster? [/INST] To determine who ran faster, we need to calculate the average speed for each person. Speed is calculated by dividing the distance traveled by the time taken to travel that distance.
For Jimin:
... |
<s>[INST] Subtract 26 from any number and divide by 2 is 37. Find the value of dividing a number by 4 and subtracting it from 48. [/INST] Let's call the unknown number "x".
According to the first part of the problem, when you subtract 26 from x and then divide by 2, the result is 37. We can write this as an equation:
... |
<s>[INST] Thirty people voted in the Class Representative Election. A got 12 votes, 3 votes for B, and C got 15 votes. The candidate with the most votes is said to be the class president. Write down who is the candidate who won the election. [/INST] Candidate C won the election with 15 votes, which is the highest numbe... |
<s>[INST] Minjeong has 6 marbles and Joohwan has 7. Minjeong has 1 more marble than Sunho, and Jinyoung has 3 fewer marbles than Joohwan. Who has the fewest marbles? [/INST] Let's break down the information given:
1. Minjeong has 6 marbles.
2. Joohwan has 7 marbles.
3. Minjeong has 1 more marble than Sunho.
4. Jinyoun... |
<s>[INST] If all the angles of a figure with eight angles are in the same size and the perimeter of the figure is 23.6 centimeters (cm), how long is one side of the figure in centimeters (cm)? [/INST] If the figure has eight angles and all angles are of the same size, it is an octagon with equal sides. Since the perime... |
<s>[INST] There were 38 people in the bus. If 9 more people stepped off at the stop than those who got on at the stop, how many people are on the bus now? [/INST] Let's call the number of people who got on the bus at the stop "x". Then, the number of people who stepped off the bus at the stop would be "x + 9".
Initial... |
<s>[INST] There are three numbers A, B, and C. A is 7 greater than 32. B is a number of 3 groups of 10 and 3 units. C is 9 less than 50. Which number is the smallest? [/INST] Let's calculate each number:
A is 7 greater than 32, so A = 32 + 7 = 39.
B is a number of 3 groups of 10 and 3 units, so B = (3 * 10) + 3 = 30 ... |
<s>[INST] 16 teams are having a soccer game. The losing team is eliminated and the winning team advances to the next match. How many matches are played in total when the last winning team wins the game? [/INST] In a single-elimination tournament with 16 teams, each match eliminates one team. To determine the total numb... |
<s>[INST] When 11 is divided by 3, the remainder is 2 and the quotient is A. Find the value of A at this time. [/INST] When 11 is divided by 3, the division can be expressed as:
11 = 3 * A + 2
Here, A is the quotient and 2 is the remainder. To find the value of A, we can rearrange the equation to solve for A:
A = (1... |
<s>[INST] There are 7 boxes with each box containing 9 bottles of milk. If you eat 7 of these bottles of milk and divide the remaining milk equally among 8 people, Find how many bottles of milk you should give per person. [/INST] First, let's find out the total number of bottles of milk before you eat any. There are 7 ... |
<s>[INST] There are two numbers, A and B. A is 33 greater than 49. B is 9 multiplied by 9. Which number is greater? [/INST] Let's calculate the values of A and B.
A is 33 greater than 49, so:
A = 49 + 33
A = 82
B is 9 multiplied by 9, so:
B = 9 * 9
B = 81
Now, comparing A and B:
A = 82
B = 81
A is greater than B. <... |
<s>[INST] Jungkook solved 15 math problems. He got 8 questions worth 2 points and 2 questions worth 1 point correct, and he got the rest wrong, so no points were awarded for that. How many points did Jungkook get? [/INST] Jungkook got 8 questions correct that were worth 2 points each, so for those questions, he earned:... |
<s>[INST] Jungwoo takes 20 seconds to run 150 meters (m). If Jungwoo runs for 1 minute, find how many meters (m) he can run. [/INST] First, let's find out how many 20-second intervals there are in 1 minute.
1 minute = 60 seconds
Now, divide 60 seconds by 20 seconds to find the number of intervals:
60 seconds / 20 se... |
<s>[INST] Two of the numbers 3, 5, and 9 were drawn and used only once to create the largest two-digit number. Find the number 27 less than the two digit number you created. [/INST] To create the largest two-digit number using two of the numbers 3, 5, and 9, we should use the largest digits in the tens and ones places.... |
<s>[INST] When 14A+B73=418, what number should be in A, where 14A and B73 are three-digit numbers? [/INST] To solve for A, we need to understand that 14A is a three-digit number where A is the units digit, and B73 is also a three-digit number where B is the hundreds digit. The equation given is:
14A + B73 = 418
Let's... |
<s>[INST] Yuna, Minyoung, and Yoojeong are drinking milk. Yoojeong drank the most milk, and Minyoung drank less milk than Yuna. Who drank the least milk? [/INST] Minyoung drank the least milk. Since Yoojeong drank the most and Minyoung drank less than Yuna, Minyoung is the one who drank the least. </s> |
<s>[INST] Students line up in five lines every time they jump rope, with an equal number of students in each line. Hoseok is always 4th from the left and 9th from the right in a row. How many students are there in all? [/INST] If Hoseok is 4th from the left and 9th from the right, we can determine the total number of s... |
<s>[INST] Hoseok did 8 workouts on Monday, 5 on Tuesday, 12 on Wednesday, 17 on Thursday, and 10 on Friday. Find the number of times he worked out on Thursday minus the number of times he worked out on Tuesday. [/INST] Hoseok worked out 17 times on Thursday and 5 times on Tuesday.
To find the difference in the number... |
<s>[INST] How many faces are in a regular dodecahedron? [/INST] A regular dodecahedron has 12 faces. Each face is a regular pentagon. </s> |
<s>[INST] A basket full of persimmons of the same weight weighed 62 kilograms (kg). After leaving only half of the persimmons, I weighed it with the basket and it was 34 kilograms (kg). How many kilograms (kg) does the basket alone weigh? [/INST] Let's denote the weight of the basket alone as B kg and the total weight ... |
<s>[INST] Yoongi had 4 apples, Jungkook had 6 apples, but he ate 3. If Yuna has 5 apples, who has the fewest? [/INST] After Jungkook ate 3 of his 6 apples, he was left with 3 apples. Therefore, Jungkook has the fewest apples. </s> |
<s>[INST] Hyunji walked 3.97 kilometers (km), and Gayoung walked 4028 meters (m). Who has walked more distances? [/INST] To compare the distances walked by Hyunji and Gayoung, we need to convert either kilometers to meters or meters to kilometers, since 1 kilometer is equal to 1000 meters.
Hyunji's distance in meters:... |
<s>[INST] There is one box whose base looks like a square. To investigate whether the bottom of the box is actually square, the horizontal length and vertical length were measured, and it turned out that the box was not square as it measured 1.618 meters (m) wide and 162.3 centimeters (cm) long. Which is longer, the ho... |
<s>[INST] Jungkook has 5 red balls, 4 blue balls, and 3 yellow balls. When Yoongi gives 1 yellow ball to Jungkook, how many red balls does Jungkook have? [/INST] Jungkook originally has 5 red balls. When Yoongi gives him 1 yellow ball, the number of yellow balls Jungkook has increases, but the number of red balls remai... |
<s>[INST] A number has to be multiplied by 15, but I accidentally multiplied by 51 and it became 244.8. Find the correct value. [/INST] To find the correct value, we need to first reverse the incorrect multiplication and then apply the correct multiplication.
The incorrect multiplication was by 51, which resulted in 2... |
<s>[INST] 7 out of 13 flowers are withered and discarded. How many live flowers are there? [/INST] If 7 out of 13 flowers are withered and discarded, then there are 13 - 7 = 6 live flowers remaining. </s> |
<s>[INST] It is said that Mother used 5 liters (L) of water to wash rice, and Father used 4900 milliliters (㎖) of water. Who used more water? [/INST] To compare the amounts of water used by Mother and Father, we need to convert the units so that they are the same. Since Mother's usage is given in liters and Father's in... |
<s>[INST] Hyejin only has 100 won coins in her piggy bank. If you put 24 more 100 wons in the piggy bank, it will be 4 times the current amount. How many coins is currently in Hyejin's piggy bank? [/INST] Let's denote the current number of 100 won coins in Hyejin's piggy bank as \( x \).
According to the problem, if w... |
<s>[INST] There are 13 students behind Youngbin. If a total of 25 students are standing in a line, how many students are in front of Youngbin? [/INST] If there are 13 students behind Youngbin and a total of 25 students in the line, we can find out how many students are in front of Youngbin by subtracting the number of ... |
<s>[INST] Find the smallest number greater than 0.4 from 0.8, 1/2, and 0.3. [/INST] To find the smallest number greater than 0.4 from the given numbers, we first need to compare them all in the same format. Let's convert 1/2 to a decimal to make the comparison easier.
1/2 as a decimal is 0.5.
Now we have the followin... |
<s>[INST] Find what the sum of the natural numbers is in the range of 6 and 21. [/INST] To find the sum of the natural numbers in the range of 6 and 21, we can use the formula for the sum of an arithmetic series:
Sum = n/2 * (first term + last term)
where n is the number of terms.
First, we need to find the number o... |
<s>[INST] We are trying to pick a class president and a vice president from Jungkook, Jimin, Yoongi, and Yuna. How many possible cases are there? [/INST] To pick a class president and a vice president from Jungkook, Jimin, Yoongi, and Yuna, we need to consider that one person cannot hold both positions. Therefore, we w... |
<s>[INST] The 30 students in Yejin's class have their own attendance numbers from 1 to 30. Among the students in Yejin's class, students wearing short sleeves today are students number 1, 3, 7, 10, 23, and 27, and students number 1, 9, 11, 20, and 23 are wearing short pants today, how many students were wearing short s... |
<s>[INST] When there are 6 students A, B, C, D, E, and F, find the number of ways to select 1 president and 1 secretary. [/INST] To select a president and a secretary from 6 students, we can use the permutation formula since the order of selection matters (the president and secretary are distinct positions).
First, we... |
<s>[INST] 812 divided by a particular number equals 25. Find out the value when that particular number is divided by 4. [/INST] Let's call the particular number "x". According to the problem, 812 divided by x equals 25. We can write this as an equation:
812 / x = 25
To find x, we can multiply both sides of the equati... |
<s>[INST] A necklace is made by attaching 16 pieces of colored paper each 10.4 centimeters (cm) in length, overlapping each other by 3.5 centimeters (cm). How many centimeters (cm) is the total length of the necklace made of colored paper? [/INST] To find the total length of the necklace, we need to consider the overla... |
<s>[INST] There were 7 crates containing 6 bottles of juice each, and I broke the juice bottles in 3 of the crates while moving the crates. How many bottles of juice are left? [/INST] If there were 7 crates containing 6 bottles of juice each, then the total number of bottles of juice before any were broken would be:
7... |
<s>[INST] I made the mistake of multiplying a number by 4, when I should have divided this number by 4. I got 32 from this miscalculation. Find out how much it is if I calculate it correctly. [/INST] If you multiplied the number by 4 and got 32, then the original number is 32 divided by 4, which is 8.
Now, to calculat... |
<s>[INST] Yoongi has 4 apples and Jungkook has 6 plus 3 apples. Who has fewer apples? [/INST] Yoongi has 4 apples.
Jungkook has 6 + 3 = 9 apples.
Therefore, Yoongi has fewer apples than Jungkook. </s> |
<s>[INST] Find A from this formula AB9=459 which is expressed as a three-digit number. [/INST] To find the value of A from the formula AB9 = 459, we need to understand that AB9 represents a three-digit number where A and B are digits, and 9 is already given as the last digit. The number 459 is also a three-digit number... |
<s>[INST] 12 friends, including Yoonseok, are standing as a dodecagon. Every student shook hands once with every friend except for the friend on either side of them. How many handshakes did Yoonseok shake? [/INST] If Yoonseok is standing in a dodecagon with 12 friends, this means there are 12 people in total. Yoonseok ... |
<s>[INST] You would like to buy 2 fruits. If there are 4 types of fruit to choose from, how many ways are there for you to buy?
[/INST] If you are buying 2 fruits and there are 4 types of fruit to choose from, you can calculate the number of ways to buy the fruits using combinations, since the order in which you buy t... |
<s>[INST] A one bundle means 10. If X is comprised of 6 plus 2 bundles, and Y is comprised of 1 plus 4 bundles, what is the sum of X and Y? [/INST] If one bundle means 10, then 2 bundles would be 2 x 10 = 20.
X is comprised of 6 plus 2 bundles, so X = 6 + 20 = 26.
Y is comprised of 1 plus 4 bundles, so 4 bundles woul... |
<s>[INST] What is the average of all natural numbers greater than 28 and less than or equal to 31? [/INST] To find the average of all natural numbers greater than 28 and less than or equal to 31, we first list the numbers in this range: 29, 30, 31.
Next, we add these numbers together:
29 + 30 + 31 = 90
Now, we divide... |
<s>[INST] Minji took the train and Seonkyung took the car. If the car travels 65 kilometers (km) per hour and the train travels 95 kilometers (km) per hour, how long is the distance between Minjin and Seonkyung after 8 hours? [/INST] To find the distance between Minji and Seonkyung after 8 hours, we need to calculate t... |
<s>[INST] When you add 43 to a number, you get 81. What is the result of adding 25 to this number? [/INST] Let's call the unknown number "x". According to the first statement:
43 + x = 81
To find the value of x, we subtract 43 from both sides of the equation:
x = 81 - 43
x = 38
Now, we want to add 25 to this number... |
<s>[INST] Miyoung made a large cube using 8 cube-shaped boxes with a surface area of 96 square centimeters (㎠). What is the volume of this large cube? [/INST] To find the volume of the large cube, we first need to determine the length of one side of the large cube. Since Miyoung used 8 smaller cube-shaped boxes to make... |
<s>[INST] Moving a decimal point to the left by one place makes a particular decimal number 0.72 less than it originally was. Find the original decimal. [/INST] Let's denote the original decimal number as \( x \).
Moving the decimal point to the left by one place is equivalent to dividing the number by 10. So, the new... |
<s>[INST] There are 3 watermelons and 7 apples. How many melons are there when the number of melons is twice the sum of the number of watermelons and apples? [/INST] Let's first find the sum of the number of watermelons and apples.
There are 3 watermelons and 7 apples, so the sum is:
3 (watermelons) + 7 (apples) = 10 ... |
<s>[INST] Hoseok subtracted 7 from a number to get 9, then multiplied this number by 3. What is the result Hoseok would get? [/INST] Let's call the number Hoseok started with "x".
According to the problem, Hoseok subtracted 7 from x to get 9:
x - 7 = 9
To find x, we add 7 to both sides of the equation:
x = 9 + 7
x = ... |
<s>[INST] Find the number B that satisfies 6A5+10B=748, where 6A5 and 10B are three-digit numbers. [/INST] To find the number B that satisfies the equation 6A5 + 10B = 748, we need to consider the place values of the digits in the three-digit numbers.
Let's break down the three-digit numbers:
- The number 6A5 has the... |
<s>[INST] What is the sum of 1.48, 2.32, and 8.45? [/INST] The sum of 1.48, 2.32, and 8.45 is:
1.48 + 2.32 + 8.45 = 12.25 </s> |
<s>[INST] You want to create a three-digit number by drawing three from 0, 2, 4, and 6 and using them only once. Find the sum of the largest and smallest possible numbers. [/INST] To create the largest possible three-digit number using the digits 0, 2, 4, and 6, we need to place the largest digit in the hundreds place,... |
<s>[INST] Moving any decimal point two places to the right increases it by 29.7. Find the original decimal. [/INST] Let's denote the original decimal as \( x \). When you move the decimal point two places to the right, you are essentially multiplying the number by 100. So, the new number after moving the decimal point ... |
<s>[INST] Taehyung solved the workbook with 161 problems for 7 days. Find the average number of problems Taehyung solved per day. [/INST] To find the average number of problems Taehyung solved per day, you divide the total number of problems by the number of days he took to solve them.
Total number of problems = 161
N... |
<s>[INST] There are 4 female students and 3 male students. If one female student and one male student want to be in charge of weekly duty, in how many ways can you choose students to be in charge of weekly duty? [/INST] To choose students to be in charge of weekly duty, we need to select one female student and one male... |
<s>[INST] A number minus 8 equals 5 times 7 plus 12. Find the value of the number. [/INST] Let's call the number we're trying to find "n". According to the statement, we have:
n - 8 = 5 * 7 + 12
First, let's solve the right side of the equation:
5 * 7 = 35
35 + 12 = 47
Now the equation looks like this:
n - 8 = 47
... |
<s>[INST] Mingi's math test covers from page 8 to page 21 of the textbook. How many pages is it in total? [/INST] To find the total number of pages covered in Mingi's math test, you subtract the first page number from the last page number and then add 1 (because you need to include both the first and the last pages in ... |
<s>[INST] Yoongi has 4, and Yuna has 5, and Jungkook has 6 minus 3. Who has the biggest number? [/INST] Jungkook has 6 minus 3, which equals 3. So, Yoongi has 4, Yuna has 5, and Jungkook has 3. Yuna has the biggest number, which is 5. </s> |
<s>[INST] In the swimming competition, my sister crossed the finish line in 51st place, and my grandfather crossed the finish line in 53rd place. I was better than my grandfather but worse than my sister. What is my rank? [/INST] If you were better than your grandfather, you must have finished before him, which means y... |
<s>[INST] What is the sum of 15.58, 21.32, 642.51, and 51.51? [/INST] The sum of 15.58, 21.32, 642.51, and 51.51 is:
15.58
+ 21.32
+ 642.51
+ 51.51
---------
730.92
So, the total sum is 730.92. </s> |
<s>[INST] Yoongi's school has 280 students, 127 of which are female students. Find how many more male students than female students in Yoongi's school. [/INST] To find out how many more male students there are than female students, we first need to determine the number of male students. We can do this by subtracting th... |
<s>[INST] The five numbers 1.4, 9/10, 1.1, 0.5, and 13/10 are written on the blackboard. How many of the numbers written on the board are greater than 0.9? [/INST] To determine how many of the numbers written on the board are greater than 0.9, we need to compare each number to 0.9.
1.4 is greater than 0.9.
9/10 is equ... |
<s>[INST] If there are 5 people, A, B, C, D, and E, find the number of ways to put C and D next to each other. [/INST] To find the number of ways to put C and D next to each other, we can treat C and D as a single unit since they must be together. This effectively reduces the problem to arranging 4 units: A, B, the uni... |
<s>[INST] It is said that water comes out of the faucet at 36.6 liters (L) per minute. It is also said that 2.4 liters (L) of water evaporates per minute. If there were 10 liters (L) of water at the beginning, how many liters (L) will there be after 7 minutes and 45 seconds? [/INST] First, let's convert the time from m... |
<s>[INST] In the three-digit addition expression 7A5+B7C=D38, A through D are different numbers. How much is D? [/INST] To solve for D, we need to analyze the addition expression column by column, starting from the rightmost column (the ones place) and moving to the left.
Let's start with the ones place:
5 + C = 8
Si... |
<s>[INST] There are three numbers: 10, 11 and 12. What is the remainder when you divide the second largest number by the smallest number? [/INST] The second largest number among 10, 11, and 12 is 11. The smallest number is 10.
When you divide 11 by 10, the quotient is 1 and the remainder is 1.
So, the remainder when ... |
<s>[INST] If you divide the chopsticks used by 8 people into 4 groups, how many bundles will you get? [/INST] If 8 people are using chopsticks, we can assume that each person uses a pair of chopsticks. Therefore, 8 people would use 8 pairs of chopsticks.
Now, if we divide these 8 pairs of chopsticks into 4 groups, we ... |
<s>[INST] How many two-digit numbers are there that are between 45 and 54?
[/INST] The two-digit numbers between 45 and 54 are: 46, 47, 48, 49, 50, 51, 52, and 53.
There are 8 two-digit numbers between 45 and 54. </s> |
<s>[INST] Find the number of natural numbers that can be made with three of the number cards 1, 2, 4, 8, and 9. [/INST] To find the number of natural numbers that can be made with three of the number cards 1, 2, 4, 8, and 9, we need to consider all the possible combinations of these numbers taken three at a time. Since... |
<s>[INST] The length of all four sides of a quadrilateral is the same and the sum of the lengths of the four sides is 32. What is the length of one side? [/INST] If all four sides of the quadrilateral are the same length, then it is a square. Since the sum of the lengths of the four sides is 32, you can find the length... |
<s>[INST] How many three-digit integers can be made by drawing 3 out of 6 cards with the numbers 0, 1, 2, 3, 4, and 5 written on them? [/INST] To form a three-digit integer, we need to select 3 cards out of the 6 available. However, since we are forming a three-digit number, the first digit cannot be 0 (as that would m... |
<s>[INST] I made 8640 of (a) items. I put 12 items in each small box, and put 6 of these small boxes in a big box. How many big boxes did I pack in total? [/INST] First, let's find out how many small boxes you made by dividing the total number of items by the number of items in each small box:
8640 items / 12 items pe... |
<s>[INST] A car needs 12.2 liters (L) of gasoline to run 366.8 kilometers (km), and the amount of gasoline in one oil drum is 3 liters (L). How many barrels of oil are needed to drive 533.32 kilometers (km)? [/INST] First, we need to determine the fuel efficiency of the car, which is given by the distance traveled per ... |
<s>[INST] If the horizontal length of the entire figure drawn by attaching several circles with a radius of 4 centimeters (cm) side by side is 24 centimeters (cm), how many circles are drawn? [/INST] If the circles are attached side by side, the horizontal length of the entire figure will be the sum of the diameters of... |
<s>[INST] How many three-digit numbers are there where the sum of all the digits is 12? [/INST] To find the three-digit numbers where the sum of the digits is 12, we need to find all combinations of three digits (from 1 to 9 for the first digit, and 0 to 9 for the second and third digits, since the number must be a thr... |
<s>[INST] For the natural number A, find all sums of A such that 3<2×A<19 [/INST] To find all natural numbers A that satisfy the inequality 3 < 2×A < 19, we first solve for A:
Divide all parts of the inequality by 2 to isolate A:
3/2 < A < 19/2
Since A is a natural number (positive integers), we need to find the int... |
<s>[INST] If the perimeter of a rectangle whose width is 3 centimeters (cm) longer than its length is 54 centimeters (cm), find the length of its width. [/INST] Let's denote the length of the rectangle as L cm and the width as W cm. According to the problem, the width is 3 cm longer than the length, so we can write:
W... |
<s>[INST] Seokgi gave 1/2 of the candies he had to Yeseul, and gave the remaining 1/3 to Dongmin, leaving 12 candies. How many candies did Seokgi originally have at first? [/INST] Let's denote the total number of candies Seokgi originally had as C.
According to the problem, Seokgi gave away 1/2 of his candies to Yeseu... |
<s>[INST] The younger brother is 28 centimeters (cm) shorter than Minkyung, and the father is 35 centimeters (cm) taller than Minkyung. If the father's height is 1 meter (m) 72 centimeters (cm), how tall is the younger brother in centimeters (cm)? [/INST] First, let's convert the father's height to centimeters. Since 1... |
<s>[INST] Yoongi has 5 dogs and 2 cats, respectively. How many dogs and cats do Yoongi have? [/INST] Yoongi has a total of 5 dogs and 2 cats. So, if we add them together, Yoongi has 5 + 2 = 7 pets. </s> |
<s>[INST] There are 40 ducks and 30 rabbits on the farm. Also, the number of hens is 20 more than ducks, and the number of roosters is 10 fewer than rabbits. How many chickens are there in the farm totally? [/INST] First, let's find out the number of hens on the farm. Since the number of hens is 20 more than the number... |
<s>[INST] There are two ways to get to the playground from school. Find the number of cases in which Seung-a, Jeong-hyeok, and Hyeong-jun go from school to the playground. [/INST] To find the number of cases in which Seung-a, Jeong-hyeok, and Hyeong-jun can go from school to the playground, we need to consider the two ... |
<s>[INST] 72 students in total are participating in after-school activities. Of these, one-fourth are taking the after-school English class, and one-third of the students taking the after-school English classes are 6th-grade students. How many 6th-grade students are taking the after-school English class? [/INST] First,... |
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