CodeLlama 34B on 7.NS.A.3-fraction
Common Core Standard 7.NS.A.3-fraction
This standard covers the following:
Solve real-world and mathematical problems involving the four operations with rational numbers.
Problem: Carla has a garden and wants to calculate the amount of cucumbers she will be able to grow. She noticed that the number of cucumbers she could grow per plant was determined by multiplying 22/3 by 22/19. After a few months, she realized that she could grow her production by multiplying the initial amount by 23/17. How many cucumbers is she expecting to grow per plant after adjusting her production method?
CodeLlama 34B:
To calculate the number of cucumbers Carla can grow per plant, she needs to multiply the number of cucumbers she could grow per plant initially by the factor that represents the increase in her production method. Let's break down the problem: 1. Initially, the number of cucumbers Carla could grow per plant was determined by multiplying 22/3 by 22/19. 22/3 = 7 22/19 = 1 So, the initial number of cucumbers Carla could grow per plant was 7 x 1 = 7. 1. After a few months, Carla realized that she could grow her production by multiplying the initial amount by 23/17. 23/17 = 1.35 So, the new number of cucumbers Carla can grow per plant is 7 x 1.35 = 9.45. Therefore, Carla is expecting to grow 9.45 cucumbers per plant after adjusting her production method.
Expected answer: 11132/969
Correct? No
Problem: Pierre has 19/4 kg of grapes. One afternoon, he ate 7/25 kg of them. In the evening, his mother gave him 30/9 kg more grapes. How many kilograms of grapes does Pierre have now?
CodeLlama 34B:
Reasoning: Pierre has 19/4 kg of grapes. He ate 7/25 kg of them. So, he has 19/4 - 7/25 = <<19/4-7/25=12/25>>12/25 kg of grapes left. His mother gave him 30/9 kg more grapes. So, he has 12/25 + 30/9 = <<12/25+30/9=42/25>>42/25 kg of grapes now. ### Answer: 42/25 kg
Expected answer: 2341/300
Correct? No
Problem: King Arthur is calculating the costs for restoring his castle. The wall repairs cost 26/22 of his castle's annual budget. Meanwhile, the moat renovations cost an additional 4/29 of the budget. Finally, installing new defensive catapults takes up an 11/3 portion of the budget. How much (expressed as a fraction of the castle's annual budget) has King Arthur spent on these projects in total?
CodeLlama 34B:
To find the total cost of the projects, we need to add the costs of the wall repairs, moat renovations, and new defensive catapults. The cost of the wall repairs is 26/22 of the castle's annual budget. The cost of the moat renovations is 4/29 of the castle's annual budget. The cost of installing new defensive catapults is 11/3 of the castle's annual budget. To find the total cost, we can add these fractions: 26/22 + 4/29 + 11/3 = 31/22 + 4/29 = 35/22 So, King Arthur has spent 35/22 of his castle's annual budget on these projects.
Expected answer: 4772/957
Correct? No
Problem: A giraffe at the local zoo has a peculiar eating habit. When it is fed 25/19 lbs of acacia leaves, it eats 30/26 times more than what it usually does in a day. If the zoo calculates the weekly feeding amount by multiplying the daily intake by itself (making the result "weekly feeding amount squared") and then multiplying that with the regular daily intake, how many pounds of acacia leaves should they prepare for the giraffe for a week? Calculate ((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26)) and provide your answer.
CodeLlama 34B:
To calculate the weekly feeding amount for the giraffe, we need to follow the steps outlined in the problem: 1. Calculate the daily intake of acacia leaves for the giraffe: Daily intake = 25/19 = 1.32 lbs 2. Calculate the weekly feeding amount by multiplying the daily intake by itself and then multiplying that with the regular daily intake: Weekly feeding amount = ((25/19) * (30/26))^2 * ((25/19) * (30/26)) = (1.32 * 1.15)^2 * (1.32 * 1.15) = 1.52 * 1.52 * 1.32 * 1.15 = 2.47 lbs Therefore, the zoo should prepare 2.47 lbs of acacia leaves for the giraffe for a week.
Expected answer: 52734375/15069223
Correct? No
Problem: Lara wants to make a necklace. The necklace requires (11/3) feet of yarn. She also wants to add smaller beads which will extend the length of the necklace by (8/30) feet. How many feet of materials will Lara need to make the necklace?
CodeLlama 34B:
Reasoning: Lara needs (11/3) + (8/30) = <<11/3+8/30=11/3+2/15=13/15>>13/15 feet of yarn to make the necklace. ### Answer: 13/15
Expected answer: 59/15
Correct? No
Problem: Two planes depart from an airport at the exact same time. Plane A is flying at a speed of 24/11 miles per minute and Plane B is flying at a speed of 26/27 miles per minute. How much farther (in miles) did Plane A travel than Plane B after exactly one minute, assuming they keep flying at a stable speed? Calculate the difference and write your answer as a simplified fraction.
CodeLlama 34B:
Let's first convert the speeds to miles per minute: Plane A: 24/11 = 2.18 miles per minute Plane B: 26/27 = 0.96 miles per minute Now, let's calculate the distance traveled by each plane in one minute: Plane A: 2.18 miles per minute x 1 minute = 2.18 miles Plane B: 0.96 miles per minute x 1 minute = 0.96 miles Now, let's find the difference between the two distances: 2.18 miles - 0.96 miles = 1.22 miles So, Plane A traveled 1.22 miles farther than Plane B after exactly one minute. ### Answer: 1.22 miles
Expected answer: 362/297
Correct? No
Problem: In the wild, an adult bear eats about 14/7 pounds of fish per day. A young bear eats about 25/13 pounds of fish per day. Calculate the combined amount that both bears eat per day by multiplying 14/7 by 25/13.
CodeLlama 34B:
To calculate the combined amount that both bears eat per day, we need to multiply the amount that each bear eats per day. For the adult bear, the amount of fish it eats per day is 14/7 pounds. To simplify this fraction, we can multiply both the numerator and denominator by 7, which gives us 14/7 = 2 pounds per day. For the young bear, the amount of fish it eats per day is 25/13 pounds. To simplify this fraction, we can multiply both the numerator and denominator by 13, which gives us 25/13 = 1.92 pounds per day. Now, to find the combined amount that both bears eat per day, we can multiply the amount that each bear eats per day. So, the combined amount is: 2 pounds/day (adult bear) x 1.92 pounds/day (young bear) = 3.84 pounds/day Therefore, the combined amount that both bears eat per day is 3.84 pounds of fish.
Expected answer: 50/13
Correct? No
Problem: Toby plays guitar. His first song takes 12/8 hours to play and his second song takes 12/3 hours to play. How long does it take Toby to play both of his songs? Write your answer as a simplified fraction.
CodeLlama 34B:
To find the total time it takes Toby to play both songs, we need to add the time it takes to play each song. 12/8 + 12/3 = 24/24 Therefore, it takes Toby 24 hours to play both of his songs.
Expected answer: 11/2
Correct? No
Problem: Suppose you have 28 out of 29 chocolate bars. Then, you found 8 out of 22 more chocolate bars. What fraction represents the total chocolate bars you have now?
CodeLlama 34B:
You have 28 out of 29 chocolate bars, which is equivalent to 28/29. You found 8 out of 22 more chocolate bars, which is equivalent to 8/22. To find the total number of chocolate bars you have now, you need to add the number of chocolate bars you had initially (28/29) to the number of chocolate bars you found (8/22). 28/29 + 8/22 = 36/29 Therefore, the fraction that represents the total number of chocolate bars you have now is 36/29.
Expected answer: 424/319
Correct? No
Problem: A compass maker is creating some specialty compasses. The compass needle is made from a special material. It takes 27/26 of a pound to create one needle. If the maker is trying to produce two identical needles, how much material will he require? After producing the two needles, the maker realizes he needs to produce an additional piece for the compass that requires 27/6 pounds of the material. How much total material will the compass maker need to produce the two needles and the additional piece?
CodeLlama 34B:
To produce two identical needles, the compass maker will need 27/26 + 27/26 = 27/13 pounds of the special material. After producing the two needles, the maker realizes he needs to produce an additional piece for the compass that requires 27/6 pounds of the material. Therefore, the total amount of material the compass maker will need to produce the two needles and the additional piece is 27/13 + 27/6 = 27/4 pounds.
Expected answer: 171/26
Correct? No
Problem: Liam bought a candle that burns at a rate of 6/4 inches per hour. After some time, he bought another candle that burns at a slower rate of 14/16 inches per hour. What is the total rate at which the two candles burn together?
CodeLlama 34B:
To find the total rate at which the two candles burn together, we need to add the rates of the two candles. The rate of the first candle is 6/4 inches per hour, which can be simplified to 3/2 inches per hour. The rate of the second candle is 14/16 inches per hour, which can be simplified to 7/8 inches per hour. To find the total rate, we add the rates of the two candles: 3/2 + 7/8 = 13/8 inches per hour Therefore, the total rate at which the two candles burn together is 13/8 inches per hour.
Expected answer: 19/8
Correct? No
Problem: Sophia has 17/20 of a dollar. Her friend gives her another 1/4 of a dollar. After some time, her brother gives her 1 dollar. How much money does Sophia have now in dollars?
CodeLlama 34B:
Sophia has 17/20 of a dollar, which is equal to 85 cents. Her friend gives her another 1/4 of a dollar, which is equal to 25 cents. So, Sophia now has 85 cents + 25 cents = 110 cents. Her brother gives her 1 dollar. So, Sophia now has 110 cents + 100 cents = 210 cents. Therefore, Sophia has 210 cents, which is equal to 2 dollars.
Expected answer: 21/10
Correct? No
Problem: Imagine you're a music producer who is working on a new song. Your resources are divided into different sections. - First, you dedicate 16/4 hours to composing the music and another 16/29 hours to writing the lyrics. This is your initial time investment for the song (let's call it p). - Then, you spend 28/13 hours for mixing and mastering the song in addition to the initial time investment (let's call this new total time b). - Suddenly, a drummer you hired for a session uses 18/4 hours less because he finished his parts quickly. What is the final time you spent on producing the song, if your total time is expressed as (b - (18 / 4))?
CodeLlama 34B:
To find the final time spent on producing the song, we need to subtract the time saved by the drummer from the total time spent on mixing and mastering. First, let's calculate the time saved by the drummer: 18/4 = 4.5 hours Now, let's subtract this from the total time spent on mixing and mastering: b - (18/4) = 28/13 - 4.5 = 23.5 hours Therefore, the final time spent on producing the song is 23.5 hours.
Expected answer: 1663/754
Correct? No
Problem: Monica has 21/15 dozens of cookies at her bakery shop. Later in the day, she bakes additional 29/17 dozens of cookies to add into her stock. At the end of the day, she decides to increase her total stock of cookies by a ratio of 7/5 for an upcoming cookie festival. How many dozens of cookies will Monica have for the cookie festival?
CodeLlama 34B:
Monica has 21/15 dozens of cookies at her bakery shop. Later in the day, she bakes additional 29/17 dozens of cookies to add into her stock. So, the total number of dozens of cookies that Monica has at the end of the day is: 21/15 + 29/17 = 40/17 dozens of cookies. At the end of the day, Monica decides to increase her total stock of cookies by a ratio of 7/5 for an upcoming cookie festival. So, the number of dozens of cookies that Monica will have for the cookie festival is: 40/17 x 7/5 = 56/17 dozens of cookies. Therefore, Monica will have 56/17 dozens of cookies for the cookie festival.
Expected answer: 1848/425
Correct? No
Problem: In a bakery, a certain cake recipe requires 26/24 kg of sugar per cake. If a chef starts with 28 kg of sugar, how many kilograms of sugar will they have left after making one cake and then adding 10/6 kg of sugar to their supply?
CodeLlama 34B:
To find out how many kilograms of sugar the chef will have left after making one cake and then adding 10/6 kg of sugar to their supply, we need to follow these steps: 1. Determine the amount of sugar needed for one cake: 26/24 kg = 1.083 kg (round up to 1.1 kg) 2. Subtract the amount of sugar needed for one cake from the total amount of sugar the chef has: 28 kg - 1.1 kg = 26.9 kg 3. Add the amount of sugar the chef needs to add to their supply: 26.9 kg + 10/6 kg = 26.9 kg + 1.67 kg = 28.57 kg Therefore, the chef will have 28.57 kg of sugar left after making one cake and then adding 10/6 kg of sugar to their supply. ### Answer: 28.57 kg
Expected answer: 343/12
Correct? No
Problem: On a plane trip, Emily watched a total of 16 / 4 hours of movies. During this time, she spent 6 / 3 hours watching a comedy film. How many hours did she spend watching movies other than the comedy film?
CodeLlama 34B:
Let's start by identifying the information we have: * Emily watched a total of 16 hours of movies. * She spent 6 hours watching a comedy film. We can set up a simple equation to represent this information: 16 - 6 = x Where x is the number of hours Emily spent watching movies other than the comedy film. Solving for x, we get: 16 - 6 = 10 Therefore, Emily spent 10 hours watching movies other than the comedy film.
Expected answer: 2
Correct? No
Problem: Princess Lily was dining at a finely set table and in front of her, two dishes were placed, one with slices of apple pie and the other with slices of blueberry pie. She can eat pie slices endlessly! She ate 10 out of the 12 slices of the apple pie and 10 out of the 29 slices of the blueberry pie. How much of the pies (combined) did she eat? Represent your answer as a fraction.
CodeLlama 34B:
Princess Lily ate a total of 10 + 10 = 20 slices of apple pie and 10 + 10 = 20 slices of blueberry pie. Since there were 12 slices of apple pie and 29 slices of blueberry pie, she ate 20/12 = 1/6 of the apple pie and 20/29 = 1/5 of the blueberry pie. Therefore, she ate a total of 1/6 + 1/5 = 11/30 of the pies (combined).
Expected answer: 205/174
Correct? No
Problem: Marta has a box of colored pencils. She uses 20 of the colored pencils every 11 days on her art projects. However, she only uses about 23 out of every 26 colored pencils for shading techniques. How many colored pencils does Marta use for shading in her art projects over an 11-day period? Evaluate by performing the operation (20 / 11) * (23 / 26) and write your answer as a simplified fraction.
CodeLlama 34B:
To find out how many colored pencils Marta uses for shading in her art projects over an 11-day period, we need to first find out how many colored pencils she uses in total over that period. We know that Marta uses 20 colored pencils every 11 days, so she uses a total of 20 / 11 = 1.82 colored pencils per day. Next, we need to find out how many of those colored pencils she uses for shading. We know that she uses about 23 out of every 26 colored pencils for shading techniques, so she uses 23 / 26 = 0.884 of her colored pencils for shading. Now, we can multiply the number of colored pencils she uses per day by the percentage of those colored pencils she uses for shading to find out how many colored pencils she uses for shading over an 11-day period: 1.82 colored pencils per day x 0.884 percentage of colored pencils used for shading = 1.65 colored pencils per day used for shading Therefore, Marta uses 1.65 colored pencils per day used for shading over an 11-day period. ### Answer: 1.65 colored pencils per day used for shading over an 11-day period.
Expected answer: 230/143
Correct? No
Problem: A police investigator is analyzing two evidence specimens. The first specimen has a unique property that decreases its value by 26 out of every 6 units. The second specimen decreases its value by 25 out of every 17 units. The investigator needs to find the ratio of these changes, referred to as indicator i. Additionally, he needs to figure out a set of changes in another pair of evidence specimens. The first one of this pair increases its value by 18 out of every 8 units and the second one increases its value by 17 out of every 23 units. The investigator has to find the difference between these two rates and refer to it as indicator h. He then combines these two indicators (h and i) by multiplying them to get a final evidence factor, referred to as indicator f. This will help determine the likelihood of a particular suspect’s involvement. Calculate the value of f.
CodeLlama 34B:
To find the ratio of the changes in the first pair of evidence specimens, we need to find the ratio of the decrease in value for each specimen. Let's call the decrease in value for the first specimen "x". Then, the decrease in value for the second specimen is 25/17 \* x. We know that the total decrease in value is 26 out of every 6 units, so we can set up the equation: x + (25/17)x = 26/6 Simplifying and solving for x, we get: x = 26/6 = 4 So, the ratio of the decrease in value for the first pair of evidence specimens is 4:1. To find the difference between the two rates for the second pair of evidence specimens, we need to find the difference between the increases in value for each specimen. Let's call the increase in value for the first specimen "y". Then, the increase in value for the second specimen is 17/8 \* y. We know that the total increase in value is 18 out of every 8 units, so we can set up the equation: y + (17/8)y = 18/8 Simplifying and solving for y, we get: y = 18/8 = 2 So, the difference between the two rates is 2 - 1 = 1. Finally, to find the final evidence factor, we multiply the two indicators (h and i) together. h = 1 i = 4 f = h \* i = 1 \* 4 = 4 So, the final evidence factor is 4. This means that the likelihood of the suspect's involvement is 4 times higher than the baseline rate.
Expected answer: 30719/6900
Correct? No
Problem: In a wildlife park, there are lions and giraffes. During one particular year, the gestation period of a lioness is represented as 20/22 of a year, while a giraffe's gestation period is 15 years. Find the total gestation period of both animals together. Later in the same year, a lioness is pregnant again but this time her gestation period reduces by 15/20 of a year compared to the earlier total gestation period of both animals. How long will it take for the lioness to give birth this second time?
CodeLlama 34B:
To find the total gestation period of both animals together, we need to add the gestation periods of the lioness and the giraffe. Lioness: 20/22 of a year = 0.91 years Giraffe: 15 years Total gestation period: 0.91 + 15 = 15.91 years Now, let's find the gestation period for the second lioness. The gestation period of the second lioness is reduced by 15/20 of a year compared to the earlier total gestation period of both animals. 15.91 - 15/20 = 15.91 - 0.75 = 15.16 years Therefore, it will take the second lioness 15.16 years to give birth.
Expected answer: 667/44
Correct? No
Problem: A rectangle's length is 30/7 meters and its width is 19/6 meters. The area of the rectangle is found by multiplying the length and the width. If a similar rectangle has an area which is 18/17 times bigger than the original rectangle, what is the area of the similar rectangle?
CodeLlama 34B:
Let's first find the area of the original rectangle: Area = length × width = (30/7) × (19/6) = 30 × 19 / 7 × 6 = 570 / 42 Now, let's find the area of the similar rectangle: Area = (18/17) × (570/42) = 18 × 570 / 17 × 42 = 990 / 17 So, the area of the similar rectangle is 990/17.
Expected answer: 1710/119
Correct? No
Problem: A soap factory produces 23/8 tonnes of soap each day. One day, they decided to increase production by an extra 4/20 of a tonne. However, later that same day, they reduce the production by 19/24 of a tonne due to a sudden power cut. How many tonnes of soap does the factory produce that day after these adjustments?
CodeLlama 34B:
Reasoning: 1. The soap factory produces 23/8 tonnes of soap each day. 2. They increase production by an extra 4/20 of a tonne, so the new production is 23/8 + 4/20 = <<23/8+4/20=27/8>>27/8 tonnes of soap per day. 3. Later that same day, they reduce the production by 19/24 of a tonne, so the new production is 27/8 - 19/24 = <<27/8-19/24=8/8>>8/8 tonnes of soap per day. Therefore, the soap factory produces 8 tonnes of soap that day after the adjustments. ### Answer: 8
Expected answer: 137/60
Correct? No
Problem: You have a paint mixing machine that creates specific shades of color. The machine starts by mixing 24/8 gallons of red paint. It then pours away 12/8 gallons of the mix. Let 'd' represent the amount of red paint left in the machine. Finally, the machine adds another 1/28 gallon of blue pigment to lighten the color, subtract that from 'd' to find 'x' in gallons, which is the total amount of paint. Find the value of 'x'.
CodeLlama 34B:
Let's start by finding the amount of red paint left in the machine after pouring away 12/8 gallons. We can do this by subtracting 12/8 gallons from 24/8 gallons: 24/8 - 12/8 = 12/8 gallons So, there are 12/8 gallons of red paint left in the machine. Next, we need to find the amount of blue pigment added to lighten the color. We can do this by subtracting the amount of blue pigment from the total amount of paint: 1/28 gallons - 12/8 gallons = -11/8 gallons So, the machine added -11/8 gallons of blue pigment to lighten the color. Finally, we can find the total amount of paint by adding the amount of red paint left in the machine to the amount of blue pigment added: 12/8 + -11/8 = -1/8 gallons So, the total amount of paint is -1/8 gallons. Therefore, the value of 'x' is -1/8 gallons.
Expected answer: 41/28
Correct? No
Problem: A banana bread recipe requires you to multiply the fractions (27 / 14) and (17 / 13) together to determine how many ounces of mashed bananas you'll need. Compute the product of these fractions and write your answer as a simplified fraction to find out how many ounces are required.
CodeLlama 34B:
To compute the product of the fractions (27/14) and (17/13), we need to multiply the numerators (27 and 17) and multiply the denominators (14 and 13). Then, we simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD). 27/14 × 17/13 = (27 × 17) / (14 × 13) = 459 / 182 To simplify this fraction, we can divide both the numerator and denominator by their GCD, which is 3: 459 / 182 = 153 / 61 Therefore, the product of the fractions (27/14) and (17/13) is 153/61, which is the number of ounces of mashed bananas required for the banana bread recipe.
Expected answer: 459/182
Correct? No
Problem: Sonia uses 21/12 oz of toothpaste to brush her teeth every day. Her brother Anthony uses less toothpaste, just 6/27 oz daily. Add both quantities of toothpaste to get the total daily amount used by Sonia and Anthony. Now, suppose their mom includes an amount of toothpaste for herself to the total - she uses 3/18 oz of toothpaste daily. Add this amount to the total used by Sonia and Anthony to get the final total daily toothpaste usage for the whole family. Solve each fraction separately and give the answer as a simplified fraction.
CodeLlama 34B:
To find the total daily amount of toothpaste used by Sonia and Anthony, we need to add the quantities they use: 21/12 + 6/27 = 27/12 + 6/27 = 33/12 Now, let's add the amount their mom uses to the total: 33/12 + 3/18 = 36/12 + 3/18 = 39/12 Therefore, the final total daily toothpaste usage for the whole family is 39/12.
Expected answer: 77/36
Correct? No
Problem: Let's suppose for a special recipe sandwich, you need to divide a wheel of cheese into 14 equal parts and a pickle jar into 18 equal parts. To make one special sandwich, you need 21 parts of the wheel of cheese and 7 parts from the pickle jar. You've just made these sandwiches and you are down to ((7 / 18) + (21 / 14)) of your original ingredients. Later, you decided to make a simpler version of the sandwich which required half of the wheel of cheese and did not use any pickles. What fraction of the original ingredients do you have left after making the simpler sandwich? Calculate the answer by subtracting (2 / 4) from the fraction you had after making the first sandwich.
CodeLlama 34B:
To find the fraction of the original ingredients left after making the simpler sandwich, we need to subtract the amount of ingredients used in the simpler sandwich from the amount of ingredients left after making the first sandwich. The first sandwich required 21/14 of the wheel of cheese and 7/18 of the pickle jar. So, the fraction of the original ingredients left after making the first sandwich is: (21/14) / (21/14) + (7/18) / (21/14) = 14/21 The simpler sandwich requires half of the wheel of cheese, which is 10/21. So, the fraction of the original ingredients left after making the simpler sandwich is: 14/21 - 10/21 = 4/21 Therefore, after making the simpler sandwich, you have 4/21 of the original ingredients left.
Expected answer: 25/18
Correct? No
Problem: A window washer needs to clean two windows in a large building. The first window is 15/6 meters tall while the other one is 7/16 meters tall. How tall are the windows in total?
CodeLlama 34B:
To find the total height of the windows, we need to add the heights of the two windows. The first window is 15/6 meters tall, which is the same as 15 divided by 6, or 2.5 meters. The second window is 7/16 meters tall, which is the same as 7 divided by 16, or 0.4375 meters. So, the total height of the windows is 2.5 + 0.4375 = 2.9375 meters.
Expected answer: 47/16
Correct? Yes
Problem: Jan is mixing some fruit juices for a party. She mixes 16/6 liters of apple juice with 20/12 liters of orange juice. To add some tartness, she also adds 2/3 liters of cranberry juice. How many liters of juice does she have in total?
CodeLlama 34B:
Reasoning: * 16/6 liters of apple juice is equal to 16/6 = <<16/6=2.67>>2.67 liters of apple juice. * 20/12 liters of orange juice is equal to 20/12 = <<20/12=1.67>>1.67 liters of orange juice. * 2/3 liters of cranberry juice is equal to 2/3 = <<2/3=0.67>>0.67 liters of cranberry juice. Total liters of juice: 2.67 + 1.67 + 0.67 = <<2.67+1.67+0.67=4.97>>4.97 liters. ### Answer: 4.97 liters.
Expected answer: 5
Correct? No
Problem: In a puzzle game, each level gives you 4/3 points. If you have played 13/10 of these levels, how many points have you earned? Standardize your response as a simplified fraction.
CodeLlama 34B:
Reasoning: Each level gives you 4/3 points. You have played 13/10 of these levels. 13/10 = <<13/10=1.3>>1.3 levels. You have earned 1.3 × 4/3 = <<1.3×4/3=1.72>>1.72 points. ### Answer: 1.72
Expected answer: 26/15
Correct? No
Problem: An astronaut on a mission has a routine where he spends 18/8 hours a day cycling on the spaceship's exercise bike and 26/2 hours a day conducting scientific experiments. The total amount of time spent on these activities in a day makes up what he calls his "work". One day he decides to add another activity to his routine around 30/8 hours of reviewing data from the mission so far. He adds this time to his previous "work" routine. How many hours does the astronaut spend on his whole daily routine now?
CodeLlama 34B:
The astronaut spends 18/8 hours cycling and 26/2 hours conducting scientific experiments, for a total of 18 + 26/2 = 18 + 13 = 31/2 hours per day on his routine. If he adds 30/8 hours of reviewing data, he will spend a total of 31/2 + 30/8 = 31/2 + 37/8 = 68/8 hours per day on his routine.
Expected answer: 19
Correct? No
Problem: Jeremy went to a sandwich shop that slices cheese by weight measured in ounces. He ordered slices of cheese that weighed 30/9 ounces in total. However, upon weighing, he found that there was 17/22 ounces less cheese than he requested. Calculate how much cheese he actually received. Use the equation 'd = n - (17 / 22)' to find the answer.
CodeLlama 34B:
Let's start by converting the fraction 30/9 to a decimal. 30/9 = 33/9 Now, let's subtract 17/22 from 33/9. 33/9 - 17/22 = 16/22 So, Jeremy actually received 16/22 ounces of cheese.
Expected answer: 169/66
Correct? No
Problem: Sophia is a researcher who studies sunglasses. She was examining a batch of sunglasses and trying to calculate the average light blocking efficiency. In the first test, she found that 13 out of every 4 sunglasses blocked all UV rays completely, while in the second test, 20 out of every 18 sunglasses also blocked all UV rays. Sophia decided to add these numbers to her total. Next, she added the additional 21 out of 17 sunglasses from another batch that also blocked all UV rays. Later, she realized she made a mistake and needed to subtract the 16 out of 30 sunglasses that actually did not block all UV rays. What is the final corrected number of sunglasses that blocked all UV rays, according to Sophia's tests and calculations? Please give your answer as a simplified fraction.
CodeLlama 34B:
To find the final corrected number of sunglasses that blocked all UV rays, we need to add the numbers from the three tests and then subtract the number of sunglasses that did not block all UV rays. First, let's add the numbers from the three tests: 13/4 + 20/18 + 21/17 = 13 + 10/9 + 21/17 = 24 + 10/9 = 24 + 11/9 Next, let's subtract the number of sunglasses that did not block all UV rays: 24 + 11/9 - 16/30 = 24 + 11/9 - 16/30 = 24 + 11/9 - 1/5 Finally, we can simplify the fraction: 24 + 11/9 - 1/5 = 24 + 11/9 - 1/5 = 24 + 16/9 Therefore, the final corrected number of sunglasses that blocked all UV rays, according to Sophia's tests and calculations, is 24 + 16/9 = 24 + 18/9 = 42/9.
Expected answer: 15493/3060
Correct? No
Problem: Shawn is making sandwiches for a picnic. The recipe for the sandwiches requires different amounts of mayonnaise and sandwich spread. To make a sandwich, Shawn uses 23/28 cups of mayonnaise and 6/9 cups of sandwich spread. How many cups of these two ingredients does Shawn use in total to make a sandwich? While preparing the sandwiches, Shawn realizes that he has to add 18/12 cups of cheese spread to his recipe. Calculate the total amount of ingredients Shawn now needs to make one sandwich which includes mayonnaise, sandwich spread, and cheese spread. Finally, if Shawn has to make an equal number of sandwiches using 4/4 cups of all the ingredients combined, how many cups of ingredients will he use in total to make those sandwiches?
CodeLlama 34B:
To make a sandwich, Shawn uses 23/28 cups of mayonnaise and 6/9 cups of sandwich spread. To find the total amount of these two ingredients used to make a sandwich, we can add the fractions: 23/28 + 6/9 = 29/28 So, Shawn uses 29/28 cups of mayonnaise and sandwich spread to make one sandwich. If Shawn has to add 18/12 cups of cheese spread to his recipe, he will use a total of 29/28 + 18/12 = 47/28 cups of mayonnaise, sandwich spread, and cheese spread to make one sandwich. If Shawn has to make an equal number of sandwiches using 4/4 cups of all the ingredients combined, he will use 4/4 cups of mayonnaise, sandwich spread, and cheese spread for each sandwich. To find the total amount of ingredients he will use, we can multiply the number of sandwiches he needs to make by the amount of ingredients needed for each sandwich: 4/4 cups/sandwich x number of sandwiches = total amount of ingredients If Shawn needs to make 12 sandwiches, he will use 4/4 cups/sandwich x 12 sandwiches = 48/4 cups of ingredients in total.
Expected answer: 251/84
Correct? No
Problem: Cassandra collected keys for a hobby. At first she had a collection equivalent to 7/6 of a key set. After she lost 1/21 of a key set, how many key sets does she have now?
CodeLlama 34B:
Cassandra started with a collection of keys that was equivalent to 7/6 of a key set. This means that she had 7/6 \* 1 = 11/6 key sets. After she lost 1/21 of a key set, she had 11/6 - 1/21 = 10/6 key sets left. Therefore, Cassandra has 10/6 key sets now.
Expected answer: 47/42
Correct? No
Problem: A songwriter is composing a new piece. In the first section, he uses a ratio of 29 notes every 23 measures. In the second section, he uses a ratio of 19 notes every 17 measures. Calculate the difference between the sum of the ratios of the two sections ((29 / 23) + (19 / 17)) and the ratio of a rest, which is equivalent to one whole measure (26/26), used in the third section of his composition.
CodeLlama 34B:
To calculate the difference between the sum of the ratios of the two sections and the ratio of a rest, we need to first calculate the sum of the ratios of the two sections. The sum of the ratios of the two sections is: (29 / 23) + (19 / 17) = 29/23 + 19/17 = 58/40 Now, we need to calculate the ratio of a rest, which is equivalent to one whole measure (26/26). The ratio of a rest is: 26/26 = 1 Now, we can calculate the difference between the sum of the ratios of the two sections and the ratio of a rest: 58/40 - 1 = 18/40 Therefore, the difference between the sum of the ratios of the two sections and the ratio of a rest is 18/40.
Expected answer: 539/391
Correct? No
Problem: You're trying to solve a puzzle that requires you to multiply two fractions together. The fractions are 22/25 and 22/8. Calculate the product to get the answer you need to advance in the puzzle.
CodeLlama 34B:
To multiply two fractions together, you need to follow these steps: 1. Multiply the numerators (the numbers on top) of the two fractions together. 2. Multiply the denominators (the numbers on the bottom) of the two fractions together. 3. Divide the product of the numerators by the product of the denominators. So, in this case, you would multiply 22/25 by 22/8 as follows: 22/25 x 22/8 = (22 x 22) / (25 x 8) = 484 / 200 = 242/100 Therefore, the product of 22/25 and 22/8 is 242/100.
Expected answer: 121/50
Correct? Yes
Problem: James is making a decorative pillow and would like to add a matching border. He needs to calculate the length of border material he will need. The pillow is 23/9 feet long. He had an additional 22/25 feet of length due to the fluffing of the pillow. The total length is then multiplied by 16/13 to account for overlap and corners. Calculate the length of border material James will need for his pillow.
CodeLlama 34B:
To calculate the length of border material James will need, we need to first find the total length of the pillow, including the fluffing. We can do this by adding the length of the pillow to the additional length due to fluffing: 23/9 + 22/25 = 48/25 Next, we need to multiply the total length by 16/13 to account for overlap and corners: 48/25 × 16/13 = 768/325 So, James will need 768/325 feet of border material to complete his pillow.
Expected answer: 12368/2925
Correct? No
Problem: A car travels 21/4 miles every hour. One day, the car was needed to travel an extra 16/13 miles, but due to a detour, it only traveled an additional 1/21 miles. How many more miles was the car supposed to travel in total that day, given that it ran continuously at the same speed? Calculate by multiplying the additional distance needed by the average miles the car travels in an hour.
CodeLlama 34B:
To find the total distance the car was supposed to travel, we need to find the total distance it was supposed to travel in addition to the regular distance it travels. The regular distance the car travels is 21/4 miles per hour, which is equal to 5 miles per hour. The additional distance the car was supposed to travel is 16/13 miles, which is equal to 4.23 miles. The total distance the car was supposed to travel is the sum of the regular distance and the additional distance: 5 miles/hour + 4.23 miles = 9.23 miles/hour Therefore, the car was supposed to travel 9.23 miles/hour in total that day.
Expected answer: 323/52
Correct? No
Problem: In a book publishing company, the manager has to look after various departments. The editing team takes 20/5 hours to edit a manuscript of a book, while the typesetting team needs 18/17 hours to adjust the layout of a page. Some break delay happens that results in a collective loss of 6/15 hours. After these delays and losses, the manager, to compensate, extended the working hours by the same amount of time as the initial time span of the process. On a particular day, they continue to work. What's the total extended time in hours, if you multiply the time required for the entire process and the extended time after the reduction of the lost hours with the initial total time required?
CodeLlama 34B:
Let's break down the problem step by step: 1. The editing team takes 20/5 hours to edit a manuscript of a book, which is 4 hours. 2. The typesetting team needs 18/17 hours to adjust the layout of a page, which is 1.11 hours. 3. Some break delay happens that results in a collective loss of 6/15 hours. 4. After these delays and losses, the manager, to compensate, extended the working hours by the same amount of time as the initial time span of the process. 5. The total time required for the entire process is 4 + 1.11 = 5.11 hours. 6. The extended time after the reduction of the lost hours is 5.11 - 6/15 = 5.11 - 0.4 = 4.71 hours. 7. The total extended time in hours is 5.11 + 4.71 = 9.81 hours. Therefore, the total extended time in hours is 9.81 hours.
Expected answer: 34056/1445
Correct? No
Problem: Jenny plants 13/11 rows of potatoes in her garden. Each row yields approximately 21/3 bushels. If Jenny sells her yield at the farmer's market where each bushel earns her 21/15 dollars, how many dollars will she make in total by selling all her potatoes?
CodeLlama 34B:
To find the total amount of dollars that Jenny will make by selling all her potatoes, we need to first find the total number of bushels she will have. Jenny plants 13/11 rows of potatoes, and each row yields approximately 21/3 bushels. So, the total number of bushels Jenny will have is: 13/11 x 21/3 = 253/33 bushels Since each bushel earns Jenny 21/15 dollars, the total amount of dollars she will make by selling all her potatoes is: 253/33 x 21/15 = 1055/165 dollars Therefore, the total amount of dollars that Jenny will make by selling all her potatoes is 1055/165 dollars.
Expected answer: 637/55
Correct? No
Problem: A jeweler uses 14/28 of a kilogram of gold to craft a certain type of rings. Additionally, he uses 13/26 of a kilogram of silver to design another type of rings. What is the sum of the amount of gold and silver used by the jeweler in kilograms?
CodeLlama 34B:
Reasoning: The jeweler used 14/28 of a kilogram of gold, which is equal to 14/28 x 1000 = <<14/28*1000=500>>500 grams of gold. The jeweler used 13/26 of a kilogram of silver, which is equal to 13/26 x 1000 = <<13/26*1000=500>>500 grams of silver. The total amount of gold and silver used by the jeweler is 500 + 500 = <<500+500=1000>>1000 grams. ### Answer: 1000 grams.
Expected answer: 1
Correct? No
Problem: In a beehive, there are sections for honey storage and bee rearing. Each section is classified into many sub-sections. One day, the beekeeper discovered that each honey storage sub-section had (25 / 9) gallons of honey. He also found the same amount of honey in each bee rearing sub-section. If he combined the honey from both a honey storage sub-section and a bee rearing sub-section, the beekeeper would have a total quantity represented by 'p'. However, one honey storage sub-section had an additional (2 / 26) gallons of honey. So, if the beekeeper was calculating the total amount from this sub-section plus a bee rearing sub-section, the total amount of honey would be defined as 's'. What quantity of honey ('s') would the beekeeper have in total from this scenario?
CodeLlama 34B:
Let's start by identifying the information given in the problem: 1. Each honey storage sub-section has (25/9) gallons of honey. 2. Each bee rearing sub-section has the same amount of honey as a honey storage sub-section. 3. One honey storage sub-section has an additional (2/26) gallons of honey. Now, let's analyze the problem: The beekeeper wants to know the total quantity of honey he would have if he combined the honey from a honey storage sub-section and a bee rearing sub-section. Let's call this quantity 'p'. We know that each honey storage sub-section has (25/9) gallons of honey, so the total quantity of honey in one honey storage sub-section is (25/9) \* (number of honey storage sub-sections) = (25/9) \* (p/25/9) = p. Similarly, the total quantity of honey in one bee rearing sub-section is also p, since each bee rearing sub-section has the same amount of honey as a honey storage sub-section. Now, let's consider the special honey storage sub-section that has an additional (2/26) gallons of honey. If we combine this sub-section with a bee rearing sub-section, the total quantity of honey would be (25/9) + (2/26) = (25/9) + (2/26) \* (25/9) = (25/9) \* (27/26) = p \* (27/26). Therefore, the quantity of honey that the beekeeper would have in total from this scenario is p \* (27/26). So, the answer is: ### Answer: p \* (27/26)
Expected answer: 659/117
Correct? No
Problem: In prehistoric times, a herbivorous dinosaur eats 16/8 bunches of leaves per hour during the day. But at night, it only eats 6/17 bunches of leaves every hour because of reduced visibility. Calculate the total bunches of leaves the dinosaur eats in an hour if it is eating day and night.
CodeLlama 34B:
To calculate the total bunches of leaves the dinosaur eats in an hour, we need to add the number of bunches it eats during the day and the number of bunches it eats at night. During the day, the dinosaur eats 16/8 = 2 bunches of leaves per hour. At night, the dinosaur eats 6/17 = 0.35 bunches of leaves per hour. Therefore, the total bunches of leaves the dinosaur eats in an hour is: 2 + 0.35 = 2.35 bunches of leaves per hour. ### Answer: 2.35 bunches of leaves per hour.
Expected answer: 40/17
Correct? No
Problem: A bear ate 28/6 pounds of fish one day and 21/18 pounds the next day. On the third day, the bear ate 24/22 pounds of fish. How many total pounds of fish did the bear eat in these three days, written as a fraction?
CodeLlama 34B:
Reasoning: Let's first convert all the fractions to decimals. 28/6 = 4.67 21/18 = 1.17 24/22 = 1.1 Now, let's add the decimals: 4.67 + 1.17 + 1.1 = 7.94 So, the bear ate 7.94 pounds of fish in these three days. ### Answer: 7 9/10 pounds of fish.
Expected answer: 457/66
Correct? No
Problem: Heather was preparing a special three-course dinner for her family. For the first course, she had a bread recipe that required 11/17 of a cup of sugar. In addition, she baked a custard for dessert that required another 6/2 cups of sugar. As her family loves sweet dishes, she decided to increase the total quantity of sugar by a factor of 29/21. How many cups of sugar did Heather use in total?
CodeLlama 34B:
Reasoning: Heather used 11/17 of a cup of sugar for the bread recipe. Heather used 6/2 cups of sugar for the custard recipe. Heather used a total of 11/17 + 6/2 = <<11/17+6/2=17/17>>17/17 cups of sugar. Heather increased the total quantity of sugar by a factor of 29/21. Heather used 29/21 x 17/17 = <<29/21*17/17=49/17>>49/17 cups of sugar in total. ### Answer: 49/17
Expected answer: 1798/357
Correct? No
Problem: Ms. Parker, a math teacher, was grading papers and noticed that a student did the calculation ((7 / 8) + (21 / 18)), but she didn't write down the final answer. What is the result of this calculation as a simplified fraction?
CodeLlama 34B:
The calculation ((7 / 8) + (21 / 18)) can be simplified as follows: (7 / 8) = 3/4 (21 / 18) = 7/6 Adding these two fractions gives us: 3/4 + 7/6 = 10/12 The result of this calculation as a simplified fraction is 10/12.
Expected answer: 49/24
Correct? No
Problem: King Arthur is planning a grand feast at his castle. He estimates that each guest will consume 15/7 gallons of water and 15/24 gallons of wine. On the other hand, the royal baker needs 26/20 gallons of milk for each of the cakes he's baking. Calculate the total amount of liquid (v) that will be consumed if the baker's requirement is multiplied by the guests' consumption (i), and then add this to the guests' consumption (v) to find the total amount of liquid (x) needed for the feast.
CodeLlama 34B:
To find the total amount of liquid needed for the feast, we need to calculate the total amount of water and wine consumed by the guests, and then add the amount of milk needed for the cakes. Let's start by calculating the total amount of water and wine consumed by the guests: Total amount of water consumed = 15/7 gallons/guest x number of guests Total amount of wine consumed = 15/24 gallons/guest x number of guests Now, let's calculate the total amount of milk needed for the cakes: Total amount of milk needed = 26/20 gallons/cake x number of cakes Finally, we can add the total amount of water and wine consumed by the guests to the total amount of milk needed for the cakes to find the total amount of liquid needed for the feast: Total amount of liquid needed = Total amount of water consumed + Total amount of wine consumed + Total amount of milk needed Therefore, the total amount of liquid needed for the feast is: Total amount of liquid needed = 15/7 gallons/guest x number of guests + 15/24 gallons/guest x number of guests + 26/20 gallons/cake x number of cakes We can simplify this expression by canceling out the common factors of 7 and 20: Total amount of liquid needed = 15/7 gallons/guest x number of guests + 15/24 gallons/guest x number of guests + 26/20 gallons/cake x number of cakes Total amount of liquid needed = 15/7 gallons/guest x number of guests + 15/24 gallons/guest x number of guests + 26/20 gallons/cake x number of cakes Total amount of liquid needed = 15/7 gallons/guest x number of guests + 15/24 gallons/guest x number of guests + 26/20 gallons/cake x number of cakes Total amount of liquid needed = 15/7 gallons/guest x number of guests + 15/24 gallons/guest x number of guests + 26/20 gallons/cake x number of cakes Total amount of liquid needed = 15/7 gallons/guest x number of guests + 15/24 gallons/guest x number of guests + 26/20 gallons/cake x number of cakes Total amount of liquid needed = 15/7 gallons/guest x number of guests + 15/24 gallons/guest x number of guests + 26/20 gallons/cake x number of cakes Total amount of liquid needed = 15/7 gallons/guest x number of guests + 15/24 gallons/guest x number of guests + 26/20 gallons/cake x number of cakes Total amount of liquid needed = 15/7 gallons/guest x number of guests + 15/24 gallons/guest x number of guests + 26/20 gallons/cake x number of cakes Total amount of liquid needed = 15/7 gallons/guest x number of guests + 15/24 gallons/guest x number of guests + 26/20 gallons/cake x number of cakes Total amount of liquid needed = 15/7 gallons/guest x number of guests + 15/24 gallons/guest x number of guests + 26/20 gallons/cake x number of cakes Total amount of liquid needed = 15/7 gallons/guest x number of guests + 15/24 gallons/guest x number of guests + 26/20 gallons/cake x number of cakes Total amount of liquid needed = 15/7 gallons/guest x number of guests + 15/24 gallons/guest x number of guests + 26/20 gallons/cake x number of cakes Total amount of liquid needed = 15/7 gallons/guest x number of
Expected answer: 713/112
Correct? No
Problem: Teddy is a bear who loves to play with numbers. One day, Teddy was playing with his favorite number, which just so happened to be 30/17. While playing, he saw another number, 18/15, and decided to add it to his favorite number. With this new number in mind, he then saw another, 24/13, and decided to multiply it by his new number. What is Teddy's final number?
CodeLlama 34B:
Teddy's favorite number is 30/17. When he saw the number 18/15, he added it to his favorite number to get 48/32. Then, he saw the number 24/13 and multiplied it by his new number to get 1152/432. Therefore, Teddy's final number is 1152/432.
Expected answer: 6048/1105
Correct? No
Problem: Johnny is building a scooter from scratch. He needs to drill holes into the scooter deck to attach the wheels. The size of each hole should be approximately (20/6) cm in diameter. Unfortunately, his drill bit only has a diameter of (11/21) cm. If he uses his current drill bit, he needs to drill a hole, move it over and drill again to achieve the diameter he needs. If he drills each hole exactly once with his drill bit, calculate what fraction of the desired diameter would each hole have? Don't simplify the fraction, keep as (20/6) * (11 / 21).
CodeLlama 34B:
To calculate the fraction of the desired diameter that each hole would have, we need to divide the diameter of the hole drilled by the desired diameter. Let's first calculate the diameter of the hole drilled: diameter of hole = diameter of drill bit x number of times drilled = (11/21) x 2 = (22/21) Now, let's calculate the fraction of the desired diameter that each hole would have: fraction of desired diameter = diameter of hole / desired diameter = (22/21) / (20/6) = (44/21) / (20/6) = (88/21) / (20/6) = (88/21) x (6/20) = (528/21) / 6 = 26 So, each hole would have a diameter that is approximately 26/6, or 4.33 times the desired diameter.
Expected answer: 110/63
Correct? No
Problem: Aaron has a small model car collection. His favorite car model takes exactly 17/10 hours to assemble. He started assembling a new car model and realized that it was simpler, taking only 12/23 hours to complete. How much less time, in hours, will the second model take than the first one? Write your answer as a simplified fraction or decimal.
CodeLlama 34B:
To find the difference in time, we need to subtract the time it takes to assemble the second model from the time it takes to assemble the first model. 17/10 - 12/23 = 17/10 - 4/23 = 13/10 So, the second model will take 13/10 hours less than the first model to assemble.
Expected answer: 271/230
Correct? No
Problem: Carlos is very handy, and he decided to start a business making and selling chairs. He usually makes each chair using 20/15 units of wood. For a special order, he decided to design a larger, sturdier chair that uses (24/5) times (7/6) units more wood than usual. In total, how many units of wood would Carlos need to make one of these special chairs? Please give your answer in simplest form.
CodeLlama 34B:
To find the total number of units of wood needed to make one of these special chairs, we need to find the least common multiple (LCM) of 20, 15, 24, and 5. The LCM of 20 and 15 is 300. The LCM of 300 and 24 is 1200. The LCM of 1200 and 5 is 6000. Therefore, the total number of units of wood needed to make one of these special chairs is 6000.
Expected answer: 104/15
Correct? No
Problem: Officer Davis was monitoring traffic for speeders. He was measuring the speed of cars passing by him using a radar gun. The gun showed one car was going 13/4 miles per minute. Suddenly, the car slows down and reduces his speed by 14/15 miles per minute. Officer Davis noted down the new speed of the car. Suddenly, the car increased its speed again by 30/15 miles per minute. What was the final speed of the car according to Officer Davis's radar gun?
CodeLlama 34B:
Let's start by converting the speeds to a common unit, such as miles per hour. 13/4 miles per minute is equal to 13/4 x 60 = 15.5 miles per hour. 14/15 miles per minute is equal to 14/15 x 60 = 12.67 miles per hour. 30/15 miles per minute is equal to 30/15 x 60 = 40 miles per hour. So, the car started at 15.5 miles per hour, then slowed down to 12.67 miles per hour, and then sped up to 40 miles per hour. The final speed of the car according to Officer Davis's radar gun is 40 miles per hour. ### Answer: 40 miles per hour.
Expected answer: 259/60
Correct? No
Problem: Jake is trying to figure out how many grapes he can get from a certain vineyard. - The vineyard can usually produce 19/2 baskets of grapes every season. However, due to weather conditions, only 19/29 of the usual amount were produced this season. How many baskets of grapes were produced this season? - But Jake isn't the only one interested in these grapes. He has to share the grapes with others. He gets to keep only 7/11 of the total amount of grapes. How many baskets of grapes does he get? - Out of the grapes that he got, Jake wants to make some grape juice. But he only uses 9/10 of his grapes to make the juice. How many baskets of grapes does he use for the juice?
CodeLlama 34B:
Let's start by finding out how many baskets of grapes were produced this season. The vineyard can usually produce 19/2 baskets of grapes every season, but due to weather conditions, only 19/29 of the usual amount were produced this season. To find out how many baskets of grapes were produced this season, we need to multiply the usual amount by the fraction of the usual amount that was produced. 19/2 x 19/29 = 7/11 So, the vineyard produced 7/11 of the usual amount of baskets of grapes this season. Now, let's find out how many baskets of grapes Jake gets to keep. He gets to keep 7/11 of the total amount of grapes, which is 7/11 of 7/11 of the usual amount of baskets of grapes. 7/11 x 7/11 = 49/121 So, Jake gets to keep 49/121 of the baskets of grapes. Finally, let's find out how many baskets of grapes Jake uses for the grape juice. He uses 9/10 of his grapes to make the juice, so he uses 9/10 of 49/121 of the baskets of grapes. 9/10 x 49/121 = 7/11 So, Jake uses 7/11 of the baskets of grapes to make grape juice.
Expected answer: 22743/6380
Correct? No
Problem: Joel has a grape farm. One day, he picked 9/2 bushels of red grapes and 10/22 bushels of green grapes from his farm. Calculate the total number of bushels of grapes Joel picked that day.
CodeLlama 34B:
To find the total number of bushels of grapes Joel picked, we need to add the number of red grapes he picked to the number of green grapes he picked. 9/2 bushels of red grapes = 9/2 x 2 = 18 bushels 10/22 bushels of green grapes = 10/22 x 2 = 11 bushels Adding these two amounts together gives us the total number of bushels of grapes Joel picked: 18 + 11 = 29 bushels Therefore, Joel picked 29 bushels of grapes that day.
Expected answer: 109/22
Correct? No
Problem: A snowman is constructed by stacking two different sized snowballs on top of each other. The larger snowball at the bottom has a diameter of 17/8 feet, and the smaller snowball on top has a diameter of 1/20 feet. What is the total height of the snowman in feet when these two snowballs are stacked on top of each other?
CodeLlama 34B:
To find the total height of the snowman, we need to add the height of the larger snowball to the height of the smaller snowball. The height of the larger snowball is equal to its diameter, which is 17/8 feet. The height of the smaller snowball is also equal to its diameter, which is 1/20 feet. So, the total height of the snowman is: 17/8 + 1/20 = 19/20 feet Therefore, the total height of the snowman in feet when these two snowballs are stacked on top of each other is 19/20 feet.
Expected answer: 87/40
Correct? No
Problem: In a sandbox, a child splits up 24/7 parts of the sand in a fair way. Later on, another child takes away 2/16 part of the sand. Calculate the remaining part of sand in the sandbox.
CodeLlama 34B:
Reasoning: The first child splits the sand into 24 equal parts. The second child takes away 2/16 of the sand, which is equal to 1/8 of the sand. The remaining part of the sand in the sandbox is 24 - 1/8 = <<24-1/8=23 7/8>>23 7/8. ### Answer: 23 7/8
Expected answer: 185/56
Correct? No
Problem: In the jungle, a lion ate 28/26 of a zebra in one day and 23/9 of a wildebeest the next day. How much less of the zebra did the lion eat compared with the wildebeest? Calculate your answer as a simplified fraction.
CodeLlama 34B:
Let's start by converting the fractions to decimals: 28/26 = 1.11 23/9 = 2.56 Now, let's find the difference between the two fractions: 1.11 - 2.56 = -1.45 The lion ate 1.45 times more of the wildebeest than the zebra. To express this as a simplified fraction, we can write: 1.45 = 7/5 So, the lion ate 7/5 times more of the wildebeest than the zebra.
Expected answer: 173/117
Correct? No
Problem: A chocolate factory makes a batch of chocolate by combining 14/4 kilograms of cocoa and 21/11 liters of milk for every kilogram. How many kilograms of chocolate will the factory produce by combining these ingredients? Calculate your answer to the following expression, ((14 / 4) * (21 / 11)).
CodeLlama 34B:
To find the number of kilograms of chocolate the factory will produce, we need to multiply the number of kilograms of cocoa by the number of liters of milk. First, we need to simplify the fractions: 14/4 = 3.5 kilograms of cocoa 21/11 = 2.0 liters of milk Now, we can multiply the two quantities: 3.5 kilograms of cocoa x 2.0 liters of milk = 7.0 kilograms of chocolate Therefore, the chocolate factory will produce 7.0 kilograms of chocolate by combining these ingredients.
Expected answer: 147/22
Correct? No
Problem: In the tropical rainforest, there are two different species of banana trees. One species produces 12 bananas every 29 days, while another species produces 30 bananas every 10 days. If a day is chosen at random, what is the expected number of bananas that the two species together will have produced on that day? Use the formula ((12 / 29) + (30 / 10)) to calculate the answer.
CodeLlama 34B:
The expected number of bananas produced by the two species together on a given day can be calculated using the formula: Expected number of bananas = (Number of bananas produced by species 1 / Number of days it takes to produce those bananas) + (Number of bananas produced by species 2 / Number of days it takes to produce those bananas) In this case, the number of bananas produced by species 1 is 12, and the number of days it takes to produce those bananas is 29. The number of bananas produced by species 2 is 30, and the number of days it takes to produce those bananas is 10. Plugging in these values, we get: Expected number of bananas = (12 / 29) + (30 / 10) = 0.41 + 3 = 3.41 So, the expected number of bananas produced by the two species together on a given day is 3.41.
Expected answer: 99/29
Correct? No
Problem: A giraffe needs to eat a total of 11/11 ton of acacia leaves plus 26/14 ton of grasses a day. Calculate the total ton of food the giraffe needs to eat in a day.
CodeLlama 34B:
To find the total amount of food the giraffe needs to eat in a day, we need to add the amount of acacia leaves and grasses. 11/11 ton of acacia leaves + 26/14 ton of grasses = 11/11 + 26/14 = 11 + 18/14 = 11 + 12/14 = 23/14 Therefore, the giraffe needs to eat 23/14 ton of food in a day.
Expected answer: 20/7
Correct? No
Problem: A bear spends 18 hours of the day sleeping. Given that each day has 24 hours, this bear spends 18/24th of each day asleep. For 27 days of the month, the bear's activity is tracked. Assume that the bear has a regular sleeping pattern. Calculate the fraction of time the bear has spent sleeping over the 27 days assuming each month has 13 weeks. Your answer should be the result of (18 / 24) * (27 / 13). Write your answer as a decimal.
CodeLlama 34B:
To calculate the fraction of time the bear has spent sleeping over the 27 days, we need to first calculate the total number of hours the bear has spent sleeping over the 27 days. Since the bear spends 18 hours of the day sleeping, and there are 24 hours in a day, the bear spends 18/24th of each day asleep. Therefore, the bear spends 18/24th of 24 hours = 18 hours asleep per day. Over the 27 days, the bear spends 18 hours asleep per day, so the total number of hours the bear has spent sleeping over the 27 days is: 18 hours/day x 27 days = 474 hours Since there are 13 weeks in a month, and each week has 7 days, there are 7 x 13 = 91 days in the month. Therefore, the fraction of time the bear has spent sleeping over the 27 days can be calculated as: 474 hours / 91 days = 5.21 hours/day Therefore, the bear spends approximately 5.21 hours/day sleeping over the 27 days.
Expected answer: 81/52
Correct? No
Problem: In a beautiful forest, the park rangers recorded that 9 out of every 14 trees were pine trees. They also noticed an exceptional occurrence where 19 out of every 2 trees were birches. If you count all the pine trees and birch trees together, what fraction of the trees in the forest are either pine or birch? Use the formula f = ((9 / 14) + (19 / 2)) to solve this.
CodeLlama 34B:
To find the fraction of trees in the forest that are either pine or birch, we need to add the fractions of pine trees and birch trees. Let's start by finding the fraction of pine trees: 9/14 = 0.64 Now, let's find the fraction of birch trees: 19/2 = 9.5 Now, we add the fractions: 0.64 + 9.5 = 10.14 So, the fraction of trees in the forest that are either pine or birch is 10.14.
Expected answer: 71/7
Correct? No
Problem: On planet Zog, aliens use an interesting system to track their energy levels. At the beginning of the day, Zogorian calculates his energy level to be (14 / 2) / (23 / 17) zogs. Later in the day, after harnessing energy from their primary star, his energy level increases by (16 / 24) zogs. Calculate the Zogorian's energy level after the increase.
CodeLlama 34B:
To calculate the Zogorian's energy level after the increase, we need to add the increase to the initial energy level. Initial energy level: (14 / 2) / (23 / 17) zogs = 14 / 39 zogs Increase in energy level: (16 / 24) zogs Total energy level: 14 / 39 zogs + 16 / 24 zogs = 30 / 39 zogs Therefore, the Zogorian's energy level after the increase is 30/39 zogs.
Expected answer: 403/69
Correct? No
Problem: Teddy, the bear, loves to play hide and seek with his friends. One day, he decided to play a game where he hides some number of his stuffed animal friends. Teddy hides 18/11 of his friends in the forest and 8/21 of his friends at the beach. First calculate how many more friends Teddy hides in the forest than at the beach. Let's call this number 'f'. Then square 'f' to find 'n', the total number of hiding spots Teddy needs. How many hiding spots does Teddy need?
CodeLlama 34B:
To find the number of friends Teddy hides in the forest, we need to multiply 18 by 11: 18 x 11 = 198 So, Teddy hides 198 friends in the forest. To find the number of friends Teddy hides at the beach, we need to multiply 8 by 21: 8 x 21 = 168 So, Teddy hides 168 friends at the beach. To find the difference between the number of friends Teddy hides in the forest and at the beach, we subtract the number of friends he hides at the beach from the number of friends he hides in the forest: 198 - 168 = 30 So, Teddy hides 30 more friends in the forest than at the beach. To find the total number of hiding spots Teddy needs, we square the number of friends he hides in the forest: 30^2 = 900 So, Teddy needs 900 hiding spots.
Expected answer: 84100/53361
Correct? No
Problem: A robot is performing a maintenance task. It starts with 25/10 units of energy. However, it quickly uses 27/23 units of energy to complete a series of complex computations. Calculate how much energy it has left.
CodeLlama 34B:
To find out how much energy the robot has left, we need to subtract the amount of energy it used to complete the computations from the total amount of energy it had at the start. Let's first convert the fractions to decimals: 25/10 = 2.5 27/23 = 1.17 Now, we can subtract the amount of energy used from the total amount of energy: 2.5 - 1.17 = 1.33 So, the robot has 1.33 units of energy left.
Expected answer: 61/46
Correct? No
Problem: During rainy weather, a small snail moves at a snail-pace covering 17/21 of a meter in an hour. Another slightly faster snail covers 20/24 of a meter in the same time during such weather. One rainy day, the first snail started an hour earlier than the second. At the time when the second snail began, a third snail that covers 18/17 of a meter per hour also started moving. What is their total distance in meters 1 hour after all three have started moving? Compute the result using the operation ((17 / 21) + (20 / 24)) for the first two snails' distance, and multiply this result by (18 / 17) for the total distance , including the third snail.
CodeLlama 34B:
Let's first calculate the distance covered by the first two snails in one hour: (17/21) + (20/24) = 17/21 + 5/6 = 22/21 Now, let's calculate the distance covered by the third snail in one hour: 18/17 = 11/9 Now, let's add the distances covered by the first two snails and the third snail: (22/21) + (11/9) = 33/21 + 11/9 = 44/21 Therefore, the total distance covered by all three snails in one hour is 44/21 meters.
Expected answer: 207/119
Correct? No
Problem: Johnny had 24/14 of a yard of fabric that he used to make stuffed animals. After creating a few, he found he only had 9/29 of a yard left. He then got a new type of fabric and used 15/2 times the difference of the original and remaining fabric to make more stuffed animals. How many yards of the new fabric did Johnny use?
CodeLlama 34B:
Let's start by identifying the information given in the problem: 1. Johnny had 24/14 of a yard of fabric to make stuffed animals. 2. After creating a few, he found he only had 9/29 of a yard left. 3. He then got a new type of fabric and used 15/2 times the difference of the original and remaining fabric to make more stuffed animals. Now, let's analyze the problem: 1. Johnny had 24/14 of a yard of fabric, which is equal to 16/7 yards. 2. After creating a few stuffed animals, he found he only had 9/29 of a yard left. 3. To find the difference between the original and remaining fabric, we subtract the remaining fabric from the original fabric: 16/7 - 9/29 = 7/7 = 1 yard 4. To find the amount of new fabric used, we multiply the difference by 15/2: 1 x 15/2 = 7.5 yards Therefore, Johnny used 7.5 yards of new fabric to make more stuffed animals.
Expected answer: 4275/406
Correct? No
Problem: In a park, there are some kids lining up for the swings. Part of the waiting line consists of 2/10 of the total number of kids in the park, while another part is made up of 21/4 kids. What is the total number of kids waiting for the swing? Add together 2/10 and 21/4 to find your answer.
CodeLlama 34B:
The total number of kids waiting for the swing is 2/10 + 21/4 = 24/10 + 21/4 = 45/10 = 4 1/2.
Expected answer: 109/20
Correct? No
Problem: An alien spacecraft has 18 fuel tanks out of a total of 30 fuel tanks filled. Each fuel tank can power the spacecraft for 22/6 hours. How many hours of power does the spacecraft currently have? Calculate (18 / 30) * (22 / 6) to find out.
CodeLlama 34B:
To find out how many hours of power the spacecraft currently has, we need to calculate the number of fuel tanks that are filled and the amount of time each fuel tank can power the spacecraft. The spacecraft has 18 fuel tanks filled out of a total of 30 fuel tanks. This means that 18/30 or 60% of the fuel tanks are filled. Each fuel tank can power the spacecraft for 22/6 hours. This means that the spacecraft can be powered for a total of 22/6 \* 60% = 13.2 hours. Therefore, the spacecraft currently has 13.2 hours of power.
Expected answer: 11/5
Correct? No
Problem: A cat is fed twice a day. In the morning, it eats 16/12 of a can of cat food. in the evening, it eats 6/10 of a can. How much of a can in total does the cat eat in one day?
CodeLlama 34B:
Reasoning: The cat eats 16/12 of a can in the morning and 6/10 of a can in the evening. The cat eats a total of 16/12 + 6/10 = <<16/12+6/10=28/10>>28/10 of a can in one day. ### Answer: 28/10
Expected answer: 29/15
Correct? No
Problem: A starfish laid 12 eggs in 3 nests and 11 eggs in 4 other nests. How much is the difference between the average number of eggs per nest for these two groups of nests?
CodeLlama 34B:
To find the difference between the average number of eggs per nest for the two groups of nests, we need to first find the average number of eggs per nest for each group. For the first group of nests, the average number of eggs per nest is 12/3 = 4 eggs per nest. For the second group of nests, the average number of eggs per nest is 11/4 = 2.75 eggs per nest. Now, we can find the difference between the two averages: 4 - 2.75 = 1.25 eggs per nest So, the difference between the average number of eggs per nest for the two groups of nests is 1.25 eggs per nest.
Expected answer: 5/4
Correct? Yes
Problem: A monkey finds a pile of bananas and ends up eating (22 / 7) times (10 / 25) of the pile. Later, he gives (3 / 28) of the pile to his friend. How much of the pile does the monkey have left?
CodeLlama 34B:
Let's start by identifying the information given in the problem: * The monkey finds a pile of bananas. * The monkey eats (22 / 7) times (10 / 25) of the pile. * The monkey gives (3 / 28) of the pile to his friend. Now, let's analyze the information: * The monkey eats (22 / 7) times (10 / 25) of the pile. This means that the monkey eats 22/7 \* 10/25 = 10/25 of the pile. * The monkey gives (3 / 28) of the pile to his friend. This means that the monkey gives 3/28 of the pile to his friend. Now, let's find out how much of the pile the monkey has left: * The monkey has 10/25 - 3/28 = 7/28 of the pile left. Therefore, the monkey has 7/28 of the pile left.
Expected answer: 23/20
Correct? No
Problem: A mouse runs at a speed of 24/20 feet per second. If the mouse runs for 23/2 seconds, how many feet does the mouse run?
CodeLlama 34B:
Reasoning: The mouse runs for 23/2 seconds, which is the same as 11.5 seconds. The mouse runs at a speed of 24/20 feet per second, which is the same as 24/20 x 11.5 = 27.3 feet per second. The mouse runs for 11.5 seconds, so it runs a total distance of 27.3 x 11.5 = 307.95 feet. ### Answer: 307.95 feet.
Expected answer: 69/5
Correct? No
Problem: At a party, the drinks are served in glasses that contain 29/9 ounces of beverage each. If 26/25 of them were consumed, how many ounces of beverage were consumed? Now imagine that the party goers then drink an additional 2/19 ounces of beverages. How many total ounces of beverages were consumed at the party in total?
CodeLlama 34B:
To find the number of ounces of beverage consumed at the party, we need to find the total number of glasses consumed and multiply it by the number of ounces in each glass. Let's start by finding the number of glasses consumed. We know that 26/25 of the glasses were consumed, so we can find the number of glasses by multiplying the fraction by the total number of glasses: 26/25 x 48 = 112/25 So, 112/25 glasses were consumed. Now, let's find the total number of ounces consumed. We know that each glass contains 29/9 ounces of beverage, so we can find the total number of ounces consumed by multiplying the number of glasses consumed by the number of ounces in each glass: 112/25 x 29/9 = 378/25 So, 378/25 ounces of beverage were consumed at the party. Now, let's find the total number of ounces consumed after the additional 2/19 ounces of beverages were consumed. We can do this by adding the number of ounces consumed to the number of ounces consumed: 378/25 + 2/19 = 380/25 So, the total number of ounces of beverage consumed at the party was 380/25.
Expected answer: 14776/4275
Correct? No
Problem: You decide to start a toothbrush collection and you add 7/15 of a new set of toothbrushes to your current collection. Suddenly, a friend gifts you 9 more sets. After grouping everything, you realized you can only fit 26/27 of them in your display case. How many sets of toothbrushes can you fit in your display case?
CodeLlama 34B:
Reasoning: 1. You have 7/15 of a new set of toothbrushes, which is equal to 7/15 \* 100% = <<7/15*100%=\> 46.67%>>46.67% of a new set of toothbrushes in your current collection. 2. Your friend gifts you 9 more sets of toothbrushes, which is equal to 9 \* 100% = <<9*100%=\> 900%>>900%. 3. After grouping everything, you have a total of 46.67% + 900% = <<46.67%+900%=\> 946.67%>>946.67% of toothbrushes. 4. You can fit 26/27 of them in your display case, which is equal to 26/27 \* 100% = <<26/27*100%=\> 96.3%>>96.3% of the toothbrushes in your display case. Therefore, you can fit 96.3% of the toothbrushes in your display case. ### Answer: 96.3%
Expected answer: 3692/405
Correct? No
Problem: Joan has a backpack which weighs 27/20 kilograms when it's empty. She adds a book which weighs 1/6 kilograms. Calculate the total weight of the backpack in kilograms now. Please write the answer as a simplified fraction.
CodeLlama 34B:
To find the total weight of the backpack, we need to add the weight of the book to the weight of the empty backpack. Weight of empty backpack = 27/20 kilograms Weight of book = 1/6 kilograms Total weight of backpack = weight of empty backpack + weight of book = 27/20 + 1/6 = 28/20 kilograms Therefore, the total weight of the backpack is 28/20 kilograms.
Expected answer: 91/60
Correct? No
Problem: A soda company is changing its bottle design. The new design will change the volume of the bottles so that they become (7 / 7) * (25 / 22) times larger. What will be the multiplier of the new bottle compared to the old one?
CodeLlama 34B:
To find the multiplier of the new bottle compared to the old one, we need to find the ratio of the volume of the new bottle to the volume of the old bottle. Let's call the volume of the old bottle "V". Then, the volume of the new bottle is (7/7) * (25/22) * V. To find the multiplier, we can simplify this expression: (7/7) * (25/22) = 3.5 So, the multiplier of the new bottle compared to the old one is 3.5. This means that the new bottle will be 3.5 times larger than the old one.
Expected answer: 25/22
Correct? No
Problem: Turtle Tilly is collecting food for the winter. She has gathered 25/9 kg of sea plants, and she then finds 8/13 kg more. In a close-by rock, she spots another food stash weighing 24/27 kg. After gobbling up these finds, Tilly stumbles upon yet another food source weighing 21/26 kg. If Tilly combines all her found food, how many kilograms does she now have in total? Answer as a simplified fraction.
CodeLlama 34B:
Reasoning: Tilly has gathered a total of 25/9 kg + 8/13 kg + 24/27 kg + 21/26 kg = <<25/9+8/13+24/27+21/26=100/13>>100/13 kg of food. ### Answer: 100/13 kg
Expected answer: 397/78
Correct? No
Problem: Captain Alf undertakes multi-step calculations to ensure the safe navigation of his boat. First, he calculates the difference in his current location and the distance of a nearby island. The distance to the island is 17/2 nautical miles, and his boat is currently 4/2 nautical miles away from the island. Next, Captain Alf adjusts for the tide, which he has estimated to push his boat off course by 14/9 nautical miles. He adds this to his previous calculations. Finally, when considering his fuel efficiency rated at 22/15 nautical miles per gallon, Captain Alf multiplies his adjusted distance by this rate to figure out his fuel requirements. What does Captain Alf’s final calculation come to? Use these steps and corresponding fractions to find your answer.
CodeLlama 34B:
To find Captain Alf's final calculation, we need to follow the steps he took to calculate the distance to the island, adjust for the tide, and calculate his fuel requirements. Step 1: Calculate the distance to the island 17/2 nautical miles - 4/2 nautical miles = 13/2 nautical miles Step 2: Adjust for the tide 13/2 nautical miles + 14/9 nautical miles = 13/2 + 16/9 = 29/6 nautical miles Step 3: Calculate fuel requirements 29/6 nautical miles x 22/15 nautical miles per gallon = 29/6 x 22/15 = 119/15 gallons Therefore, Captain Alf's final calculation comes to 119/15 gallons of fuel required to reach the island.
Expected answer: 319/27
Correct? No
Problem: A forest ranger patrolled 14/3 miles of trails in the morning. In the afternoon, he patrolled 2/18 mile less than what he walked in the morning. How many miles did the forest ranger patrol in the afternoon?
CodeLlama 34B:
Let's start by identifying the information given in the problem: * In the morning, the forest ranger patrolled 14/3 miles of trails. * In the afternoon, he patrolled 2/18 mile less than what he walked in the morning. To find the number of miles the forest ranger patrolled in the afternoon, we need to find the difference between the number of miles he walked in the morning and the number of miles he walked in the afternoon. Let's first convert the fractions to decimals: * 14/3 = 4.67 miles * 2/18 = 0.11 miles Now, let's find the difference between the two numbers: 4.67 - 0.11 = 4.56 miles Therefore, the forest ranger patrolled 4.56 miles of trails in the afternoon.
Expected answer: 41/9
Correct? No
Problem: Arthur practices piano for 20/21 of an hour every day. On weekends, he practices an additional 11/29 of an hour per day. How many hours in total does Arthur spend practicing the piano each day on the weekend?
CodeLlama 34B:
To find the total number of hours Arthur spends practicing the piano each day on the weekend, we need to add the number of hours he practices on weekdays to the number of hours he practices on weekends. Arthur practices piano for 20/21 of an hour every day, which is equivalent to 20/21 \* 24 = 48/21 hours per day. On weekends, Arthur practices for an additional 11/29 of an hour per day, which is equivalent to 11/29 \* 24 = 26/29 hours per day. Therefore, the total number of hours Arthur spends practicing the piano each day on the weekend is 48/21 + 26/29 = 74/29 hours per day.
Expected answer: 811/609
Correct? No
Problem: Lucas has a shirt store. Initially, he had 18 shirts which he divided equally among his 3 siblings. Later, he bought 27 more shirts but wanted to sell them at a higher price, so he decided to keep only 1/19 of those shirts for each sibling. How many more or fewer shirts does each sibling now have as compared to before? Calculate the difference using the expression ((18 / 3) - (27 / 19)) and find out the result.
CodeLlama 34B:
Let's break this down step by step: 1. Initially, Lucas had 18 shirts and divided them equally among his 3 siblings, so each sibling got 18/3 = 6 shirts. 2. Later, Lucas bought 27 more shirts and wanted to sell them at a higher price, so he decided to keep only 1/19 of those shirts for each sibling. This means he kept 27/19 = 1.36 shirts for each sibling. 3. To find out the difference in the number of shirts each sibling now has as compared to before, we need to subtract the number of shirts each sibling had before from the number of shirts each sibling has now. So, the difference in the number of shirts each sibling now has as compared to before is: ((18 / 3) - (27 / 19)) = (6 - 1.36) = 4.64 Therefore, each sibling now has 4.64 more shirts than they had before.
Expected answer: 87/19
Correct? No
Problem: A painter mixed 7 gallons of white paint with 2/5 gallon of blue paint to make a light blue paint. After using 18/4 gallons of the light blue paint for a project, how many gallons does the painter have left?
CodeLlama 34B:
Reasoning: The painter mixed 7 gallons of white paint with 2/5 gallon of blue paint to make a light blue paint. The painter used 18/4 gallons of the light blue paint for a project. The painter has 7 - 18/4 = <<7-18/4=13/4>>13/4 gallons of light blue paint left. ### Answer: 13/4 gallons.
Expected answer: 29/10
Correct? No
Problem: Jayson went to the roller rink and spent 24/7 hours skating on the first day. On the second day, he decided to skate for an additional 30/20 hours. How many hours in total did Jayson spend skate skating over the two days?
CodeLlama 34B:
Jayson spent 24/7 = 3 hours on the first day. Jayson spent an additional 30/20 = 1.5 hours on the second day. Jayson spent a total of 3 + 1.5 = 4.5 hours skate skating over the two days. ### Answer: 4.5 hours.
Expected answer: 69/14
Correct? No
Problem: Dolphins can leap approximately 18/3 feet out of the water. If a dolphin only manages to jump 3/4 of his usual height one day, how high did the dolphin jump?
CodeLlama 34B:
To find the height of the dolphin's jump, we need to first find the usual height of the dolphin's jump. We are given that the dolphin can leap approximately 18/3 feet out of the water. To find the usual height of the dolphin's jump, we can simplify the fraction: 18/3 = 6 So, the usual height of the dolphin's jump is 6 feet. Now, we are given that the dolphin only managed to jump 3/4 of his usual height one day. To find the height of the dolphin's jump on this day, we can multiply the usual height by 3/4: 6 x 3/4 = 9/4 So, the dolphin jumped 9/4 feet on this day.
Expected answer: 9/2
Correct? No
Problem: Callie owns a pen business. Last month, she sold 20 pens for every 15 she produced. At the same time, she sold an additional 16 pens for every 22 she put out for sale. Meanwhile, she found that for every 22 pens she advertised, 27 were interested customers. For each 23 pens she produced this week, she was able to sell 8. What is the result when she multiplies the ratio of last month's sales to production (20/15 + 16/22) and this week's figure for the ratio of interested customers to production (22/27 * 23/8)? Leave your answer as an unsimplified fraction.
CodeLlama 34B:
To find the result, we need to follow these steps: 1. Calculate the ratio of last month's sales to production: 20/15 + 16/22 = 4/3 + 8/11 = 12/11 2. Calculate the ratio of this week's interested customers to production: 22/27 * 23/8 = 13/9 * 23/8 = 13/7 3. Multiply the two ratios: 12/11 * 13/7 = 156/77 Therefore, the result is 156/77.
Expected answer: 391/81
Correct? No
Problem: Consider a band practice session in which a musician played a song for exactly 30 minutes. After dividing this time equally between 15 songs, how much time did they spend on each song? From this average time per song, the band reduced the time spent on a particular song by 1/17 of an hour. Can you calculate the final duration of that song?
CodeLlama 34B:
To calculate the average time per song, we need to divide the total practice time by the number of songs played. In this case, the total practice time is 30 minutes, and the number of songs played is 15. Average time per song = Total practice time / Number of songs played = 30 minutes / 15 songs = 2 minutes per song Now, let's calculate the final duration of the song that was reduced by 1/17 of an hour. Final duration of the song = Average time per song - (1/17 of an hour) = 2 minutes - (1/17 of an hour) = 2 minutes - (1/17 x 60 minutes) = 2 minutes - 3.5 minutes = -1.5 minutes So, the final duration of the song that was reduced by 1/17 of an hour is -1.5 minutes.
Expected answer: 33/17
Correct? No
Problem: Josh rented a scooter for a day. He rode the scooter for a total of 18 hours during the first day. The next day, he rode the scooter for an additional 1/12 of an hour. Later that afternoon, his friend Jack also rented a scooter and rode it for 7/17 of an hour. How many hours did they both ride scooters in total (expressed as a fraction)? Combine the hours they both rode and simplify the fraction to get the answer.
CodeLlama 34B:
Josh rode the scooter for 18 hours in the first day and 1/12 of an hour in the second day, so he rode the scooter for a total of 18 + 1/12 = 18 + 1/12 = <<18+1/12=19>>19 hours. Jack rode the scooter for 7/17 of an hour. The total number of hours they both rode scooters is 19 + 7/17 = <<19+7/17=26>>26 hours. Therefore, they both rode scooters for a total of 26 hours.
Expected answer: 3773/204
Correct? No
Problem: A lamp store owner is doing inventory of all the lamps in his store. He found that he has 4/26 of lamps that are floor lamps, 15/11 that are desk lamps, he also discovered he has 23/28 of table lamps and finally 8/19 of lamps that are decorative. What fraction of his total inventory do these lamps constitute?
CodeLlama 34B:
To find the fraction of the total inventory that these lamps constitute, we need to add the fractions of each type of lamp and then simplify the fraction. Let's start by adding the fractions: 4/26 + 15/11 + 23/28 + 8/19 = 43/26 + 15/11 + 23/28 + 8/19 Now, we can simplify the fraction by finding the least common denominator (LCD) of the fractions. The LCD of 26, 11, 28, and 19 is 1336. So, we can rewrite the fraction as: 43/26 + 15/11 + 23/28 + 8/19 = 43/1336 + 15/1336 + 23/1336 + 8/1336 Now, we can add the fractions: 43/1336 + 15/1336 + 23/1336 + 8/1336 = 89/1336 Therefore, the fraction of the total inventory that these lamps constitute is 89/1336.
Expected answer: 209967/76076
Correct? No
Problem: Oliver has a kite string that is 26/19 meters long and another kite string that is 7/11 meters long. He decides to add these two strings to create an even longer kite string. Later on, he decides to use only 5/8 of this combined string. How long is the kite string that he is using now? Do not simplify your fractions within your calculation.
CodeLlama 34B:
To find the length of the kite string that Oliver is using now, we need to first find the length of the combined string. The length of the first string is 26/19 meters, and the length of the second string is 7/11 meters. To find the length of the combined string, we add these two lengths: 26/19 + 7/11 = 33/19 Now, we need to find 5/8 of this combined length. We can do this by multiplying the length by 5/8: 33/19 × 5/8 = 165/152 So, the length of the kite string that Oliver is using now is 165/152 meters.
Expected answer: 2095/1672
Correct? No
Problem: In a snow fight, Mike threw 9/19 of his snowballs and his friend, John threw 6/8 of his snowballs. After a while, Mike found 4 more snowballs to throw. The question is, if 'u' represents the number of snowballs thrown by both Mike and John and 'j' is the total number of snowballs Mike had after finding more, how many snowballs did Mike have in total? Solve the following equations to find the variable 'j': u = 9/19 + 6/8 j = u + 4/1
CodeLlama 34B:
To find the total number of snowballs Mike had, we need to first find the number of snowballs thrown by both Mike and John. We can do this by adding the number of snowballs thrown by Mike and John: u = 9/19 + 6/8 u = 17/19 Next, we can find the total number of snowballs Mike had by adding the number of snowballs thrown by both Mike and John to the number of snowballs Mike found: j = u + 4/1 j = 17/19 + 4/1 j = 21/19 Therefore, Mike had 21/19 snowballs in total.
Expected answer: 397/76
Correct? No
Problem: In a chocolate factory, one worker packages 26 pieces of chocolate in 18 minutes, while another worker can package 15 pieces of chocolate every 15 minutes. Find out the total amount of chocolate they can package in one minute.
CodeLlama 34B:
Let's start by finding the rate at which the first worker packages chocolate. We know that they package 26 pieces in 18 minutes, so their rate is 26/18 = 1.44 pieces per minute. Now, let's find the rate at which the second worker packages chocolate. We know that they package 15 pieces in 15 minutes, so their rate is 15/15 = 1 piece per minute. To find the total amount of chocolate they can package in one minute, we need to add the rates of both workers. So, the total rate is 1.44 + 1 = 2.44 pieces per minute. Therefore, the total amount of chocolate they can package in one minute is 2.44 pieces.
Expected answer: 22/9
Correct? No
Problem: Yesterday, Joanna washed 24/20 batches of small towels and 25/15 batches of large towels. Find the total number of batches of towels she washed.
CodeLlama 34B:
Let's start by finding the total number of small towels Joanna washed. 24/20 = 12 So, Joanna washed 12 batches of small towels. Next, let's find the total number of large towels Joanna washed. 25/15 = 17 So, Joanna washed 17 batches of large towels. Now, let's add the total number of small towels and large towels to find the total number of batches of towels Joanna washed. 12 + 17 = 29 Therefore, Joanna washed 29 batches of towels in total.
Expected answer: 43/15
Correct? No
Problem: Debra is baking cookies and she realizes she has two different recipes for the same type of cookie. She's wondering if she combines the ingredients from both, if she will end up with even more cookies or not. The first recipe requires (27 / 3) cups flour and (11 / 7) cups sugar. She determines the ratio of flour to sugar by dividing the amount of flour by the amount of sugar. She then subtracts (21 / 26) from this ratio because that's how many cups of sugar her friend says makes the cookies too sweet. After that, she adds (22 / 9) cups of flour from the second recipe to the new ratio to see how many total cups of flour she will need. How many cups of flour will she have in the end?
CodeLlama 34B:
To find the ratio of flour to sugar in the first recipe, we divide the amount of flour by the amount of sugar: (27 / 3) / (11 / 7) = 3/2 Then, we subtract (21 / 26) from this ratio to find the new ratio: 3/2 - (21 / 26) = 3/2 - 0.8 = 2.25 Now, we add (22 / 9) cups of flour from the second recipe to the new ratio to find the total amount of flour needed: 2.25 + (22 / 9) = 2.25 + 2.44 = 4.69 So, Debra will have 4.69 cups of flour in the end.
Expected answer: 18955/2574
Correct? No
Problem: There are 26/13 chickens in one farm and 9/16 chickens in another farm. Farmer John calculated the difference between the number of chickens in the two farms. After a week, the number of chickens multiplied by 19/21 due to new chickens born. How many chickens are there now in Farmer John's farm?
CodeLlama 34B:
Let's start by identifying the information given in the problem: 1. There are 26/13 chickens in one farm. 2. There are 9/16 chickens in another farm. 3. After a week, the number of chickens multiplied by 19/21 due to new chickens born. Now, let's analyze the information: 1. The first farm has 26/13 chickens, which is the same as 26/13 = 26/13 = 2. 2. The second farm has 9/16 chickens, which is the same as 9/16 = 9/16 = 0.5625. 3. After a week, the number of chickens multiplied by 19/21, which means that the number of chickens in the first farm increased by 19/21 - 1 = 18/21, and the number of chickens in the second farm increased by 19/21 - 1 = 18/21. Now, let's find the total number of chickens in Farmer John's farm: Total number of chickens = 2 + 0.5625 = 2.5625 Therefore, there are 2.5625 chickens in Farmer John's farm.
Expected answer: 437/336
Correct? No
Problem: A helicopter traveled a distance of 24/14 miles for a training exercise. During a second exercise, the helicopter flew the same distance. If we let 'w' be the distance flown for each exercise and 't' be the total distance flown for both exercises represented as the product of 'w' times 'w', what is the value of 't'?
CodeLlama 34B:
Let's start by identifying the information given in the problem: * The helicopter flew a distance of 24/14 miles for a training exercise. * During a second exercise, the helicopter flew the same distance. * The total distance flown for both exercises is represented as the product of 'w' times 'w', where 'w' is the distance flown for each exercise. We can start by writing an equation based on the information given: w + w = t where 't' is the total distance flown for both exercises. We know that the distance flown for each exercise is 24/14 miles, so we can substitute this value into the equation: 24/14 + 24/14 = t Simplifying the equation: 48/14 = t Therefore, the value of 't' is 48/14.
Expected answer: 144/49
Correct? No
Problem: A UFO has made two fuel stops. During the first refuel, the UFO was able to fill 20/16 of its fuel tank. At the second fuel stop, the UFO filled another 24/25 of its tank. Calculate the total fraction of the tank that the UFO was able to refill during these two stops.
CodeLlama 34B:
Let's first calculate the fraction of the fuel tank that the UFO was able to fill during the first refuel: 20/16 = 1 3/8 Now, let's calculate the fraction of the fuel tank that the UFO was able to fill during the second refuel: 24/25 = 9/10 To find the total fraction of the fuel tank that the UFO was able to refill during these two stops, we add the fractions: 1 3/8 + 9/10 = 10 11/10 Therefore, the UFO was able to refill 10 11/10 of its fuel tank during these two stops.
Expected answer: 221/100
Correct? No
Problem: Professor Astro is working on his telescope. He believes the power of his telescope is directly proportional to the sum of two fractions. The first fraction is the light gathering power of the lens, which is 24 out of 27. The second fraction is the zooming potential, which is 30 out of 26. So, Professor Astro calculates the sum of these two fractions ((24 / 27) + (30 / 26)). What does he find?
CodeLlama 34B:
Professor Astro calculates the sum of the two fractions as follows: (24/27) + (30/26) = (24/27) + (15/26) = (24/27) + (15/26) + (1/27) = (39/27) + (1/27) = 40/27 So, Professor Astro finds that the power of his telescope is directly proportional to 40/27.
Expected answer: 239/117
Correct? No
Problem: Kiki is a lively little monkey. She loves eating bananas. She ate 11/6 bananas in the morning and the same amount in the afternoon. How many bananas did she eat in total? Express your answer as an improper fraction.
CodeLlama 34B:
Kiki ate 11/6 bananas in the morning and the same amount in the afternoon, so she ate a total of 11/6 + 11/6 = 22/6 bananas. Therefore, Kiki ate 22/6 bananas in total.
Expected answer: 11/3
Correct? Yes
Problem: Jaden is a dairy farmer who milks his cows twice a day. In the morning, his cows give him 26/14 gallons of milk per cow, and in the evening, they give 28/20 gallons of milk per cow. If he multiplies these two fractions together, how much milk is he getting from one cow in one day?
CodeLlama 34B:
To find out how much milk Jaden is getting from one cow in one day, we need to multiply the number of gallons of milk each cow gives in the morning by the number of gallons of milk each cow gives in the evening. In the morning, each cow gives 26/14 gallons of milk, which can be simplified to 17/7 gallons of milk per cow. In the evening, each cow gives 28/20 gallons of milk, which can be simplified to 14/5 gallons of milk per cow. To find out how much milk Jaden is getting from one cow in one day, we need to multiply the number of gallons of milk each cow gives in the morning by the number of gallons of milk each cow gives in the evening. 17/7 x 14/5 = 28/35 gallons of milk per cow per day Therefore, Jaden is getting 28/35 gallons of milk from one cow in one day.
Expected answer: 13/5
Correct? No