Sadie ran for 3 miles / hour * 2 hour = 6 miles. Ariana covered a distance of 6 miles / hour * (1 / 2) hour = 3 miles. Sarah ran for 4.5 hours – 2 hours – 0.5 hours = 2 hours. In this time, Sarah traveled a distance of 4 miles / hour * 2 hours = 8 miles. The total distance for the race was 6 miles + 3 miles + 8 miles = 17 miles.
The answer: 17
Reverse engineering the question: Sadie, Ariana and Sarah are running a relay race. Each part of the race is a different length and covers different terrain. It takes Sadie 2 hours to run through the forest at an average speed of 3 miles per hour. Ariana sprints across the open field on her section at 6 miles per hour for half an hour. If Sarah runs along the beach at four miles per hour and their total time for the race is four and half hours, what is the total distance of the race?


Reasoning and answer: Each part is 30 / 6 = 5 meters long. Since Liam used 4 parts, then he used 5 x 4 = 20 meters of the ribbon. So, 30 - 20 = 10 meters of ribbon is not used.
The answer: 10
What was the question?
Question: Isaac cut his 30 meters ribbon into 6 equal parts. He then used 4 parts of the ribbon. How many meters of ribbon are not used?


Roy has 2 x 2 = 4 black pens. Twice the number of black pens is 4 x 2 = 8. So, there are 8 - 2 = 6 red pens. Therefore, Roy has 2 + 6 + 4 = 12 pens in all.
The answer: 12
Reverse engineering the question: Roy has 2 blue pens. He has twice as many black and 2 less than twice as many red than black pens. How many pens does Roy have in all?


Reasoning and answer: He buys 5 pounds of eggplants and 4 pounds of zucchini so he buys 5 + 4 = 9 pounds of produce. These 9 pounds are $2.00 a pound for a total of 9 * 2 = $18.00. He needs 4 pounds of tomatoes that are $3.50 a pound for a total of 4 * 3.50 = $14.00. He needs 3 pounds of onions that are $1.00 a pound so that's 3 * 1 = $3.00. The basil is sold by the half - pound and he needs a full pound so that's 2.50 * 2 = $5.00. The eggplants and zucchinis cost $18.00, the tomatoes are $14.00, the onions are $3.00 and the basil is $5.00 for a total of 18 + 14 + 3 + 5 = $40.00. This recipe makes 4 quarts and the total price of the vegetables was $40.00 so each quart costs 40 / 4 = $10.00.
The answer: 10
What was the question?
Question: Scott wants to make and freeze a large batch of ratatouille. At the farmers' market he buys 5 pounds of eggplants and 4 pounds of zucchini at $2.00 a pound. He needs 4 pounds of tomatoes that are $3.50 a pound. The onions are $1.00 a pound and he needs 3 pounds. Then he needs a pound of basil which is sold for $2.50 per half pound. If this yields 4 quarts, how much does each quart cost?


To finish an audiobook 30 hours long, listening to 2 hours of each audiobook a day, Fernanda took 30 hours / 2 hours / day = 15 days to finish one audiobook. If she purchased 6 audiobooks, the total number of days she will take to finish all the audiobooks is 6 audiobooks * 15 days / audiobook = 90 days.
The answer: 90
Reverse engineering the question: Fernanda purchased six audiobooks from Audible to listen to from her audible app. If each audiobook was 30 hours long and she listened to 2 hours of an audiobook each day, calculate the total time it took her to finish the six audiobooks?


Each trip, they add Caleb’s 7 gallons + Cynthia’s 8 gallons = 15 gallons. Since they are adding 15 gallons every trip, to fill the 105 - gallon pool, it would take 105 / 15 = 7 trips.
The answer: 7
Reverse engineering the question:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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Caleb and Cynthia are filling up their inflatable pool with water using buckets. They fill their buckets at the spigot and carry them to the pool. Caleb can add 7 gallons from his bucket and Cynthia can add 8 gallons from her bucket each trip. It will take 105 gallons to fill the pool. How many trips will it take for Caleb and Cynthia to fill the pool with their buckets?