Since each water bottle has a capacity of 12 liters, when filled up to 3 / 4 of capacity, each carries 3 / 4 * 12 = 9 liters of water. If there are 50 bottles of water in each box, the number of liters the water bottles in a box are carrying is 50 * 9 = 450 liters. In 10 boxes containing bottled water, the total number of liters in the water bottles is 450 * 10 = 4500 liters.
The answer: 4500
Reverse engineering the question: 10 boxes each contain 50 bottles of water. Each bottle has a capacity of 12 liters and is filled up to 3/4 of its capacity. How many liters of water altogether are contained within the bottles in the boxes?


Reasoning and answer: She spent $30 / 2 = $15 on rides. She spent a total of $15 + $5 = $20 including dessert. She has $30 - $20 = $10 left.
The answer: 10
What was the question?
Question: Hannah brought $30 to the county fair. She spent half of it on rides and another $5 on dessert. How much, in dollars, is left?


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: The total percentage of money that Reese spent in February and March is 20% + 40% = 60%. This means the April expenses and the money left in her account make up 100% - 60% = 40% of her savings. Reese had $2900 + $1500 = $4400 for the April expenses and the money left in her account. So, $4400 is equal to 40% which means every 1% is equal to $4400 / 40 = $110. Therefore, Reese originally had $110 x 100 = $11000 in her savings account.
The answer: 11000
What was the question?
Question: Reese had a sum of money in her savings account. The company she used to work with was not doing well which is why she lost her job. So she spent 20% of her savings for her expenses in February, 40% of it in March, and $1500 in April. How much did she have in her savings account if she still has $2900 after spending those amounts?


The cassette tapes will cost 2 × 9 = $18. She spends 18 + 25 = $43 in total. Josie will have 50 - 43 = $7 left.
The answer: 7
Reverse engineering the question: Josie received $50 as a gift. She plans to buy two cassette tapes that cost $9 each and a headphone set that costs $25. How much money will she have left?


First find the total distance the potato flies in yards: 200 yards / field * 6 fields = 1200 yards. Then multiply that number by the number of feet per yard to convert it to feet: 1200 yards * 3 feet / yard = 3600 feet. Then divide that number by the dog's speed to find the number of minutes it has to run to fetch the potato: 3600 feet / 400 feet / minute = 9 minutes.
The answer: 9
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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Ben's potato gun can launch a potato 6 football fields. If a football field is 200 yards long and Ben's dog can run 400 feet/minute, how many minutes will it take his dog to fetch a potato he launches?