First find the total number of strands the two of them can cut per minute: 8 strands + 3 strands = 11 strands. Then divide the total number of strands by the number of strands they cut per minute to find the number of minutes it takes to cut all the strands: 22 strands / 11 strands / minute = 2 minutes.
The answer: 2
Reverse engineering the question: Hannah comes home from work to find her older son taped her younger son to a chair with 22 strands of duct tape. If Hannah can cut 8 strands per minute and her son can cut 3 strands per minute, how long will it take them to free her younger son?


Reasoning and answer: Each of Pam's bags contain 40 * 3 = 120 apples. Pam has 120 * 10 = 1200 apples.
The answer: 1200
What was the question?
Question: Pam has 10 bags of apples. Each of her bags has as many apples as 3 of Gerald's bags. If Gerald's bags have 40 apples each, how many apples does Pam have?


Each person gets 42 cookies / 7 people = 6 cookies. Each person gets 63 pieces of candy / 7 people = 9 pieces of candy. Each person gets 21 brownies / 7 people = 3 brownies. Each person will get 6 + 9 + 3 = 18 desserts.
The answer: 18
Reverse engineering the question: Pat is having a picnic with her family. She has 42 cookies. She also has 63 pieces of candy and 21 brownies. There are 7 people in her family. If each person gets the same number of each dessert, how much will each person get?


Reasoning and answer: The cost of the Lyft ride is $22 - $3 = $19. The original cost of the taxi ride is $19 - $4 = $15. Trevor tips the taxi driver $15 * 0.20 = $3. The total cost of the ride downtown is $15 + $3 = $18.
The answer: 18
What was the question?
Question: Trevor needs to go downtown for a restaurant date. An Uber ride downtown costs $3 more than a Lyft ride. A Lyft ride costs $4 more than a taxi ride. The Uber ride costs $22. If Trevor takes a taxi downtown and tips the taxi driver 20% of the original cost of the ride, what is the total cost of the ride downtown?


3 weeks translate to 3 * 7 days = 21 days. To meet Dr. Juan’s recommendation would mean drinking 105 / 21 = 5 gallons daily. This means that Flora must drink 5 - 3 = 2 more gallons daily.
The answer: 2
Reverse engineering the question: Flora has been experiencing frequent fractures. Dr. Juan has asked her to strengthen her bones by drinking 105 gallons of milk within 3 weeks. Flora thinks that drinking 3 gallons of milk daily will be enough, but her brother says she'll still need to drink more. To fulfill Dr. Juan’s requirement, how many more gallons must Flora drink daily?


After half an hour, the number of balloons that had blown up is 1 / 5 * 200 = 40. The number of balloons that haven't blown up so far is 200 - 40 = 160. In the next hour, 2 * 40 = 80 balloons blow up. The number of balloons that haven't blown up now is 160 - 80 = 80.
The answer: 80
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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A hot air balloon with 200 balloons is blowing up. After about half an hour, 1/5 of the total number of balloons in the hot air balloon have blown up. After another hour, twice the number of balloons that had already blown up also blow up. How many balloons in the hot air balloon remain intact?