She made $2.5 from hitting drums because 10 - 7.5 = 2.5. She hit 200 drums to start making money. She hit 100 drums in order to make the $2.5 because 2.5 / .025 = 100. She hit 300 drums in total because 100 + 200 = 300.
The answer: 300
Reverse engineering the question: Juanita enters a drumming contest. It costs $10 to enter. She has 2 minutes to hit as many drums as she can. If she hits 200 drums, she can start to make money, equal to 2.5 cents for every drum hit. How many drums does she hit if she lost $7.5 for joining the contest?


Reasoning and answer: Altogether, Levi's brother scores 12 + 3 = 15 times. If Levi wants to beat him by 5, he needs to score a total of 15 + 5 = 20 times. Levi needs to score another 20 - 8 = 12 times.
The answer: 12
What was the question?
Question: Levi and his brother were playing basketball. Levi had scored 8 times and his brother had scored 12 times. Levi was determined to beat his brother by at least 5 baskets. How many more times does Levi have to score in order to reach his goal if his brother scores another 3 times?


There are 6 * 3 = 18 brownies in total. Each person can eat 18 / 6 = 3 brownies.
The answer: 3
Reverse engineering the question: Frank invites his friends over to play video games. He bakes a pan of brownies before he arrives. He cuts 6 even columns and 3 even rows into the pan of brownies. If there are 6 people, including Frank, in total, how many brownies can they each eat?


Reasoning and answer: To have five 3 - piece sets, he needs to have a total of 5 * 3 = 15 shoes,. If he already owns three shoes, then he needs to buy 15 - 3 = 12 additional shoes. Since each pair of shoes includes two shoes, he needs to buy a total of 12 / 2 = 6 pairs of shoes.
The answer: 6
What was the question?
Question: Codger is a three-footed sloth. He has a challenging time buying shoes because the stores only sell the shoes in pairs. If he already owns the 3-piece set of shoes he is wearing, how many pairs of shoes does he need to buy to have 5 complete 3-piece sets of shoes?


After Smith gave him $200, Randy had 3000 + 200 = 3200 dollars. The value of the rest of the money is 3200 - 1200 = 2000 dollars.
The answer: 2000
Reverse engineering the question: Randy had $3,000. Smith gave him another $200. Randy then gave Sally $1,200 and kept the rest. What was the value, in dollars, of the rest?


Kelly gives Bingley 16 / 4 = 4 bracelets. Bingley has 5 + 4 = 9 bracelets. Bingley gives his little sister 9 / 3 = 3 bracelets. In the end, Bingley has 9 - 3 = 6 bracelets remaining.
The answer: 6
Reverse engineering the question:
Bingley has 5 bracelets. Kelly gives Bingley a fourth of her 16 bracelets. Then Bingley gives a third of his bracelets to his little sister. How many bracelets does Bingley have remaining?