Peggy has 6 dolls and her grandmother gave her 30 so that’s 6 + 30 = 36 dolls. Over the holidays, Peggy is gifted half the number of dolls her grandmother gave her, so she receives 30 / 2 = 15 more dolls. Peggy had 36 dolls and received another 15 for a total of 36 + 15 = 51 dolls.
The answer: 51
Reverse engineering the question: Peggy has 6 dolls. Her grandmother gives Peggy her own collection of 30 dolls. Over the year, Peggy receives half that amount of dolls between her birthday and Christmas. How many dolls does Peggy now have?


Reasoning and answer: John traveled 10 + 4 = 14 miles to the park. His round trip would take 14 x 2 = 28 miles. If you subtract the 4 miles he walked then John traveled 28 - 4 = 24 miles.
The answer: 24
What was the question?
Question: John skateboarded for 10 miles and then walked another 4 miles to the park. He then skated all the way back home. How many miles has John skateboarded in total?


52 broken shells / 2 = 26 broken shells were spiral. 17 perfect shells - 12 not spiral perfect shells = 5 perfect shells were spiral. There were 26 - 5 = 21 more broken spiral shells than perfect spiral shells.
The answer: 21
Reverse engineering the question: Henry went to the beach and picked up 17 perfect shells and 52 broken shells. Out of those 52 broken shells, half of them were spiral. Out of the 17 perfect shells, 12 of them were not spiral. How many more broken spiral shells were there than perfect spiral shells?


Reasoning and answer: First find his current travel time 600 miles / 50 miles per hour = 12 hours. 12 hours - 4 hours = 8 hours desired travel time. 600 miles / 8 hours = 75 miles per hour. 75 miles per hour - 50 miles per hour = 25 miles per hour faster.
The answer: 25
What was the question?
Question: Kevin is taking a 600-mile trip, traveling at a rate of 50 miles per hour. How much faster must he travel to decrease his travel time by 4 hours?


25% of men at the job don't have a college degree because 100 - 75 = 25. There are 32 men at the company because 8 / .25 = 32. 40% of the employees are men because 100 - 60 = 40. The company has 80 workers because 32 / .4 = 80. There are 48 women at the company because 80 - 32 = 48.
The answer: 48
Reverse engineering the question: At Sarah's job 60% of the employees are women and the rest are men. Of the men, 75% have a college degree and 8 do not. How many women work at Sarah's company?


Her friend will pay $5 x 7 = $35 after 7 days. Her brother will pay $8 x 7 = $56 after 7 days. Her cousin will pay $4 x 7 = $28 after 7 days. Therefore, she will be able to collect $35 + $56 + $28 = $119 after 7 days.
The answer: 119
Reverse engineering the question:
Margaux owns a money lending company. Her friend pays her $5 per day, her brother $8 per day, and her cousin $4 per day. How much money will she collect after 7 days?