It will take her 0.5 miles / 3 mph * (60 minutes / 1 hour) = 10 minutes to run half a mile. It will take her 0.5 miles / 1 mph * (60 minutes / 1 hour) = 30 minutes to walk half a mile. Her total time is 10 + 30 = 40 minutes.
The answer: 40
Reverse engineering the question: Cindy can run at 3 miles per hour and walk at 1 mile per hour. If she runs for half a mile and then walks for half a mile, how many minutes will it take her to travel the full mile?


Reasoning and answer: Clementine baked 72 cookies. Jake baked 72 x 2 = 144 cookies. Tory baked 216 / 2 = 108 cookies. Together they baked 72 + 144 + 108 = 324 cookies. They raised 324 x 2 = $ 648.
The answer: 648
What was the question?
Question: Clementine, Jake, and Tory make cookies for the school bake sale. Clementine baked 72 cookies. Jake baked twice as many cookies as Clementine. Tory baked half as many cookies as Jake and Clementine combined. They sell their cookies for $2 each. If they sell all their cookies, how much money do they make?


Patty used to weigh 100 * 4.5 = 450 pounds. Patty weighs 450 - 235 = 215 pounds after working out. Patty weighs 215 - 100 = 115 more pounds than Robbie.
The answer: 115
Reverse engineering the question: Robbie weighs 100 pounds. Patty was 4.5 times as heavy as Robbie, but she has since lost 235 pounds by working out. How many more pounds does Patty weigh than Robbie now?


Reasoning and answer: Ludo bought 1 / 4 more marbles than Wolfgang, which is 1 / 4 * 16 marbles = 4 marbles. The total number of marbles that Ludo bought is 16 marbles + 4 marbles = 20 marbles. Wolfgang and Ludo purchased a total of 20 marbles + 16 marbles = 36 marbles. If Michael bought 2 / 3 times the total number of marbles bought by Wolfgang and Ludo, he bought 2 / 3 * 36 marbles = 24 marbles. The three friends purchased a total of 24 marbles + 36 marbles = 60 marbles. When they shared the marbles equally, each got 60 marbles / 3 people = 20 marbles / person.
The answer: 20
What was the question?
Question: Three friends Wolfgang, Ludo, and Michael, went to Walmart and bought marbles. Wolfgang bought 16 marbles, Ludo bought 1/4 times more marbles than Wolfgang, and Michael bought 2/3 times as many marbles as the number of marbles both Wolfgang and Ludo bought. If they combined their marbles and decided to share them equally, how many marbles did each get?


In each panel, the metal sheets use 3 metal sheets * 10 metal rods = 30 metal rods. In each panel, the metal beams use 2 metal beams * 4 metal rods = 8 metal rods. So each panel uses 30 + 8 = 38 metal rods. The entire fence therefore needs 38 metal rods * 10 fence panels = 380 metal rods.
The answer: 380
Reverse engineering the question: A community is building a metal fence. Each fence panel is made of 3 metal sheets, and 2 metal beams. The fence is made of 10 fence panels. If each sheet is made of 10 metal rods and each metal beam is made of 4 metal rods, how many metal rods does the community need for the fence?


Ian gave a total of 6 + 9 + 4 = 19 roses. Therefore, Ian kept 20 - 19 = 1 rose.
The answer: 1
Reverse engineering the question:
Ian had twenty roses. He gave six roses to his mother, nine roses to his grandmother, four roses to his sister, and he kept the rest. How many roses did Ian keep?