Reasoning and answer: There were 123 students – 3 single attendees = 120 students in couples. 120 students / 2 in a couple = 60 couples.
The answer: 60
What was the question?
Question: Chalktown High School had their prom last weekend. There were 123 students who attended. If 3 students attended on their own, how many couples came to the prom?


Since one dollar is 100 cents, then 3 dollars is 3 * 100 = 300 cents. The cost for one lollipop is 300 / 12 = 25 cents. One - quarter of the lollipops is 12 / 4 = 3 lollipops. At 25 cents per lollypop, 3 lolly’s cost 3 * 25 = 75 cents.
The answer: 75
Reverse engineering the question: Sarah bought 12 lollipops filled with caramel for a total of 3 dollars. She offered to share one-quarter of the lollipops with her friend, Julie, but Julie insisted on reimbursing Sarah for the cost of the lollipops shared. How much money, in cents, did Julie give Sarah to pay for the shared lollipops?


Reasoning and answer: Tedra harvests 1 / 2 * 400 kg = 200 kg of tomatoes on Thursday. Tedra harvests 2000 kg - 400 kg - 200 kg = 1400 kg of tomatoes on Friday. After giving away tomatoes to his friends, he is left with 1400 kg - 700 kg = 700 kg of tomatoes.
The answer: 700
What was the question?
Question: Tedra is harvesting his tomatoes. He harvests 400 kg on Wednesday, and half as much on Thursday. He harvests a total of 2000 kg on Wednesday, Thursday, and Friday. How many tomatoes of the number he harvested on Friday are remaining if he gives away 700kg of them to his friends?


First find the total time to paint the rose cups: 6 cups / 6 cups / hour = 1 hour. Then find the total time to paint the lily cups: 14 cups / 7 cups / hour = 2 hours. Then add the painting time for each type of cup to find the total painting time: 1 hour + 2 hours = 3 hours. Then divide Gina's total earnings by the number of hours she works to find her hourly wage: $90 / 3 hours = $30 / hour.
The answer: 30
Reverse engineering the question: Gina can paint six cups an hour with roses and 7 cups an hour with lilies. Her Etsy store gets an order for 6 rose cups and 14 lily cups. If Gina gets paid $90 total for the order, how much does she make per hour?


Reasoning and answer: Al weighs 146 + 38 = 184 pounds. Ben weighs 184 - 25 = 159 pounds. Carl weighs 159 + 16 = 175 pounds.
The answer: 175
What was the question?
Question: Al is 25 pounds heavier than Ben. Ben is 16 pounds lighter than Carl. If Ed weighs 146 pounds and is 38 pounds lighter than Al, find the weight of Carl.


Reasoning and answer: The first crane is 14 percent taller because if 200 + 200x = 228 then x = .14. The second crane is 20 percent taller because if 100 + 100x = 120 then x = .2. The third crane is 5 percent taller because if 140 + 140x = 147 then x = .5. The total percent is 39 because 14 + 20 + 5 = 39. The average percent greater the height of the crane is than the building is 13 because 39 / 3 = 13.
The answer: 13
What was the question?
Question:
Derek is watching the construction cranes downtown and is trying to figure out how much taller they have to be than the building they are building. He sees one crane that is 228 feet tall finishing a building that was 200 feet tall. He sees another that is 120 feet tall finishing a building that is 100 feet tall. The final crane he sees is 147 feet tall, finishing a building that is 140 feet tall. On average, what percentage taller are the cranes than the building?