Some of the pool floats were damaged, which means that 120 / 4 = 30 pool floats were discarded. This left the class with 120 30 = 90 pool floats that were actually part of the donations they need to organize. This means there were a total of 60 basketball hoops + 90 pool floats + 50 footballs + 40 tennis balls = 240 donations that were not basketballs. So out of the donations, there were 300 donations 240 = 60 basketballs. In addition, half of the basketball hoops were donated with a basketball included which amounts to 60 basketball hoops / 2 = 30 basketballs. There was therefore a total of 60 + 30 = 90 basketballs donated.
The answer: 90
Reverse engineering the question: A school is getting ready to open for the year and the sports class is organizing the equipment they have been donated. In total, they have 300 donations to organize. 60 of these were basketball hoops, half of which also had basketballs included as part of the donation. 120 pool floats were donated, but a quarter of these were damaged and were discarded before the sports class arrived. There were 50 footballs, 40 tennis balls, and the remaining donations were basketballs. In total, how many basketballs have been donated?
Reasoning and answer: First find the cost of two slices of bread: $0.15 / slice * 2 slices = $0.30. Then add the cost of one slice each of ham and cheese: $0.30 + $0.25 + $0.35 = $0.90.
The answer: 90
What was the question?
Question: Joe sells ham and cheese sandwiches for $1.50. If a slice of bread costs $0.15, a slice of ham costs $0.25 and a slice of cheese costs $0.35, how many cents does a sandwich with one slice of each protein cost Joe to make?
Of the colored paper, Barbara removed 3 * 2 = 6 sheets of paper. Of the white paper, she removed 2 * 4 = 8 sheets of paper. Of the scrap paper, she removed 5 * 20 = 100 sheets of paper. So in total, Barbara removed 6 + 8 + 100 = 114 sheets of paper.
The answer: 114
Reverse engineering the question: Barbara got a great deal on a new chest of drawers, but she has to take a lot of paper out of the drawers to be able to use it. She found 3 bundles of colored paper, 2 bunches of white paper, and 5 heaps of scrap paper. If a bunch holds 4 sheets of paper, a bundle holds 2 sheets of paper, and a heap holds 20 sheets of paper, how many sheets of paper did Barbara remove from the chest of drawers?
Reasoning and answer: Emma's sister is 7 + 9 = 16 years old. In this many years, Emma's sister will be 56 years old: 56 - 16 = 40 years. When her sister is 56 years old, Emma will be 7 + 40 = 47 years.
The answer: 47
What was the question?
Question: Emma is 7 years old. If her sister is 9 years older than her, how old will Emma be when her sister is 56?
Roberto has received 2 raises. On his first raise he received a 40% bump, therefore his new salary was $80,000 * 140% = $112,000. On his second raise, Roberto received a 20% bump, therefore his current salary is $112,000 * 120% = $134,400.
The answer: 134400
Reverse engineering the question: Roberto recently received a 20% raise from his previous salary, which was already 40% higher than his starting salary. If Roberto's starting salary was $80,000, what is his current salary?
She had 5 + 8 = 13 crayons to start with. She gave out 3 + 1 = 4 crayons to Becky. She will have 13 - 4 = 9 crayons left.
The answer: 9
Reverse engineering the question:
Mary has 5 green crayons and 8 blue crayons of different shades. If she gives out 3 green crayons and 1 blue crayon to Becky, how many crayons does she have left?