Shelby and her mom made 12 bags of buttered popcorn + 10 bags of caramel popcorn = 22 bags. Of those 22 bags, her brother took 3 bags of buttered popcorn + 1 bag of caramel popcorn = 4 bags. So now Shelby has 22 bags 4 bags = 18 bags of popcorn left.
The answer: 18
Reverse engineering the question: Shelby was having a movie party for her birthday. She and her mom made a dozen bags of buttered popcorn and 10 bags of caramel popcorn. Her brother Alan took 3 bags of buttered popcorn and 1 bag of caramel popcorn for his friends. How many bags of popcorn does Shelby have left for the party?
Reasoning and answer: For the box with a capacity of 80, if it was 3 / 4 full with oranges, it had 3 / 4 * 80 = 60 oranges. The second box, with a capacity of 50, was 3 / 5 full with oranges, which totals 3 / 5 * 50 = 30 oranges. Together, the two boxes have 60 + 30 = 90 oranges.
The answer: 90
What was the question?
Question: Two boxes for carrying oranges with a capacity of 80 and 50 were filled with 3/4 and 3/5 of the way full with oranges, respectively. Calculate the total number of oranges the boxes have together.
Caitlin has 528 / 2 = 264 small beads. Each bracelet needs 12 * 2 = 24 small beads. Thus, Caitlin can make 264 / 24 = 11 bracelets for the farmer's market this weekend.
The answer: 11
Reverse engineering the question: Caitlin makes bracelets to sell at the farmer's market every weekend. Each bracelet takes twice as many small beads as it does large beads. If each bracelet uses 12 large beads, and Caitlin has 528 beads with equal amounts of large and small beads, how many bracelets can she make for this weekend?
Reasoning and answer: Genevieve has debugged the program 4300 / 100 = 43 times. Thus, she has fixed 43 * 3 = 129 errors so far.
The answer: 129
What was the question?
Question: Genevieve is a computer programmer working on information security software. She has written 4300 lines of code so far. Every 100 lines of code, she debugs the program. If each debugging only finds three errors, and Genevieve fixes the errors each time before proceeding, how many errors has she fixed so far?
The population increased by 100000 * .6 = 60,000 from births. They lost 2000 * 10 = 20,000 people from emigration. They gained 2500 * 10 = 25,000 people from immigration. That means the net increase from people moving was 25000 - 20000 = 5,000. So the total population is 100,000 + 60,000 + 5,000 = 165,000.
The answer: 165000
Reverse engineering the question: The population of an area starts at 100,000 people. It increases by 60% over 10 years due to birth. In that same time, 2000 people leave per year from emigration and 2500 people come in per year from immigration. How many people are in the area at the end of 10 years?
The total capacity of the 40 chairs was 40 * 2 = 80 people. If 2 / 5 of the chairs were unoccupied, 2 / 5 * 80 = 32 people missed the board meeting since the number of members was the same as the chair's capacity. The number of board members who attended the meeting was 80 - 32 = 48.
The answer: 48
Reverse engineering the question:
In a conference room, 40 chairs with a capacity of 2 people each were arranged in rows in preparation for the board meeting of a company, whose number of members was the same as the chairs' capacity. If 2/5 of the chairs were not occupied, and the rest each had two people, calculate the number of board members who did attend the meeting.