Reasoning and answer: The first garden has 2 tomato plants because 20 x .1 = 2. The second garden has 5 tomato plants because 15 x (1 / 3) = 5. She has 7 tomato plants in total because 2 + 5 = 7. She has 35 plants in total because 20 + 15 = 35. The proportion of tomato plants is .2 because 7 / 35 = .2. The percentage of tomato plants is 20 because .2 x 100 = 20.
The answer: 20
What was the question?
Question: Phyllis has two gardens. In the first garden, she has 20 plants and 10% are tomato plants. In the second garden, she has 15 plants and 1/3 of these plants are tomato plants. What percentage of all the plants in her two gardens are tomato plants?


First figure out how many total flowers Martha is going to buy by dividing her total spending by the price per flower: $2700 / $15 / flower = 180 flowers. Now figure out how many flowers are in each centerpiece by dividing the total number of flowers by the number of centerpieces: 180 flowers / 6 centerpieces = 30 flowers / centerpiece. Now figure out how many orchids are in each centerpiece by multiplying the number of roses per centerpiece by 2: 8 roses / centerpiece * 2 = 16 orchids / centerpiece. Now subtract the number of roses and orchids per centerpiece from the total number of flowers per centerpiece to find the number of lilies per centerpiece: 30 flowers - 16 orchids - 8 roses = 6 lilies.
The answer: 6
Reverse engineering the question: Martha is making centerpieces for her Thanksgiving dinner. There are six centerpieces, and each centerpiece uses 8 roses, twice as many orchids as roses, and a certain number of lilies. If Martha wants to spend $2700 total, and each flower costs $15, how many lilies will she put in each centerpiece?


Reasoning and answer: Since 5 students from each of the 6 math classes have volunteered, there are 5 * 6 = 30 total student volunteers. In addition to the 30 student volunteers, 13 teachers have also volunteered so there are 30 + 13 = 43 total volunteers. Mr. Johnson needs 50 volunteers and currently has 43 volunteers, so he needs 50 - 43 = 7 more volunteers.
The answer: 7
What was the question?
Question: Mr. Johnson is organizing the school Christmas play and needs 50 volunteers to help with decorating the auditorium. 5 students from each of the school’s 6 math classes have volunteered to help. 13 teachers have also volunteered to help. How many more volunteers will Mr. Johnson need?


One week has 7 days. The number of computers produced in 1 week is 1500 * 7 = 10500 computers. The total amount earned selling 1 week of production is 10500 * 150 = $1575000.
The answer: 1575000
Reverse engineering the question: A computer factory produces 1500 computers per day. They sell each computer for $150. If they sold 1 week's worth of production, how much money will the company earn?


Reasoning and answer: Let's assume the number of female attendees is x. The number of male attendees is x + 4. The sum of male attendees and female attendees is x + x + 4 = 120. 2x + 4 = 120. 2x = 116. The number of female attendees is x = 116 / 2 = 58. The number of male attendees is 58 + 4 = 62.
The answer: 62
What was the question?
Question: At a UFO convention, there are 120 conference attendees. If there are 4 more male attendees than female attendees, how many male attendees are there?


Reasoning and answer: After 5 days, Sara has baked 5 days * 10 cakes / day = 50 cakes. After Carol's feast, there are 50 cakes - 12 cakes = 38 cakes remaining. Sara needs 2 cans / cake * 38 cakes = 76 cans of frosting.
The answer: 76
What was the question?
Question:
Every day, Sara bakes 10 cakes and puts them in his refrigerator. He does this for 5 days. Carol then comes over and eats 12 of his cakes. If it takes 2 cans of frosting to frost a single cake, how many cans of frosting does Bob need to frost the remaining cakes?