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?
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 is 20.
[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?
[Answer]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 is 6.
Q: 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?
A: 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 is 7.
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?
Answer: 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 is 1575000.
[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?
[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 is 62.
[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?
[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 is 76.