[Question]Dianne runs a store that sells books. 37% of her 1000 customers end up returning their books. Her books all cost 15 dollars apiece. How much money does she keep in sales after subtracting the returns?
[Answer]Diane made 1000 * 15 = $15000 in sales because she had 1000 customers each buy a $15 book. 37% of those customers returned their books, so that means she had .37 * 1000 = 370 returns. Each of those returns was for a $15 book, so she had 370 * 15 = $5,550 in returns. For her total leftover income, we subtract the returns from the sales and end up with 15000 - 5550 = $9450 in income. The answer is 9450.
Q: Rob planned on spending three hours reading in preparation for his literature exam. If he ends up spending only three-quarters of this time reading, and he reads a page every fifteen minutes, how many pages did he read in this time?
A: 1 hour is 60 minutes so 3 hours is 3 * 60 = 180 minutes. Three - quarters of 180 minutes is (3 / 4) * 180 = 135 minutes. He spends 15 minutes on 1 page so he will spend 135 minutes on 135 / 15 = 9 pages. The answer is 9.
Question: Melissa is repairing her shoes. For each shoe, it takes her 5 minutes to replace the buckle and 10 minutes to even out the heel. How many minutes does Melissa spend on this project total?
Answer: First find the total time Melissa spends per shoe: 5 minutes + 10 minutes = 15 minutes. Then double that amount because there are 2 shoes: 15 minutes * 2 = 30 minutes. The answer is 30.
[Question]Due to a drought, Jerry's household can only use 1000 gallons of water during July. Jerry uses 100 gallons for drinking and cooking and 20 gallons per shower. He wants to fill his pool, which measures 10 feet by 10 feet by 6 feet. If each gallon of water fills 1 cubic foot of the pool, how many showers can Jerry take in July?
[Answer]First find the total volume of the pool: 10 feet * 10 feet * 6 feet = 600 cubic feet. This is also the number of gallons he needs to fill the pool. Subtract the pool water and the drinking and cooking water from the total amount of water Jerry is allowed to use: 1000 gallons - 600 gallons - 100 gallons = 300 gallons. Then divide the amount of water Jerry has left to use for showers by the amount of water per shower to find how many showers he can take: 300 gallons / 20 gallons / shower = 15 showers. The answer is 15.
Q: Joe had 200 data points on his dataset. He then added 20% more data points to the dataset. If he reduced the data points by 1/4 of the total data points, calculate the total number of data points the dataset contains.
A: When Joe added 20% more data points to the dataset, the data points in the dataset increased by 20 / 100 * 200 = 40 data points. The total number of data points increased to 200 + 40 = 240. If he reduced the data points by 1 / 4 of the total data points, the data points reduced by 1 / 4 * 240 = 60. The total number of data points left in the dataset after Joe reduced the data points by 1 / 4 of the total data points is 240 - 60 = 180. The answer is 180.
Question: Giselle had 20 female doves in a birdhouse. After a month, the doves laid 3 eggs each. If 3/4 of the eggs hatched, calculate the total number of doves Giselle has now.
Answer:
If Giselle had 20 doves that laid 3 eggs each, the total number of eggs in the birdhouse is 20 * 3 = 60 eggs. If 3 / 4 of the eggs hatched into birds, their total number is 3 / 4 * 60 = 45. In the birdhouse, there are 20 initial doves + 45 new squabs = 65 birds. The answer is 65.