[Question]A state fair charges $5 for a ticket. Two-thirds of the people who buy a ticket will buy deep-fried fair food for $8, one quarter will go on a ride for $4, and one eighth will spend $15 on a souvenir. The fair made $2520 from tickets. How many dollars did they make in all?
[Answer]The fair made $2520 from tickets, so they had 2520 / 5 = 504 people attend the fair. Two - thirds of those people will buy food, so 504 * 2 / 3 = 336 people will buy food. The fair will make 336 * 8 = $2688 from food. A quarter of the people will go on a ride, so 504 / 4 = 126 people will go on a ride. The fair will make 126 * 4 = $504 from rides. An eighth of the people will buy a souvenir, so 504 / 8 = 63 people will buy souvenirs. The fair will make 63 * 15 = $945 from souvenirs. In all, the fair will make 2520 + 2688 + 504 + 945 = $6657. The answer is 6657.
Q: There are 400 students in the senior class at East High School. 52% of the students play sports. Of the students that play sports, 12.5% play soccer. How many students play soccer?
A: The number of students that play sports is 400 * 0.52 = 208 students. The number of students that play soccer is 208 * .125 = 26 students. The answer is 26.
Question: Jerry mows 8 acres of lawn each week. He mows ¾ of it with a riding mower that can cut 2 acres an hour. He mows the rest with a push mower that can cut 1 acre an hour. How long does Jerry mow each week?
Answer: Jerry mows 8 acres x ¾ = 6 acres with a riding mower. It will take him 6 acres / 2 each hour = 3 hours. Jerry mows 8 acres – 6 acres mowed with a riding mower = 2 acres with a push mower. It will take him 2 acres x 1 hour = 2 hours. It takes Jerry a total of 3 hours on the riding mower + 2 hours on the push mower = 5 hours. The answer is 5.
[Question]Brandon has been fired from half the businesses in town and has quit from a third of them. If there are 72 business in town, how many businesses can he still apply to?
[Answer]First divide the total number of businesses by 2 to find how many businesses Brandon hasn't been fired from: 72 businesses / 2 = 36 businesses. Then divide the total number of businesses by 3 to find how many businesses Brandon quit from: 72 businesses / 3 = 24 businesses. Then subtract that number from the number of businesses he hasn't been fired from to find the number of businesses where he can still apply: 36 businesses - 24 businesses = 12 businesses. The answer is 12.
Q: Beatrice is shopping for a new TV. First she looks at 8 TVs at one store in person. Then she looks at three times as many TVs at an online store. She looks at more TVs on an auction site online. If Beatrice looked at 42 TVs in all, how many did look at on the auction site?
A: Beatrice looked at 3 x 8 TVs at an online store = 24 TVs. She looked at 8 TVs in person + 24 TVs online = 32 TVs. Beatrice looked at 42 TVs in all - the 32 she looked at = 10 TVs she looked at on an auction site. The answer is 10.
Question: Darlene's car gets 20 miles/gallon. Martha's car gets half as many miles per gallon as Darlene’s car. How many gallons does Martha’s car require to make a 300-mile trip?
Answer:
Martha’s car gets 20 / 2 = 10 miles per gallon. Total gallons Martha’s car requires is 300 / 10 = 30 gallons. The answer is 30.