[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: Mel is three years younger than Katherine. When Katherine is two dozen years old, how old will Mel be in years?
A: When Katherine is 2 dozen years old, she will be 2 * 12 = 24 years old. If Mel is three years younger than Katherine, then when Katherine is 24 years old, Mel will be 24 - 3 = 21 years old. The answer is 21.
Question: The sum of the ages of two friends, Alma and Melina, is twice the total number of points Alma scored in a test. If Melina is three times as old as Alma, and she is 60, calculate Alma's score in the test?
Answer: If Melina is three times as old as Alma, and she is 60, Alma is 60 / 3 = 20 years old. The sum of their ages is 60 + 20 = 80 years. Since the sum of Alma and Melina's age is twice the total number of points Alma scored in a test, Alma's score in the test was 80 / 2 = 40 points. The answer is 40.
[Question]Alexandra bought 8 magazines at the bookstore on Friday. On Saturday, she went back and bought 12 more. Sunday morning, she saw that the store was having a sale and she bought four times the number of magazines she did on Friday. Later that day she discovered that her dog had chewed up 4 of the magazines. How many magazines does she have now?
[Answer]By adding Friday and Saturday, Alexandra bought 12 + 8 = 20 magazines. On Sunday she buys 8 * 4 = 32 magazines. Before her dog got to them she had 12 + 8 + 32 = 52 magazines. After her dog chewed up some she had 52 - 4 = 48 magazines. The answer is 48.
Q: Cindy can jump rope for 12 minutes before tripping up on the ropes. Betsy can jump rope half as long as Cindy before tripping up, while Tina can jump three times as long as Betsy. How many more minutes can Tina jump rope than Cindy?
A: Betsy jumps half as long as Cindy, who jumps for 12 minutes so Betsy jumps 12 / 2 = 6 minutes. Tina jumps three times as long as Betsy, who jumps for 6 minutes so Tina jumps 3 * 6 = 18 minutes. Tina can jump for 18 minutes and Cindy and jump for 12 minutes so Tina can jump 18 - 12 = 6 minutes longer. The answer is 6.
Question: The journey from Abel's house to Alice's house is 35 miles and is divided into 5 equal portions. Abel is driving at a speed of 40 miles per hour. After traveling for 0.7 hours, how many portions of the journey has he covered?
Answer:
35 miles into 5 equal portions will be 35 / 5 = 7 miles each. Abel traveled at a speed of 40 miles per hour for 0.7 hours so he will cover 40 * 0.7 = 28 miles. 7 miles make a portion so 28 miles is equivalent to 28 / 7 = 4 portions. The answer is 4.