Question: Emma traveled by car 280 miles in 2 hours 20 minutes. What was the average speed of the car in miles per hour?
Answer: We first convert the time of 4 hours 20 minutes in minutes 2 hours 20 minutes = 2 × 60 + 20 = 140 minutes. Average speed S is given by distance / time. Hence S = 280 miles / 140 minutes = 2 mile / minute. There are 60 minutes in an hour so the speed is 2 * 60 = 120 miles / hour. The answer is 120.
[Question]Annie is a mother of 3 children: Mark, Matt, and Mike. She decided to give them some fruits. Mike received 3 oranges. Matt got twice as many apples, and Mark got as many bananas as Mike and Matt received fruits altogether. How many fruits do the three children have in total?
[Answer]Mike received 3 oranges. Matt received twice as many apples as Mike received oranges, so he got 3 * 2 = 6 apples. Mark received 6 + 3 = 9 bananas. So in total, all children received 3 + 6 + 9 = 18 fruits. The answer is 18.
Q: For a project, a builder purchased 7 boxes of bolts with each box containing 11 bolts. He purchased 3 boxes of nuts with each box containing 15 nuts. He ended up finishing the project 6 days early and with 3 bolts and 6 nuts left over. How many bolts and nuts did he use for the project?
A: The builder purchased 7 boxes * 11 bolts = 77 bolts. He used 77 bolts - 3 left over = 74 bolts for the project. The builder purchased 3 boxes * 15 nuts = 45 nuts. He used 45 nuts - 6 left over = 39 nuts for the project. Total for the project he used 74 bolts + 39 nuts = 113 nuts and bolts. The answer is 113.
Question: Stacy is a high school Calculus teacher. She assigns 45 problems for homework. There are twice as many multiple choice problems as free response, and 7 more free response than true/false. How many true/false questions are there?
Answer: Let x represent the number of true / false questions. Free response:x + 7. Multiple choice: 2(x + 7) = 2x + 14. Total:x + x + 7 + 2x + 14 = 45. 4x + 21 = 45. 4x = 24. x = 6 true / false questions. The answer is 6.
[Question]The student council sells scented erasers in the morning before school starts to help raise money for school dances. The local bookstore donated 48 boxes of erasers. There are 24 erasers in each box. If the student council sells the erasers for $0.75 each, how much money will they make?
[Answer]There are 48 boxes x 24 erasers = 1,152 erasers. The student council will make 1,152 erasers x $0.75 = $864. The answer is 864.
[Question]Brendan has entered a kickboxing competition and wins matches against multiple contestants. He wins all of the matches in the first 2 rounds, each of which had 6 matches, then wins half of the 4 matches in the last round. How many matches did Brendan win throughout the competition?
[Answer]
In the first 2 rounds, Brendan wins a total of 2 rounds * 6 matches per round = 12 matches. In the last round, Brendan wins half of the matches which is 4 matches / 2 = 2 matches. Throughout the competition, Brendan has therefore won 12 + 2 = 14 matches. The answer is 14.