Question: Archie holds the school record for most touchdown passes with 89 in a season of 16 games. Richard is close to breaking the record, having averaged 6 touchdowns a game in the first 14 games. How many touchdowns per game must he average in the final two games to beat Archie's record?
Answer: Richard has scored 84 touchdowns because 14 x 6 = 84. To beat the record he must score 90 touchdowns because 89 + 1 = 90. He needs 6 more touchdowns to beat the record because 90 - 84 = 6. He has two games left because 16 - 14 = 2. He needs to average 3 touchdowns a game to beat the record because 6 / 2 = 3. The answer is 3.
[Question]The math teacher would be happy if the class average test score was at least 85. There are 10 students in the class, 5 of which scored a 92 on the test and 4 of which scored an 80. What would the last student have to score to at least make the teacher happy?
[Answer]5 students scored a combined total of 92 * 5 = 460. 4 additional students scored a combined total of 80 * 4 = 320. 9 students therefore scored a combined total of 460 + 320 = 780. We know the total combined score for 10 students must be at least 85 average * 10 students = 850. Therefore, the last student must score at least an 850 - 780 = 70. The answer is 70.
Q: Jamal works at a library shelving books. He has a cart full of books to put away in different sections. In the history section, he shelves 12 books. In the fiction section, he shelves 19 books. In the children’s section, he shelves 8 books but finds 4 that were left in the wrong place that he adds to his cart to shelve elsewhere. He still has 16 books to shelve. How many books did he start with in the cart?
A: Jamal started with B books in the cart. He had B - 12 books after the history section. He had B - 12 - 19 = B - 31 books after the fiction section. He had B - 31 - 8 + 4 = B - 35 books after the children’s section. He still had B - 35 = 16 books to shelve. Thus, he started with B = 16 + 35 = 51 books in the cart. The answer is 51.
Question: Mikaela earns $10 an hour tutoring. For the first month, she tutored for 35 hours and in the second month, she tutored 5 hours more than the first month. She spent 4/5 of her total earnings on her personal needs and saved the rest of the money. How much did she save?
Answer: Mikaela spent 35 + 5 = 40 hours in the second month. So, she tutored a total of 35 + 40 = 75 hours for the first two months. Thus, her total earning was 75 x $10 = $750. And, her total expenses was 4 / 5 x $750 = $600. Therefore, she saved an amount of $750 - $600 = $150. The answer is 150.
[Question]John travels 150 miles in 2 hours. The speed limit is 60 mph. How many mph above the speed limit was he driving?
[Answer]He was driving 150 / 2 = 75 mph. So he was 75 - 60 = 15 mph above the speed limit. The answer is 15.
[Question]A competition has racers competing on bicycles and tricycles to win a grand prize of $4000. If there are 40 people in the race, and 3/5 of them are riding on bicycles, how many wheels do the bicycles and tricycles in the race have combined?
[Answer]
If 3 / 5 of the people in the race are riding bicycles, their number is 3 / 5 * 40 people = 24 people. Since a bicycle has 2 wheels, and 24 people were riding on a bicycle each, the total number of bicycle wheels in the race is 2 wheels / bike * 24 bikes = 48 wheels. The number of racers on tricycles is 40 people - 24 people = 16 people. Since a tricycle has 3 wheels, and 16 people were riding on a tricycle each, the total number of tricycle wheels in the race is 3 wheels / trike * 16 trikes = 48 wheels. The combined total for bicycle and tricycle wheels in the race is 48 wheels + 48 wheels = 96 wheels. The answer is 96.