Q: Noah has two closets. Each closet can fit 1/4 as much as Ali's closet, which can fit 200 pairs of jeans. How many jeans can both Noah’s closets fit?
A: Each of Noah’s closets can fit 200 * 1 / 4 = 50 pairs of jeans. Combined, both his closets can fit 50 * 2 = 100 pairs of jeans. The answer is 100.
Question: June is running for class president. She needs just over 50% of the vote to win. There are 200 students in the school. 60% of students are boys and the rest are girls. If she receives 67.5% of male vote, what is the smallest percentage of the female she must receive to win the election?
Answer: 50% of the vote is 100 votes because 200 x .5 = 100. Just over 50% is 101 votes because 100 + 1 = 101. 120 students are boys because 200 x .6 = 120. 80 students are girls because 200 - 120 = 80. She gets 81 votes from boys because 120 x .675 = 81. She needs 20 votes from girls because 101 - 81 = 20. She needs a proportion of .25 of girl's votes to win because 20 / 80 = .25. The percentage she needs is 25 because 100 x .25 = 25. The answer is 25.
[Question]Bob grew corn in his garden this year and ended up with 50 bushels. This is way too much for him to eat, so he gave some of it away to his friends. His friend Terry took 8 bushels, while Jerry only took 3. He gave 12 bushels to his friend Linda, who runs a food pantry. His neighbor Stacy doesn't eat much corn, but she still accepted 21 ears of corn from him. If each bushel contained 14 ears of corn, how many ears of corn does Bob have left?
[Answer]Stacy took 21 ears of corn, there are 14 ears to a bushel, so she took 21 ears / 14 ears / bushel = 1.5 bushels of corn. In all, Bob gave away 8 bushels + 3 bushels + 12 bushels + 1.5 bushels = 24.5 bushels of corn. This leaves him with 50 bushels - 24.5 bushels = 25.5 bushels of corn. At 14 ears of corn per bushel, Bob has 25.5 bushels * 14 ears per bushel = 357 ears of corn. The answer is 357.
Q: Angela wants to check her math homework answers with her friends, but some of them aren't done yet. Out of 20 problems, Martha has finished 2, Jenna has finished four times the number Martha did minus 2, and Mark has finished half the number Jenna did. If none of the friends worked on any of the same problems, how many problems have no one but Angela finished?
A: Four times the number of problems Martha answered is 4 x 2 = 8. So, Jenna answered 8 - 2 = 6 problems. The number of problems Mark answered is 6 / 2 = 3. The total number of problems Martha, Jenna, and Mark answered is 2 + 6 + 3 = 11. So, this means Angela was able to answer 20 - 11 = 9 problems. The answer is 9.
Question: Arabella is a dance student learning three new steps this session. Her instructor has her spend thirty minutes on learning the first step. The second step she masters in half the time. The third step is more complex, so it takes her as long as both the other steps to learn. How many minutes did she spend learning the three steps?
Answer: Arabella spent 30 / 2 = 15 minutes on the second step. She took 30 + 15 = 45 minutes to learn the third step. Therefore, Arabella spent 30 + 15 + 45 = 90 minutes learning all three steps. The answer is 90.
Q: Kurt's old refrigerator cost $0.85 a day in electricity. He recently bought a new energy-efficient refrigerator that only cost $0.45 a day in electricity. How much money does Kurt save in a 30-day month with his new refrigerator?
A:
The old refrigerator costs $0.85 a day so for 30 days it costs .85 * 30 = $25.50. The new refrigerator costs $0.45 a day so for 30 days it costs .45 * 30 = $13.50. Over 30 days, Kurt saves 25.50 - 13.50 = $12.00 a month with his new refrigerator. The answer is 12.