[Question]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?
[Answer]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.
Q: Sarah interviewed 450 students at her school and asked them which fruit they liked best - oranges, apples, pears or strawberries. 70 students said they liked oranges, 120 students said they liked pears, and 147 students said they liked apples. How many students picked strawberries as their favorite fruit from the list?
A: First, you have to add the number of students that liked the three other fruits. Therefore, you have to add 70 + 120 + 147. This gives you a sum of 337. We know that 450 students were interviewed, so you have to subtract 337 from 450 to get the number of students who liked strawberries. 450 - 337 = 113 students liked strawberries best out of all of the fruits. The answer is 113.
Question: Mindy has 7 less than 9 times as many emails waiting for her as phone messages. If she has a total of 93 emails and phone messages combined, how many emails does she have?
Answer: Let e be the number of emails Mindy has and m be the number of phone messages? We know that e + m = 93 and e = 9m - 7. Substituting the second equation into the first equation, we get 9m - 7 + m = 93. Combining like terms, we get 10m - 7 = 93. Adding 7 to both sides of the equation, we get 10m = 100. Dividing both sides by 10, we get m = 10. Substituting this value back into the equation e = 9m - 7, we get e = 9 * 10 - 7 = 90 - 7 = 83. The answer is 83.
[Question]Charlotte, Lisa, and Patricia have a joint baseball collection. One of their friends is selling a rare baseball card for $100 on his website. Not wanting to miss such a rare opportunity, they have pooled all their money to buy the card. Patricia has $6. Lisa has five times Patricia’s money, but double Charlotte’s. How much more money do they require?
[Answer]Since Patricia has 6 dollars, then Lisa has 6 * 5 = 30 dollars. Patricia’s money is double Charlotte’s, meaning that Charlotte has 30 / 2 = 15 dollars. Adding up all the money they have gives a total of 6 + 30 + 15 = 51 dollars. Since the rare card costs 100 dollars, the girls require an additional 100 - 51 = 49 dollars. The answer is 49.
Q: John has to restring 3 basses with 4 strings each, twice as many guitars which have 6 strings each, and 3 fewer 8 string guitars than the normal guitars. How many strings does he need?
A: The basses take 3 * 4 = 12 strings. He restrings 2 * 3 = 6 normal guitars. That takes 6 * 6 = 36 strings. He restrings 6 - 3 = 3 guitars with 8 strings. So that uses 3 * 8 = 24 strings. So he uses 12 + 36 + 24 = 72 strings. The answer is 72.
Question: Archibald and his brother are playing tennis against each other. Archibald has won 12 games and his brother has won 18. What percentage of games has Archibald won?
Answer:
They have played 30 total games because 12 + 18 = 30. The proportion won by Archibald is .4 because 12 / 30 = .4. The percentage he has won in 40% because .4 x 100% = 40%. The answer is 40.