[Question]All people named Barry are nice, while only half of the people named Kevin are nice. Three-fourths of people named Julie are nice, while 10% of people named Joe are nice. If a crowd contains 24 people named Barry, 20 people named Kevin, 80 people named Julie, and 50 people named Joe, how many nice people are in the crowd?
[Answer]If all people named Barry are nice, and the crowd contains 24 people named Barry, then 1 * 24 = 24 of these people are nice. If only half of people named Kevin are nice, and the crowd contains 20 people named Kevin, then 0.5 * 20 = 10 of these people are nice. If three - fourths of people named Julie are nice, and the crowd contains 80 people named Julie, then (3 / 4) * 80 = 60 of these people are nice. If 10% of people named Joe are nice, and the crowd contains 50 people named Joe, then 0.1 * 50 = 5 of these people are nice. In total, the crowd contains 24 + 10 + 60 + 5 = 99 people who are nice. The answer is 99.
Q: A store is comparing their profits throughout the year. They had profits of $1,500 in the first quarter of the year, $3,000 in the third quarter, and $2,000 in the fourth quarter. If their annual profits are $8,000, how much profit, in dollars, did they make in the second quarter?
A: In the three quarters we have figures for, the store made a total of $1500 + $3000 + $2000 = $6,500. Subtracting this from their annual profit shows that they made $8000 $6500 = $1,500 profit in the second quarter. The answer is 1500.
Question: Jeff is collecting matchbox cars. He has twice as many cars as trucks. He has 60 total vehicles. How many trucks does he have?
Answer: The number of trucks + 2(number of trucks) = 60. Therefore 3(number of trucks) = 60. Number of trucks = 20 because 60 / 3 = 20. The answer is 20.
[Question]The teacher told the class that if they averaged at least 75% on their final exam, they could have a pizza party. Everyone took the exam on Monday, except for William, who was allowed to take it on Tuesday. If there are 30 people in the class, and the average before he took the test was a 74%, what score does he have to get to make sure they get to have a pizza party?
[Answer]Let x be the score that William needs to achieve. Since there are 30 people in the class, there are 30 - 1 = 29 people without him. Since their average was a 74%, this means that (29 * 74 + x) / 30 > = 75. Thus, 29 * 74 + x > = 30 * 75. Thus, 29 * 74 + x > = 2250. Thus, 2146 + x > = 2250. Thus, x > = 2250 - 2146. Thus, x > = 94. The answer is 94.
Q: The recipe for a four-person cake requires 2 eggs and 4 cups of milk. Tyler wants to use this recipe to make a cake for eight people. If Tyler has 3 eggs in the fridge, how many more eggs does Tyler need to buy?
A: A cake for eight people would require 8 / 4 = 2 times as many eggs as a 4 people cake. If a 4 - person cake requires 2 eggs, then an 8 - person cake requires 2 x 2 = 4 eggs. Tyler needs to buy 4 - 3 = 1 more egg. The answer is 1.
Question: Janet has a business selling custom collars for dogs and cats. If it takes 18 inches of nylon to make a dog collar and 10 inches to make a cat collar, how much nylon does she need to make 9 dog collars and 3 cat collars?
Answer:
First find the total number of inches of nylon used for the dog collars: 18 inches / dog collar * 9 dog collars = 162 inches. Then find the total number of inches of nylon used for the cat collars: 10 inches / cat collar * 3 cat collars = 30 inches. Then add the nylon needed for the cat and dog collars to find the total amount needed: 162 inches + 30 inches = 192 inches. The answer is 192.