Q: There are 20 hands in Peter's class, not including his. Assume every student in the class has 2 arms and 2 hands. How many students are in Peter's class including him?
A: There are 20 + 2 of Peter's hands = 22 hands in Peter's class including his. There are 22 hands / 2 hands per student = 11 students. The answer is 11.
Question: Carolyn buys a silverware set with 6 knives, 12 forks, and three times as many spoons as knives. Then her friend trades her 10 knives for 6 spoons. What percentage of Carolyn's silverware is knives?
Answer: First find the final number of knives Carolyn has: 10 knives + 6 knives = 16 knives. Then find the initial number of spoons Carolyn has: 6 knives * 3 spoons / knife = 18 spoons. Then find the final number of spoons Carolyn has: 18 spoons - 6 spoons = 12 spoons. Then find the total final amount of silverware Carolyn has: 12 spoons + 16 knives + 12 forks = 40 pieces. Then divide the number of knives by the total number of pieces and multiply by 100% to express the answer as a percentage: 16 knives / 40 pieces * 100% = 40%. The answer is 40.
[Question]Out of the 80 students who took the biology exam, only 2/5 of them managed to score 100%. If a score below 80% qualified as failing, and 50 percent of the remaining students who didn't score 100% managed to score over 80%, calculate the number of students who failed the exam.
[Answer]The number of students who scored 100% is 2 / 5 * 80 = 32. Out of the 80 students, 80 - 32 = 48 did not score 100%. If 50% of the students who did not score 100% managed to score over 80%, then 50 / 100 * 48 = 24 students scored over 80%. The number of students who failed is 48 - 24 = 24. The answer is 24.
Q: Dave bought 8 books about animals, 6 books about outer space, and 3 books about trains to keep him busy over the holidays. Each book cost $6. How much did Dave spend on the books?
A: Dave buys 8 books + 6 books + 3 books = 17 books in total. He has to spend 17 books $6 / book = $102 if he wants to buy all the books. The answer is 102.
Question: Veronica, who is the team captain of their school football team, carried 27 yellow balls and 33 brown balls to the field for the team's matchday practice. What percentage of the balls that she carried were yellow?
Answer: The total number of balls that she carried is 27 + 33 = 60. The percentage that represents the yellow balls is 27 / 60 * 100% = 45%. The answer is 45.
Q: Matt did his homework for 150 minutes. He spent 30% of that time on math and 40% on science. He spent the remaining time on other subjects. How much time did Matt spend on homework in other subjects?
A:
Matt spent on math and science 30% + 40% = 70% of the time. This means he did homework from these two subjects for 70 / 100 * 150 minutes = 105 minutes. So Matt spent 150 minutes - 105 minutes = 45 minutes doing homework from other subjects. The answer is 45.