Q: Annie spends 2 hours a week on chess club, 8 hours a week on drama club, and 3 hours a week on glee club. If there are 12 weeks in each semester and Annie takes the first two weeks off sick, how many hours of extracurriculars does she do before midterms?
A: First find the total number of extracurricular hours Annie does per week: 2 hours / week + 8 hours / week + 3 hours / week = 13 hours / week. Then find the number of weeks in a semester before midterms by dividing the total number of weeks by 2: 12 weeks / semester / 2 = 6 weeks / semester. Then find the number of weeks before midterms that Annie wasn't sick: 6 weeks - 2 weeks = 4 weeks. Then multiply Annie's weekly commitment by the number of weeks to find her total number of extracurricular hours: 13 hours / week * 4 weeks = 52 hours. The answer is 52.
Question: Benjamin collects 6 dozen eggs a day. Carla collects 3 times the number of eggs that Benjamin collects. Trisha collects 4 dozen less than Benjamin. How many dozen eggs do the three collect total?
Answer: Carla:3(6) = 18 dozen eggs. Trisha: 6 - 4 = 2 dozen eggs. Total: 6 + 18 + 2 = 26 dozen eggs. The answer is 26.
[Question]Grover bought 3 boxes of face masks. He plans to sell them for $0.50 each. If each box has 20 face masks, and he bought the 3 boxes for $15, how much will be his total profit?
[Answer]Grover will earn $0.50 x 20 = $10 for each box. So, he will earn $10 x 3 = $30 after selling all the face masks. Therefore, his total profit will be $30 - $15 = $15. The answer is 15.
Q: Max has a collection of stamps in three colors: 20 red stamps, 80 blue stamps and 7 yellow ones. He is trying to sell the whole collection. He already sold 20 red stamps for the price of $1.1 for each stamp and 80 blue stamps for the price of $0.8 for each stamp. What price did he need to set for each yellow stamp to be able to earn the total of $100 from the whole sale?
A: Max earned 20 * 1.1 = $22 on red stamps. From the blue stamps Max got 80 * 0.8 = $64. His earnings so far are 22 + 64 = $86. To earn $100 he needs 100 – 86 = $14 more. Max has 7 yellow stamps, so he needs to set the price at 14 / 7 = $2. The answer is 2.
Question: On the island of Castor, there are 40 chess players. A quarter of the island's chess players have never lost to an AI. How many people on the island have lost to a computer, at least once?
Answer: Chess players that have never lost to an AI is 40 / 4 = 10 people. Chess players that have lost to an AI is 40 - 10 = 30 people. The answer is 30.
Q: John hits 70% of his free throws. For every foul he gets 2 shots. He gets fouled 5 times a game. How many free throws does he get if he plays in 80% of the 20 games the team plays?
A:
John plays in 20 * .8 = 16 games. That means he gets fouled 16 * 5 = 80 fouls. So he gets 80 * 2 = 160 foul shots. So he makes 160 * .7 = 112 free throws. The answer is 112.