Question: A TV show has been going on for 14 years. Out of those 14 years, 8 seasons had 15 episodes, 4 seasons had 20 episodes, and 2 seasons had 12 episodes. What is the average number of episodes per year?
Answer: 8 seasons with 15 episodes had 8 x 15 = 120 episodes. 4 seasons with 20 episodes had 4 x 20 = 80 episodes. 2 seasons with 12 episodes had 2 x 12 = 24 episodes. All together, there have been 120 + 80 + 24 = 224 episodes. The average number of episodes a year is 224 / 14 = 16 episodes. The answer is 16.
[Question]Hattie and her friend Lorelei are doing a jumping contest using a jumping rope. Hattie does 180 jumps in the first round, while Lorelei jumps 3/4 as many times as Hattie jumped. In the second round, Lorelei does 50 more jumps than Hattie. If Hattie managed to jump 2/3 times the number of jumps she did in the first round, calculate the total number of jumps the two did in the two rounds.
[Answer]In the first round, Lorelei did 3 / 4 * 180 jumps = 135 jumps. In the second round, Hattie did 2 / 3 * 180 jumps = 120 jumps, while. Lorelei did 120 jumps + 50 jumps = 170 jumps. The total number of jumps for the two in both rounds is 170 jumps + 120 jumps + 135 jumps + 180 jumps = 605 jumps. The answer is 605.
Q: Hannah wants to get the highest grade in the class on the upcoming math test. Because she is out sick the day of the test, she learns ahead of time the top scores she has to beat. She finds out that one student got a 95% on the exam. Another student only got 3 wrong out of 40. How many questions does she have to get right to have the highest score in the class?
A: One student got 37 questions right because 40 - 3 = 37. This student's proportion right is .925 because 37 / 40 = .925. This student got a 92.5% because .925 x 100 = 92.5. The student got got a 95% got 38 right because 40 x .95 = 38. Hannah must beat the student who got a 38 because 38 > 37. Hannah needs to get 39 questions right because 38 + 1 = 39. The answer is 39.
Question: A lumberjack is chopping down trees so he can sell firewood. Each tree he chops produces 4 logs each, and each log is then chopped into 5 pieces of firewood. If the lumberjack has chopped 500 pieces of firewood, how many trees did he chop down?
Answer: The firewood is made from 500 pieces of firewood / 5 pieces of firewood per log = 100 logs. So the logs are chopped from 100 logs / 4 logs per tree = 25 trees. The answer is 25.
[Question]Lulu has $65 in her piggy bank. She spent $5 on ice cream. She then spent half of the remainder of the money on a t-shirt. Afterwards, she went to the bank and deposited a fifth of her remaining money. How much cash was Lulu left with?
[Answer]Lulu had 65 - 5 = 60 dollars left after eating ice cream. Lulu had 60 / 2 = 30 dollars left. Lulu deposited 30 / 5 = 6 dollars. Lulu was left with 30 - 6 = 24 in cash. The answer is 24.
[Question]Jerome has 20 classmates on his cell phone contact list. He has half as many out of school friends as classmates on his contact list. He also has his two parents and his sister on his contact list. How many people are on Jerome's contact list?
[Answer]
Jerome has 20 classmates on the list, and has half as many out of school friends on there so he has 20 / 2 = 10 out of school friends on the contact list. He has 2 parents and 1 sister on the contact list, for 2 + 1 = 3 family members on the contact list. Adding the classmates, out of school friends and family members together we get 20 + 10 + 3 = 33 people on his contact list. The answer is 33.