[Question]Alexa was on vacation for 3/4ths of the time it took Ethan to learn 12 fencing tricks. Joey spent half as much this time (that Ethan spent learning the tricks) learning to swim. If Alexa spent a week and 2 days on vacation, how many days did it take Joey to learn swimming?
[Answer]There are 7 days in one week so one week and 2 days = 7 + 2 = 9 days. Call the time Ethan spends learning tricks e. Alexa spent 9 days on vacation which is 3 / 4ths of the time Ethan spent learning 12 fencing tricks, hence (3 / 4)e = 9 days. If we multiply both sides of this equation by 4 / 3, we get e = (4 / 3) * 9 days = 12 days. Joey spent half of 12 days which is 12 / 2 = 6 days to learn swimming. The answer is 6.
Q: Karen is constantly trying to stop the raccoons from getting in her trash. The first lock she tries stalls them for 5 minutes. The next lock stalls them for 3 minutes less than three times as long as the first lock. When Karen tries both locks at once, it stalled the raccoons for five times as long as the second lock alone. How long is that?
A: First find how long the second lock stalls them: 5 minutes * 3 - 3 minutes = 12 minutes. Then multiply that amount by 5 to find the total time the third lock stall the raccoon: 12 minutes * 5 = 60 minutes. The answer is 60.
Question: A certain store sells computer accessories and equipment. Due to a fire outbreak in one of the factories, the price of RAM increased by 30%. After two years, the price stabilized and finally fell by 20% from what it has risen. What is the current price of RAM if it was $50 before the fire?
Answer: After the fire outbreak, the price of RAM got increased by 30 / 100 * 50 = $15. So before stabilization the price was at 50 + 15 = $65. After the stabilization, the price fell by 20% from $65, so it fell by 20 / 100 * 65 = $13. That means the RAM is currently at 65 - 13 = $52. The answer is 52.
[Question]George collected 50 marbles in white, yellow, green, and red. Half of them are white, and 12 are yellow. There are 50% fewer green balls than yellow balls. How many marbles are red?
[Answer]Half of the marbles are white, so there are 50 / 2 = 25 white marbles. Green marbles are only 50% as many as yellow marbles, so there are 50 / 100 * 12 = 6 green marbles. So currently we know that we have 25 + 12 + 6 = 43 marbles. The rest are red, so there are 50 - 43 = 7 red marbles. The answer is 7.
Q: Jenny is working on a school project. She spends 10 hours doing research for the project and 2 hours writing a proposal. If she has 20 hours total to work on the project, how many hours does she have left to write her report?
A: So far, Jenny has spent 10 + 2 = 12 hours on the project. Thus, she has 20 - 12 = 8 hours to write her report. The answer is 8.
Question: For every 1 year a human ages, a dog ages 7 years. When Max is 3, how much older, in dog years, will his 3-year-old dog be?
Answer:
The 3 - year - old dog ages 7 years to one human year so he will technically be 3 * 7 = 21 years old in dog years. Max's dog will be 21 when Max turns 3 so the age difference is 21 - 3 = 18. The answer is 18.