Question: Xavier runs three times as many miles as Katie, who runs 4 times as many miles as Cole. If Xavier runs 84 miles, how many miles does Cole run?
Answer: Katie runs one - third of Xavier's distance, which is 84 / 3 miles = 28 miles. Cole runs a quarter of Katie's distance, which translates to 28 / 4 = 7 miles. The answer is 7.
[Question]A family's water and electricity bills average $30 a month for the first 4 months and $24 a month for the last 2 months. If the family's bills were averaged over all 6 months, what would the average monthly bill be?
[Answer]The sum of the bills of the family in the first 4 months is $30 / month x 4 months = $120. The sum of the bills of the family in the last 2 months is $24 / month x $2 = $48. The sum of the bills of the family over the 6 months is $120 + $48 = $168. Hence, their average monthly bill is $168 / 6 months = $28 / month. The answer is 28.
Q: A woman is trying to decide whether it will be quicker to take an airplane or drive herself to a job interview. If she drives herself, the trip will take her 3 hours and 15 minutes. If she takes an airplane, she will first need to drive 10 minutes to the airport, and then wait 20 minutes to board the plane. After that, she will be on the airplane for one-third of the time it would have taken her to drive herself before landing in the destination city. Finally, it will take her an additional 10 minutes to get off the airplane and arrive at her interview site after the plane lands. Given this information, how many minutes faster is it for her to take the airplane?
A: First, we must convert the driving time of 3 hours and 15 minutes to minutes. Since there are 60 minutes in an hour, driving takes a total of 3 * 60 + 15 = 195 minutes. Next, the woman will be on the airplane for one - third of 195 minutes, or 195 / 3 = 65 minutes. Therefore, in total, the airplane trip will take the woman 10 + 20 + 65 + 10 = 105 minutes. Thus, the airplane trip is 195 - 105 = 90 minutes faster than driving herself to the interview. The answer is 90.
Question: Van Helsing gets paid by the town to remove all the vampires and werewolves. He gets $5 per vampire and $10 per werewolf. He removes half the vampires and removes 8 werewolves, and earned $105. There were 4 times as many werewolves as vampires. What percentage of the werewolves did he remove?
Answer: He earns $80 from werewolf removal because 8 x 10 = 80. He earned $25 from vampire removal because 105 - 80 = 25. He removed 5 vampires from town because 25 / 5 = 5. There were 10 vampires because 5 / .5 = 10. There were 40 werewolves because 4 x 10 = 40. The proportion of werewolves that he removed was .2 because 8 / 40 = .2. The percentage of werewolves removed was 20% because 100 x .2 = 20. The answer is 20.
[Question]Leila and Mohamed decided to donate their old toys to a children’s home. Leila gave 2 bags with 25 toys in each bag. Mohamed’s donation was 3 bags with 19 toys in each bag. How many more toys did Mohamed donate?
[Answer]Leila gave 2 * 25 = 50 toys. Mohamed’s donation was 3 * 19 = 57 toys. The difference is 57 - 50 = 7 toys. Mohamed therefore donated an additional 7 toys. The answer is 7.
[Question]The average temperature in Orlando in a particular week was 60 degrees. If the temperature on each of the first 3 days in that week was 40, and the temperature for Thursday and Friday was 80 degrees each, calculate the total temperature of the remaining days of that week.
[Answer]
If the average temperature of Orlando for the week was 60, then the total temperature for the week was 7 * 60 = 420 degrees. For the first three days of that week, the temperature was 40 degrees each day, totaling 3 * 40 = 120 degrees in the three days. The temperature for Thursday and Friday was 80 degrees each, a total of 80 * 2 = 160 degrees. The temperature of Orlando for the first five days was 160 + 120 = 280 degrees. The temperature for the remaining two days is 420 - 280 = 140 degrees. The answer is 140.