[Question]Ahmed and Emily are having a contest to see who can get the best grade in the class. There have been 9 assignments and Ahmed has a 91 in the class. Emily has a 92. The final assignment is worth the same amount as all the other assignments. Emily got a 90 on the final assignment. What is the minimum grade Ahmed needs to get to beat Emily if all grades are whole numbers?
[Answer]Ahmed has scored 819 total points in the class thus far because 9 x 91 = 819. Emily had scored 828 total points before the final assignments because 9 x 92 = 828. She scored 918 total points after the final assignment because 828 + 90 = 918. Ahmed needs to score a 99 to tie Emily for the semester because 918 - 819 = 99. Ahmed needs to score a 100 to beat Emily for the semester because 99 + 1 = 100. The answer is 100.
Q: James has barrels that he uses to store water. They store 3 gallons more than twice as much as a large cask. If he has 4 barrels and a cask stores 20 gallons, how much water can he store?
A: A barrel stores 20 * 2 + 3 = 43 gallons. So he can store 4 * 43 = 172 gallons. The answer is 172.
Question: There is a road stretching 3 miles from the base camp to the chain challenge. Every 20 minutes, a car comes down the road from the base camp towards the chain challenge. How many hours have passed once 30 cars have come down the road?
Answer: 20 * 30 = 600 minutes have passed. 600 / 60 = 10 hours have passed. The answer is 10.
[Question]Nalani had two female dogs that were expecting and after a month gave birth to 10 puppies each. She then sold 3/4 of the puppies after they came of age, each at $200. Calculate the total amount of money she received from the sale of the puppies.
[Answer]If the two expectant dogs gave birth to 10 puppies each, the total number of puppies Nalani had is 10 + 10 = 20. When they came of age, Nalani sold 3 / 4 of the dogs, a total of 3 / 4 * 20 = 15 dogs. If each dog sold for $200, Nalani received 15 * 200 = $3000 from the sale of the dogs. The answer is 3000.
Q: Dikembe wants to teach everyone at school about the importance of flossing, so he plans to bring enough packets of floss for everyone. There are 20 students in his class. Each student needs 1.5 yards of floss. He sees in the store that each packet of floss contains 35 yards. If he buys the least amount necessary, how much floss is left over?
A: He will need to bring 30 yards of floss because 20 x 1.5 = 30. One packet of floss is enough because 35 > 30. He has 5 yards left over because 35 - 30 = 5. The answer is 5.
Question: Roger had a 6-hour drive planned out. He didn't want to listen to music so he downloaded several podcasts. The first podcast was 45 minutes long. The second podcast was twice as long as that. The third podcast was 1 hour and 45 minutes long. His fourth podcast is 1 hour long. How many hours will his next podcast have to be to fill up the full 6 hours?
Answer:
The second podcast was twice as long as the first so 2 * 45 = 90. 1 hour is 60 mins. So his 1 hour and 45 min podcast is 60 + 45 = 105 minutes long. So far he has downloaded 45 + 90 + 105 + 60 = 300 min. If he converts 300 min to hours then he has 300 / 60 = 5 hours of podcasts downloaded. He has 5 hours of podcasts and his drive is 6 hours so he will need 6 - 5 = 1 more hour of podcasts. The answer is 1.