[Question]The Tampa Bay Bucs have 13 football players and 16 cheerleaders. If 10 football players and 4 cheerleaders quit, how many football players and cheerleaders are left?
[Answer]There are 13 - 10 = 3 football players left. There are 16 - 4 = 12 cheerleaders left. In total there are 3 + 12 = 15 football players and cheerleaders left. The answer is 15.
Q: A swarm of ants discovered a pile of sugar that spilled from a dropped bag. They begin to harvest it and carry it off to their anthill. Every hour, the ants remove 4 ounces of sugar. The bag of sugar held 24 ounces before it was dropped. After three hours, how many more hours will the ants need to harvest the remaining sugar?
A: After 3 hours, the ants have removed 4 * 3 = 12 ounces of sugar. There are 24 - 12 = 12 ounces of sugar left. Thus, the ants need 12 / 4 = 3 more hours to harvest the remaining sugar. The answer is 3.
Question: On the last night that roller skate rink was open, 40 people showed up to roller skate one last time. When all 40 people skated at one time, how many wheels were on the floor?
Answer: 40 people were roller skating and they all had 2 feet which means there were 40 * 2 = 80 feet. Each foot needs a roller skate and each roller skate has 4 wheels so 80 * 4 = 320 wheels when everyone skated. The answer is 320.
[Question]Ishmael was monitoring whales out at sea for conservation purposes. Each time he takes a trip to sea, he sees a different group of whales. On his first trip, he counts 28 male whales and twice as many female whales. On his second trip, he sees 8 baby whales, each travelling with their parents. On his third trip, he counts half as many male whales as the first trip and the same number of female whales as on the first trip. In total, how many whales were out at sea during Ishmael’s monitoring?
[Answer]On the first trip, Ishmael sees 28 male whales * 2 = 56 female whales. So in total, he sees 28 male whales + 56 female whales = 84 whales on the first trip. On the second trip, each baby whale travels with its parents which means it travels in a group of 1 baby whale + 2 parents = 3 whales / baby whale. This means there are 8 baby whales * 3 whales / baby whale = 24 whales on the second trip. On the third trip, there are half as many male whales as there were on the first trip, so there must be 28 male whales / 2 = 14 male whales. Adding this to the female whales means he saws 14 males whales + 56 female whales = 70 whales on the third trip. In total, Ishmael saw 84 + 24 + 70 = 178 whales across the three trips. The answer is 178.
Q: For every 100 additional people that board a spaceship, its speed is halved. If the speed of the spaceship with 200 people on board is 500km per hour, what is its speed in km/hr when there are 400 people on board?
A: For every addition of 100 people added the speed is halved so for the first 100 people added its speed is 1 / 2 * 500 km / hr = 250 km / hr. For another addition of 100 people its speed is also halved, 1 / 2 * 250 km / hr = 125 km / hr. So for the total of 200 additional people, its speed is 125 km / hr. The answer is 125.
Question: Jason is counting the number of cars that drive by his window. He counted four times as many green cars as red cars, and 6 more red cars than purple cars. If he counted 312 cars total, how many of them were purple?
Answer:
Let g be the number of green cars, r be the number of red cars, and p be the number of purple cars. We know that g + r + p = 315, r = p + 6, and g = 4r. Substitute the second equation into the third equation to get: g = 4r = 4(p + 6) = 4p + 24. Now substitute the equations that express g and r in terms of p in the equation for the total number of cars: 4p + 24 + p + 6 + p = 315. Now combine like terms to get 6p + 30 = 312. Now subtract 30 from both sides to get 6p = 282. Now divide both sides by 6 to get p = 47. The answer is 47.