Question: Mark is filling a punch bowl that can hold 16 gallons of punch. He fills it part way, then his cousin comes along and drinks half the punch in the bowl. Mark starts to refill the bowl and adds 4 more gallons, but then his friend Sally comes in and drinks 2 more gallons of punch. After that, Mark has to add 12 gallons of punch to completely fill the bowl. How much punch did Mark initially add to the bowl?
Answer: First, figure out how much punch was left in the bowl before Mark refilled it by subtracting the 12 gallons he added from the bowl's total capacity: 16 - 12 = 4 gallons. Next, figure out how much punch was in the bowl before Sally came along: 4 + 2 = 6 gallons. Next, figure out how much punch was in the bowl before Mark started to refill it: 6 - 4 = 2 gallons. Finally, multiply that amount by 2 to find out how much punch there was before the cousin drank half: 2 * 2 = 4 gallons. The answer is 4.
[Question]For homework, Juan's teacher asked everyone in the class, to write down the different types of transportation (cars, trucks, bicycles, skateboards etc) they saw on their way home that afternoon. After school, Juan walked home and saw the following: 15 cars, 3 bicycles, 8 pickup trucks and 1 tricycle. How many tires in total were there on the vehicles Juan saw?
[Answer]He saw 15 cars and 8 trucks so 15 + 8 = 23 vehicles. Those 23 vehicles have 4 wheels each so 23 * 4 = 92 wheels. Bicycles have 2 wheels each and he saw 3 bikes so 2 * 3 = 6 wheels. Tricycles have 3 wheels each and he saw 1 tricycle so 1 * 3 = 3 wheels. In total, Juan saw 92 + 6 + 3 = 101 wheels. The answer is 101.
Q: Brenda is a vet who needs to spay some cats and twice as many dogs. If she needs to spay 21 animals total today, how many cats does she need to spay?
A: Let c be the number of cats Brenda needs to spay and d be the number of dogs. We know that c + d = 21 and d = 2c. Substituting the second equation into the first, we get c + 2c = 21. Combining like terms, we get 3c = 21. Dividing both sides by 3, we get c = 7. The answer is 7.
Question: A coal-powered train is traveling towards a faraway city when the conductor realizes that he forgot to restock the train's coal supply at the last station. The train is traveling on a one-way track, so the conductor has no other option but to continue moving forward towards the city. The train can travel 5 miles for every 2 pounds of coal that it consumes. If the train has 160 pounds of coal remaining, how far can the train travel before it runs out of fuel?
Answer: The train travels 5 miles per every 2 pounds, or 5 / 2 = 2.5 miles per pound of coal. Therefore, the 160 pounds of coal that remain are enough for the train to travel 160 * 2.5 = 400 miles. The answer is 400.
[Question]A car traveled 360 miles in 4 hours and 30 minutes. What was its speed in miles per hour?
[Answer]There are 60 minutes in one hour, so the car traveled 360 miles in 4 hours + 30 minutes / 60 minutes / hour = 4.5 hours. In one hour, the car travels 360 miles / 4.5 hours = 80 miles / hour. The answer is 80.
[Question]There are some kids in camp. Half of the kids are going to soccer camp, and 1/4 of the kids going to soccer camp are going to soccer camp in the morning. 750 kids are going to soccer camp in the afternoon. How many kids there in camp altogether?
[Answer]
There are 750 / 3 = 250 kids going to soccer camp in the morning. There are 250 * 4 = 1000 kids going to soccer camp altogether. There are 1000 * 2 = 2000 kids in camp altogether. The answer is 2000.