[Question]A passenger train transports passengers between two stations located in two separate cities. On a particular day, the train carried 100 passengers from one station to the other one way, and on the return trip carried 60 passengers. If the train made three more round trips that day, taking the same number of people as the first trip in each trip, calculate the total number of passengers transported between both stations?
[Answer]The total number of people transported in the first trip is 100 one way + 60 on the return trip = 160 people. If the train made three more round trips that day carrying the same number of passengers in each trip as the first, it carried a total of 3 * 160 = 480 in all three round trips. In total, the train carried 160 + 480 = 640 people over all its trips that day. The answer is 640.
Q: Missy has an obedient dog and a stubborn dog. She has to yell at the stubborn dog four times for every one time she yells at the obedient dog. If she yells at the obedient dog 12 times, how many times does she yell at both dogs combined?
A: First find the number of times Missy yells at the stubborn dog: 4 * 12 times = 48 times. Then add the number of times she yells at the obedient dog to find the total number of times she yells: 48 times + 12 times = 60 times. The answer is 60.
Question: Dirk sells amulets at a Ren Faire. He sells for 2 days and each day he sells 25 amulets. Each amulet sells for 40 dollars and they cost him 30 dollars to make. If he has to give 10% of his revenue to the faire, how much profit did he make?
Answer: He sold 2 * 25 = 50 amulets. So he made 40 * 50 = $2000. The faire took 2000 * .1 = $200. So he kept 2000 - 200 = $1800. The amulets cost 50 * 30 = $1500 to make. So he had a profit of 1800 - 1500 = $300. The answer is 300.
[Question]5,000 people live in a small town. 2,000 males live in that town and the rest of the population are females. Thirty percent of the female population wears glasses. How many females wear glasses?
[Answer]There are 5,000 - 2,000 = 3,000 females that lives in the town. Since thirty percent of the female population wears glasses, 30 / 100 * 3,000 = 900 females wear glasses. The answer is 900.
Q: There are enough provisions in a castle to feed 300 people for 90 days. After 30 days, 100 people leave the castle. How many more days are left until all the food runs out?
A: After 30 days, there will be enough food left to sustain 300 people for 90 days 30 days = 60 days. After the 100 people leave, there will be 300 - 100 = 200 people left. The 200 people will eat 200 / 300 = 2 / 3 as much food as the original group of people in the castle. The 60 days' worth of food will last this smaller group for 60 days / (2 / 3) = 90 more days. The answer is 90.
Question: Aubrie has four cards with the labels W, X, Y, Z printed on them. W is tagged with the number 200, X is tagged with half the number W is tagged with, Y is tagged with the total of X and W's tags and Z is tagged with the number 400. Calculate the total of all the tagged numbers.
Answer:
If the card with the letter X has half the number the card with letter W has, it has 1 / 2 * 200 = 100. Together, cards with letters W and X have tags that total 100 + 200 = 300. If the card with the letter Y has the total of the numbers cards with letters, W and X have, then the total for cards with letters W, X, and Y is 300 + 300 = 600. Since the card with the letter Z has a tag of 200, the total of the numbers the tags have is 600 + 400 = 1000. The answer is 1000.