Question: The ski lift carries skiers all the way from the bottom of the mountain to the very top of the mountain, and then drops them off so they can ski back down the mountain. If it takes a skier 15 minutes to ride the lift from the bottom to the top of the mountain, and then it takes 5 minutes to ski back down the mountain, what is the most number of times a person can ski down the mountain in 2 hours?
Answer: East trip up and back down the mountain takes 15 + 5 = 20 minutes per trip. Two hours is 2 * 60 = 120 minutes. Therefore, in 120 minutes, a skier can take 120 / 20 = 6 trips up and back down the mountain. The answer is 6.
[Question]There are 35 books on the cart. There are five fiction books, 4 more non-fiction books than fiction books, 2 times as many autobiographies as fiction books, and the rest picture books. How many books were picture books?
[Answer]There are 5 + 4 = 9 non - fiction books on the cart. There are 2 * 5 = 10 autobiographies on the cart. There are 5 + 9 + 10 = 24 fiction, non - fiction, and autobiography books on the cart. There are 35 - 24 = 11 picture books on the cart. The answer is 11.
Q: If Layla scored 104 goals in four hockey games and Kristin scored 24 fewer goals in the same four games, calculate the average number of goals the two scored.
A: If Layla scored 104 goals in four hockey games and Kristin scored 24 fewer goals in the same four games, Kristin scored 104 - 24 = 80 goals. The combined number of goals they scored is 80 + 104 = 184. The average number of goals they scored is 184 / 2 = 92. The answer is 92.
Question: Harrison Elementary School is overcrowded with 1590 students, so 40% of the students are going to move to a new school. There are 3 grade levels, and each grade level needs one 20-person advanced class and the rest of the students divided evenly into 6 additional classes. How many students will there be in each normal class at the new school?
Answer: First find how many students go to the new school: 1590 students * .4 = 636 students. Then divide that number by 3 to find how many students are at each grade level: 636 students / 3 grades = 212 students / grade. Then subtract the 20 students in the gifted class: 212 students - 20 students = 192 students. Then divide that number by 6 to find the number of students in each other class: 192 students / 6 classes = 32 students / class. The answer is 32.
[Question]Mark wants to build a pyramid of soda cases that's four levels tall. Each level of the pyramid has a square base where each side is one case longer than the level above it. The top level is just one case. How many cases of soda does Mark need?
[Answer]We know that the top level just has one case. Since each level has one more case per side than the level above it, the second level has sides that are 2 cases long. We can figure out how many cases we need for the second level by finding the area of a square with a side length of 2: 2 cases * 2 cases = 4 cases. The third level has three cases per side, so we need to find the area of a square with side length 3: 3 cases * 3 cases = 9 cases. The fourth level has a side length of 4, so we find its area with 4 cases * 4 cases = 16 cases. Finally, we add up the number of cases we need on each level: 1 cases + 4 cases + 9 cases + 16 cases = 30 cases. The answer is 30.
[Question]John buys thank you cards. He decides to buy them for people who got him Christmas and birthday presents. He sent 20 for Christmas gifts and 15 for birthday gifts. If each card cost $2 how much did he spend on cards?
[Answer]
He bought 20 + 15 = 35 cards. So he spent 35 * 2 = $70. The answer is 70.