Q: Mo is buying valentine's day cards for the class. There are 30 students and he wants to give a Valentine to 60% of them. They cost $2 each. If he has $40, what percentage of his money will he spend on Valentine?
A: He needs 18 valentine's cards because 30 x .6 = 18. He will spend $36 on these because 18 x 2 = 36. The proportion of his income spent is .9 because 36 / 40 = .9. This is 90% of his income because .9 x 100 = 90. The answer is 90.
Question: Carter is a professional drummer. He goes through 5 sets of drum sticks per show. After the end of each show, he tosses 6 new drum stick sets to audience members. He does this for 30 nights straight. How many sets of drum sticks does he go through?
Answer: He uses 5 sets a night and tosses 6 sets to fans so he needs 5 + 6 = 11 sets a night. He goes through 11 sets a night for 30 nights so he needs 11 * 30 = 330 drum stick sets. The answer is 330.
[Question]Mike decides to develop a plot of land. He bought 200 acres for $70 per acre. After development, he sold half of the acreage for $200 per acre. How much profit did he make?
[Answer]He bought the land for 200 * 70 = $14000. He sold 200 / 2 = 100 acres. He got 100 * 200 = $20,000 from selling this. So he made a profit of 20,000 - 14,000 = $6,000. The answer is 6000.
Q: The first store charges $3 for 6 apples while the second store charges $4 for 10 apples. How many cents can you save on each apple from buying $4 for 10 apples than from $3 for 6 apples?
A: In the first store, each apple costs $3 / 6 = $0.5. In the second store, each apple costs $4 / 10 = $0.4. So, you can save $0.5 - $0.4 = $0.1 on each apple from buying $4 for 10 apples than from $3 for 6 apples. In cents, this is equal to $0.1 x 100 = 10. The answer is 10.
Question: Out of the 500 marbles that Cindy had, she gave her four friends 80 marbles each. What's four times the number of marbles she has remaining?
Answer: Cindy gave her four friends 80 marbles each, a total of 4 * 80 = 320 marbles. She was left with 500 - 320 = 180 marbles. Four times the number of marbles she has remaining is 180 * 4 = 720. The answer is 720.
Q: If two piles of toys added together make 120 toys in total, and the larger of the two piles is twice as big as the smaller one, how many toys are in the larger pile?
A:
First, we set up the equation 3x = 120, dividing both sides by three to find that x = 40. Then we multiply X by 2 to find that 40 * 2 = 80. As 80 / 2 = 40, and 40 + 80 = 120, we find the sizes of the two piles as the larger pile is twice as big as the smaller pile, confirming that 80 is the answer. The answer is 80.