Q: A curry house sells curries that have varying levels of spice. Recently, a lot of the customers have been ordering very mild curries and the chefs have been having to throw away some wasted ingredients. To reduce cost and food wastage, the curry house starts monitoring how many ingredients are actually being used and changes their spending accordingly. The curry house needs 3 peppers for very spicy curries, 2 peppers for spicy curries, and only 1 pepper for mild curries. After adjusting their purchasing, the curry house now buys the exact amount of peppers they need. Previously, the curry house was buying enough peppers for 30 very spicy curries, 30 spicy curries, and 10 mild curries. They now buy enough peppers for 15 spicy curries and 90 mild curries. They no longer sell very spicy curries. How many fewer peppers does the curry house now buy?
A: The curry house previously bought 3 peppers per very spicy curry * 30 very spicy curries = 90 peppers for very spicy curries. They also bought 2 peppers per spicy curry * 30 spicy curries = 60 peppers for spicy curries. They also bought 1 pepper per mild curry * 10 mild curries = 10 peppers for mild curries. So they were previously buying 90 + 60 + 10 = 160 peppers. They now buy 2 peppers per spicy curry * 15 spicy curries = 30 peppers for spicy curries. They also now buy 1 pepper per mild curry * 90 mild curries = 90 peppers for mild curries. So they now buy 30 + 90 = 120 peppers. This is a difference of 160 peppers bought originally - 120 peppers bought now = 40 peppers. The answer is 40.
Question: Mary is making a model sailboat. She wants to add three sails: a rectangular sail that measures 5 inches by 8 inches and two right triangular sails, one that's 3 inches long at the bottom and 4 inches tall and one that's 4 inches long at the bottom and 6 inches tall. (Remember you can find the area of a triangle by dividing the area of a square with the same height and length by 2). How many square inches of canvas does she need total?
Answer: First find the area of the square sail: 5 inches * 8 inches = 40 square inches. Then find the area of a square sail with the same height and length as the first triangular sail: 3 inches * 4 inches = 12 square inches. Then divide the area in two to find the area of the triangular sail: 12 square inches / 2 = 6 square inches. Then find the area of a square sail with the same height and length as the second triangular sail: 4 inches * 6 inches = 24 square inches. Then divide the area in two to find the area of the triangular sail: 24 square inches / 2 = 12 square inches. Then add up the areas of all the sails to find the total amount of canvas needed: 12 square inches + 6 square inches + 40 square inches = 58 square inches. The answer is 58.
[Question]Johnny has been playing guitar for a while now. He practices the same amount each day. As of 20 days ago he had half as much practice as he has currently. How many days will pass before Johnny has 3 times as much practice as he does currently?
[Answer]If Johnny had half as much practice as he currently has as of 20 days ago, this means he has 20 * 2 = 40 days worth of practice currently. Therefore, to have three times as much practice as he currently has, he'd need to practice for 40 * 3 = 120 days. Since he's already practiced for 40 days, this means he needs to practice or 120 - 40 = 80 more days. The answer is 80.
Q: Matt orders 15 pounds of beef. He cuts that into 12-ounce steaks. How many steaks does he get?
A: He buys 15 * 16 = 240 ounces of steak. That means he buys 240 / 12 = 20 steaks. The answer is 20.
Question: Alex had 36 ounces of jelly beans. He ate 6 ounces. Then he divided the rest equally into 3 piles. How much does each pile weigh?
Answer: Start by taking out the ones he ate: 36 ounces - 6 ounces = 30 ounces. Divide the remainder equally: 30 ounces / 3 piles = 10 ounces per pile. The answer is 10.
Q: Jack is on the phone with a scammer who says the IRS will arrest Jack if he doesn't send them the codes from 6 $500 Best Buy gift cards and 9 $200 Walmart gift cards. After sending the codes for 1 Best Buy gift card and 2 Walmart gift cards, Jack wises up and hangs up. How many dollars' worth of gift cards can he still return?
A:
First find the number of Best Buy gift cards Jack needs to return: 6 cards - 1 cards = 5 cards. Then multiply that number by the cost per card to find the total refund Jack gets from Best Buy: 5 cards * $500 / card = $2500. Then find the number of Walmart gift cards Jack needs to return: 9 cards - 2 cards = 7 cards. Then multiply that number by the cost per card to find the total refund Jack gets from Walmart: 7 cards * $200 / card = $1400. Then add the two refunds to find his total refund amount: $2500 + $1400 = $3900. The answer is 3900.