Question: A car manufacturing company that produces 100 cars per month wants to increase its production to reach 1800 cars per year. How many cars should the company add to the monthly production rate to reach that target?
Answer: Let Y be the number of cars needed to be added to the current monthly production. Then ((100 + Y) * 12) = 1800. So 1200 + 12 * Y = 1800. 12 * Y = 1800 - 1200 = 600. Y = 600 / 12 = 50. The answer is 50.
[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: Gerald is a furniture maker. He has 672 pieces of wood and he wants to make some tables and chairs. It takes 12 pieces of wood to make a table and 8 pieces of wood to make a chair. How many chairs can he make if he makes 24 tables?
A: Each table takes 12 pieces of wood to make so 24 tables will take 24 * 12 = 288. There were originally 672 pieces of wood so now there are 672 - 288 = 384 pieces left. 8 pieces of wood make 1 chair so 384 pieces can make 384 / 8 = 48 chairs. The answer is 48.
Question: Cape May has 8 more than twice as many sharks as Daytona Beach. If Daytona Beach has 12 sharks, how many sharks are there in Cape May?
Answer: Twice the number of sharks in Daytona Beach is 12 * 2 = 24. Cape May has 8 more sharks than that which is 24 + 8 = 32. The answer is 32.
[Question]The school band is going to a competition. Five members play the flute. There are three times as many members who play the trumpet. There are eight fewer trombone players than trumpeters, and eleven more drummers than trombone players. There are twice as many members that play the clarinet as members that play the flute. Three more members play the French horn than play the trombone. How many seats are needed on the bus?
[Answer]There are 3 trumpets / flute x 5 flutes = 15 trumpet players. There are 15 players - 8 players = 7 trombone players. There are 7 players + 11 players = 18 drummers. There are 2 clarinets / flute x 5 flutes = 10 clarinet players. There are 7 players + 3 players = 10 French horn players. In total 5 players + 15 players + 7 players + 18 players + 10 players + 10 players = 65 seats needed. The answer is 65.
[Question]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?
[Answer]
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.