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.

Question: An apartment building has 12 floors and half of them are full. The remaining floors are all at half-capacity. If each floor has 10 apartments and each apartment has four people, how many people are in the building?
Answer: Half the floors are full, so there are 12 floors * 0.5 = 6 floors that are full. So the full floors contain 6 floors * 10 apartments = 60 apartments. The remaining floors are at half - capacity, so there are 12 floors – 6 full floors = 6 half - full floors. Each of these floors therefore contains 10 apartments * 0.5 = 5 apartments. So on the half - full floors, there are a total of 6 floors * 5 apartments = 30 apartments. In total, there are 30 + 60 = 90 filled apartments in the building. This means there are 90 apartments * 4 people per apartment = 360 people in the building. The answer is 360.

Question: Cameron is printing her thesis in the school library and has 400 A4 pieces of paper. If 40% of the papers did not print out up to her desired quality and she separated them as invalid, calculate the total number of valid documents.
Answer: If she had 400 papers, the total number of documents she separated as invalid is 40 / 100 * 400 pages = 160 pages. The number of valid documents is 400 pages - 160 pages = 240 pages. The answer is 240.

Question: An amoeba reproduces by fission, splitting itself into two separate amoebae. An amoeba reproduces every two days. How many days will it take one amoeba to divide into 16 amoebae?
Answer:
The amoeba will divide into 1 * 2 = 2 amoebae after 2 days. The amoeba will divide into 2 * 2 = 4 amoebae after 4 days. The amoeba will divide into 4 * 2 = 8 amoebae after 6 days. The amoeba will divide into 8 * 2 = 16 amoebae after 8 days. The answer is 8.