Q: Milo is making a giant loaf of bread, and the recipe calls for pounds of eggs instead of telling him the number. He needs 6 pounds in total. He looks up online that an egg weighs 1/16 of a pound. If he needs 6 pounds of eggs, how many dozen should he buy?
A: If one egg weighs 1 / 16 of a pound then 1 pound will be made up of 1 / (1 / 16) = 16 eggs. One pound of eggs is 16 eggs so 6 pounds is 6 * 16 = 96 eggs. One dozen is 12 eggs so 96 eggs will make 96 / 12 = 8 dozens. The answer is 8.
Question: Half of all the people in Nantucket will attend a planned meeting for a bowl game. There are 300 people in Nantucket, and the number of males going to the meeting is twice the number of females. How many females are going to the meeting?
Answer: If half of the people in Nantucket are going to the planned meeting, then there are 1 / 2 * 300 = 150 people going to the meeting. If the number of males going to the meeting is twice the number of females, we'll assume the number of females is x and the number of males is 2x. We know that x + 2x = 150. Adding like terms produces 3x = 150. After dividing both sides by 3, we have x = 150 / 3 = 50. The number of females attending the meeting is x = 50. The answer is 50.
[Question]Steve has 25 socks. He has 4 pairs of socks that match, and all the others don't match. How many mismatching socks does Steve have altogether?
[Answer]In each pair of socks there are 2 / 1 = 2 socks. Steve has 2 * 4 = 8 matching socks. Steve has 25 - 8 = 17 mismatching socks. The answer is 17.
Q: A developer was buying land. He bought 4 acres at $1,863 per acre. He then split the land he purchased into 9 lots. How much should he sell each lot for just to break even?
A: His purchase cost is 4 acres * $1863 = $7452. He divided the land into 9 plots, so the price per lot would be $7452 / 9 = $828. The answer is 828.
Question: In a dye-making process, a young lady mixes 3/5th of 20 liters of water with 5/6th of 18 liters of vinegar. How many liters of the mixture are obtained?
Answer: 3 / 5th of 20 liters of water is 20 * (3 / 5) = 12 liters. 5 / 6th of 18 liters of vinegar is 18 * (5 / 6) = 15 liters. 12 liters of water mixed with 15 liters of vinegar gives 12 + 15 = 27 - liter mixture. The answer is 27.
Q: Simon and Peter have a big stamp collection. Simon collects red stamps and Peter collects white stamps. Simon has 30 red stamps and Peter has 80 white stamps. If the red stamps are then sold for 50 cents each and the white stamps are sold for 20 cents each, what is the difference in the amount of money they make in dollars?
A:
Red stamps are 50 cents each and for 30 stamps, Simon would get 50 * 30 = 1500 cents. White stamps are 20 cents each and for 80 stamps, Peter would get 20 * 80 = 1600 cents. The difference in cents is 1600 - 1500 = 100 cents. One dollar equals 100 cents, so the difference in dollars is 100 / 100 = $1. The answer is 1.