[Question]Dale just learned how to make homemade macaroni and cheese. He decided to make a big batch for his family reunion. The original recipe calls for 2 pounds of pasta and serves 7 people. Dale's family reunion will have 35 people. How many pounds of pasta does Dale need to buy?
[Answer]Dale's batch needs to be 35 ÷ 7 = 5 times larger than the original recipe. Dale needs 2 × 5 = 10 pounds of pasta. The answer is 10.
Q: Pauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?
A: He has 36 eggs because 3 x 12 = 36. He can make 9 omelets because 36 / 4 = 9. Each person gets 3 omelets because 9 / 3 = 3. The answer is 3.
Question: The Dark Lord needs to transport 1200 pounds of swords to the Enchanted Forest for a battle with the elves. He has 10 squads of 8 orcs each. How many pounds of swords does each orc have to carry?
Answer: First find how many orcs there are total by multiplying the number of orcs per squad by the number of squads: 8 orcs / squad * 10 squads = 80 orcs. Then divide the total amount of swords by the number of orcs to find the amount of swords per orc: 1200 pounds / 80 orcs = 15 pounds / orc. The answer is 15.
[Question]On a mall-wide sale, Andre bought a $1350 treadmill for a 30% discount and 2 pieces of 45-pound plates for $50 each. How much did Andre pay for the treadmill and plates?
[Answer]Andre had $1350 x 30 / 100 = $405 discount for the treadmill. So, a treadmill cost $1350 - $405 = $945. Two 45 - pound plates cost $50 x 2 = $100. So, Andre paid a total of $945 + $100 = $1045. The answer is 1045.
Q: Mark realizes that a lot of the friends on his friends list are people he doesn't talk to anymore. He keeps 40% of his friends list and then contacts the rest. Of those only 50% respond. He removes everyone who did not respond. If he had 100 friends how many does he have left after the removal?
A: He contacted 1 - .4 = .6 of his friends. So he contacted 100 * .6 = 60 people. So he removes 60 / 2 = 30 people. So he has 100 - 30 = 70 friends left. The answer is 70.
Question: A water tower that serves four neighborhoods around it holds 1200 barrels of water and is filled to the top each week. If one neighborhood uses 150 barrels of water in a week, the second neighborhood uses twice as many barrels of water as the first neighborhood in a week, and the third neighborhood uses one hundred more barrels of water than the second neighborhood in a week, how many barrels are left for the fourth neighborhood?
Answer:
The second neighborhood uses 150 * 2 = 300 barrels of water. The third neighborhood uses 300 + 100 = 400 barrels of water. The first, second, and third neighborhoods together use 150 + 300 + 400 = 850 barrels of water. Thus, the fourth neighborhood has 1200 - 850 = 350 barrels of water left for it to use. The answer is 350.