Q: Carrie is trying to sneak some mashed turnips into her kids' mashed potatoes. She knows they didn't notice when she mixed 2 cups of turnips with 5 cups of potatoes. If she has 20 cups of potatoes, how many cups of turnips can she add?
A: First find the number of cups of potatoes Carrie adds per one cup of turnips: 5 cups potatoes / 2 cups turnips = 2.5 cups potatoes / cup turnips. Then divide the number of cups of potatoes she has that that ratio to find the number of cups of turnips she adds: 20 cups potatoes / 2.5 cups potatoes / cup turnips = 8 cups turnips. The answer is 8.
Question: Stephen made 10 round trips up and down a 40,000 foot tall mountain. If he reached 3/4 of the mountain's height on each of his trips, calculate the total distance he covered.
Answer: Up a mountain, Stephen covered 3 / 4 * 40000 = 30000 feet. Coming down, Stephen covered another 30000 feet, making the total distance covered in one round to be 30000 + 30000 = 60000. Since Stephen made 10 round trips up and down the mountain, he covered 10 * 60000 = 600000. The answer is 600000.
[Question]Traci and Harris are baking cakes together. Traci has brought flour from her own house and Harris has 400g of flour in his house. Each cake needs 100g of flour and Traci and Harris have created 9 cakes each. How much flour, in grams, did Traci bring from her own house?
[Answer]To make the cakes, Traci and Harris used a total of 9 cakes * 100g of flour per cake = 900g of flour. Traci therefore brought 900g of needed flour – 400g of flour from Harris’ flour = 500g of flour from her own house. The answer is 500.
Q: 3000 bees hatch from the queen's eggs every day. If a queen loses 900 bees every day, how many total bees are in the hive (including the queen) at the end of 7 days if at the beginning the queen had 12500 bees?
A: 3000 new bees are born every day. In 7 days there will be 3000 * 7 = 21000 new bees. If each day the queen loses 900 bees, in 7 days there will be 900 * 7 = 6300 fewer bees. If at the beginning the queen had 12500 bees, then at the end of 7 days she will have 12500 + 21000 - 6300 = 27200 bees. The total number of bees in the hive including the queen is 27200 + 1 = 27201. The answer is 27201.
Question: Every year in January, Natalia, the librarian, tidies up the books. She has 145 novels, 271 comics, 419 documentaries, and 209 albums to store. She wants to put these in crates that can hold 9 items. How many crates will Natalia use?
Answer: Let’s first calculate the total number of items: 145 + 271 + 419 + 209 = 1044 items. Now let’s put the items in the crates: 1044 / 9 = 116 crates. The answer is 116.
Q: 10 people attended class on Monday, 15 on Tuesday, and 10 on each day from Wednesday through Friday. What was the average number of people who attended class each day?
A:
A total of 10 + 15 + 10 + 10 + 10 = 55 people attended class across the 5 days. An average of 55 people / 5 days = 11 people per day attended class. The answer is 11.