Question: Casey is pumping water out of her well. She can pump 3 gallons a minute. She has 4 rows of 15 corn plants each, and each plant needs half a gallon of water. She also has 10 pigs, which each need 4 gallons of water, and 20 ducks that each need a quarter of a gallon of water. How many minutes does Casey need to spend pumping water?
Answer: First find how many corn plants there are: 15 plants / row * 4 rows = 60 plants. Then find how many gallons of water of the corn needs: 60 plants * 1 / 2 gallon / plant = 30 gallons. Then find how many gallons of water the pigs need: 10 pigs * 4 gallons / pig = 40 gallons. Then find how many gallons of water the ducks need: 20 ducks * 1 / 4 gallon / duck = 5 gallons. Now add up all three quantities of water to find the total water needed: 5 gallons + 40 gallons + 30 gallons = 75 gallons. Now divide the total water needed by Casey's pumping rate to find how long she spends pumping: 75 gallons / 3 gallons / minute = 25 minutes. The answer is 25.
[Question]Theresa has 5 more than thrice as many video games as Julia. Julia has a third as many video games as Tory. If Tory has 6 video games, how many video games does Theresa have?
[Answer]Julia has 1 / 3 * 6 = 2 video games. Theresa has 3 * 2 + 5 = 11 video games. The answer is 11.
Q: It takes 5 people to lift a car and twice as many people to lift a truck. How many people are needed to lift 6 cars and 3 trucks?
A: It takes 5 x 2 = 10 people to lift a truck. 5 x 6 = 30 people are needed to lift the cars. 10 x 3 = 30 people are needed to lift the trucks. Altogether, 30 + 30 = 60 people are needed. The answer is 60.
Question: Chloe bought chocolate-dipped strawberries at $50 a dozen. She then sold them for $30 for half a dozen during the Mother's Day celebration. How much is Chloe's profit if she sold 50 dozens?
Answer: If Chloe bought it for $50 per dozen, then half a dozen cost her $50 / 2 = $25. This means that she has $30 - $25 = $5 profit per half a dozen of chocolate - dipped strawberries. If Chloe sold 50 dozens, then she was able to sell 50 / 1 / 2 = 100 half a dozen chocolate - dipped strawberries. Hence, her profit is $5 x 100 = $500. The answer is 500.
[Question]Out of the 80 students who took the biology exam, only 2/5 of them managed to score 100%. If a score below 80% qualified as failing, and 50 percent of the remaining students who didn't score 100% managed to score over 80%, calculate the number of students who failed the exam.
[Answer]The number of students who scored 100% is 2 / 5 * 80 = 32. Out of the 80 students, 80 - 32 = 48 did not score 100%. If 50% of the students who did not score 100% managed to score over 80%, then 50 / 100 * 48 = 24 students scored over 80%. The number of students who failed is 48 - 24 = 24. The answer is 24.
[Question]Haruto has tomato plants in his backyard. This year the plants grew 127 tomatoes. Birds had eaten 19 of the tomatoes. He picked the rest. If Haruto gave half of his tomatoes to his friend, how many tomatoes does he have left?
[Answer]
After the birds ate 19 of the tomatoes Haruto has 127 - 19 = 108 tomatoes left. After giving half of his tomatoes to his friend, Haruto had 108 / 2 = 54 tomatoes. The answer is 54.