[Question]Padma is trading cards with Robert. Padma started with 75 cards and traded 2 or her valuable ones for 10 of Robert's cards. Robert started with 88 of his own cards and traded another 8 of his cards for 15 of Padma's cards. How many cards were traded between both Padma and Robert?
[Answer]Padma traded 2 + 15 of her cards = 17 cards. Robert traded 10 + 8 of his cards = 18 cards. In total, between both of them Padma and Robert traded 17 + 18 = 35 cards. The answer is 35.
Q: Grace is filling her pool in the backyard with a hose that sprays 50 gallons/hour. She waited for 3 hours but the pool wasn't full, so she decides to add another hose that sprays 70 gallons/hour, and after 2 more hours the pool is full. How much water can Grace’s pool contain?
A: In the first 3 hours the pool gets 50 gallons / hour x 3 hours = 150 gallons. With the addition of the other hose, the pool was filling with a rate of 50 gallons / hour + 70 gallons / hour = 120 gallons / hour. In the next 2 hours with both hoses the pool gets 120 gallons / hour x 2 hours = 240 gallons. The pool's total capacity is 240 gallons + 150 gallons = 390 gallons. The answer is 390.
Question: Alexander is going food shopping. If he buys 5 apples for $1 each and 2 oranges for $2 each, how much does he spend?
Answer: Alexander spends 5 * $1 = $5 on apples. He spends 2 * $2 = $4 on oranges. In total, he spends $5 + $4 = $9. The answer is 9.
[Question]Aaron pays his actuary membership fees each year. The membership fee increases yearly by $10. If he pays $80 in the first year, how much does his membership cost, in dollars, in the sixth year?
[Answer]In year 2 he pays 80 + 10 = $90. In year 3 he pays 90 + 10 = $100. In year 4 he pays 100 + 10 = $110. In year 5 he pays 110 + 10 = $120. In year 6 he pays 120 + 10 = $130. The answer is 130.
Q: Jake splits 8 shots of vodka with his friend. Each shot of vodka is 1.5 ounces. If the vodka is 50% pure alcohol, how much pure alcohol did Jake drink?
A: Jake drank 8 / 2 = 4 shots. So he drank 4 * 1.5 = 6 ounces of vodka. That means he drank 6 * .5 = 3 ounces of pure alcohol. The answer is 3.
Question: Linda is building a new hotel with two wings. The first wing has 9 floors and each floor has 6 halls each with 32 rooms. The second wing has 7 floors each with 9 halls with 40 rooms each. How many rooms are in the hotel total?
Answer:
First find the number of rooms per floor in the first wing: 32 rooms / hall * 6 halls / floor = 192 rooms / floor. Then find the total number of rooms in the first wing by multiplying that number by the number of floors: 192 rooms / floor * 9 floors = 1728 rooms. Then find the number of rooms per floor in the second wing: 40 rooms / hall * 9 halls / floor = 360 rooms / floor. Then find the total number of rooms in the second wing by multiplying that number by the number of floors: 360 rooms / floor * 7 floors = 2520 rooms. Then add the total number of rooms in each wing to find the overall total: 1728 rooms + 2520 rooms = 4248 rooms. The answer is 4248.