Q: The gauge on a water tank shows that the tank is 1/3 full of water. To fill the tank, 16 gallons of water are added. How many gallons of water does the tank hold when full?
A: Given that the tank is 1 / 3 full of water, and that it requires 16 gallons to fill. 1 full tank - 1 / 3 tank = 2 / 3 of the tank is empty, which is equal to 16 gallons. If 2 / 3 of the tank equals 16 gallons, this means 1 / 3 of the tank is equal to 16 / 2 gallons = 8 gallons. The total capacity of the tank or how much the tanks holds = 16 + 8 = 24 gallons. The answer is 24.
Question: Carla is dividing up chores for her two kids, Anna and Billy. She wants each of them to spend the same number of minutes working. Sweeping takes 3 minutes per room, washing the dishes takes 2 minutes per dish, and doing laundry takes 9 minutes per load. If Anna does the sweeping for 10 rooms and Billy does two loads of laundry, how many dishes should Billy wash so they spend the same amount of time doing chores?
Answer: First find the total time Billy spends on laundry: 2 loads * 9 minutes / load = 18 minutes. Then find the total time Anna spends sweeping: 3 minutes / room * 10 rooms = 30 minutes. Then find how much longer Anna has already worked than Billy: 30 minutes - 18 minutes = 12 minutes. Then divide the difference in work time by the time to wash one dish to find the number of dishes Billy has to wash to work the same amount of time as Anna: 12 minutes / 2 minutes / dish = 6 dishes. The answer is 6.
[Question]A pair of dogs are barking back and forth at each other from across the street. The poodle barks twice for every one time the terrier barks. The terrier's owner hushes it every second time it barks. She has to say "hush" six times before the dogs stopped barking. How many times did the poodle bark?
[Answer]The terrier barked twice as many times as it was told to hush, so it barked 6 * 2 = 12 times. The poodle barked two times for every terrier bark, so it barked 12 * 2 = 24 times. The answer is 24.
Q: There are 60 ridges on a vinyl record. Jerry has 4 cases, each with 3 shelves that can hold 20 records each. If his shelves are 60% full, how many ridges are there on all his records?
A: First find the total number of records that can fit on all the shelves: 4 cases * 3 shelves / case * 20 records / shelf = 240 records. Then multiply that number by 60% to find the number of records actually on the shelves: 240 records * 60% = 144 records. Then multiply that number by 60 to find the number of ridges on all the records: 144 records * 60 ridges / record = 8640 ridges. The answer is 8640.
Question: Benny is baking pies for a bake sale. He plans to make ten pumpkin pies, which cost $3 each to make, and twelve cherry pies, which cost $5 each to make. If he wants to make a profit of $20 selling all the pies, how much does he have to charge for each pie if both kinds sell at the same price?
Answer: Benny will spend 3 * 10 = $30 to make the pumpkin pies. He will spend 5 * 12 = $60 to make the cherry pies. He wants to make a profit of $20, so he has to earn 30 + 60 + 20 = $110 selling all the pies. He is making 22 pies, so he needs to charge 110 / 22 = $5 per pie. The answer is 5.
Q: If olivine has 5 more precious stones than agate and diamond has 11 more precious stones than olivine, how many precious stones do they have together if agate has 30 precious stones?
A:
Since Agate has 30 precious stones and Olivine has 5 more precious stones, then Olivine has 30 + 5 = 35 precious stones. The total number of stones Olivine and Agate has is 35 + 30 = 65. Diamond has 11 more precious stones than Olivine, who has 35 stones, meaning Diamond has 35 + 11 = 46 precious stones. In total, they all have 65 + 46 = 111 precious stones. The answer is 111.