Question: Wallace's water heater is twice the size of Catherine's water heater. If the capacity of Wallace's water heater is 40 gallons and it's 3/4 full, calculate the total number of gallons of water they both have if Catherine's water heater is also full with water to 3/4 of its capacity.
Answer: When 3 / 4 full of water, Wallace's water heater has 3 / 4 * 40 = 30 gallons of water. Catherine's water heater capacity is 40 / 2 = 20 gallons. When 3 / 4 full, Catherine's water heater has 3 / 4 * 20 = 15 gallons of water. Together, when 3 / 4 full with water, Wallace's and Catherine's water heaters hold 15 + 30 = 45 gallons of water. The answer is 45.
[Question]Gabe has three songs on his playlist. “The Best Day” is 3 minutes, “Raise the Roof” is 2 minutes, and “Rap Battle” is 3 minutes. How many times can Gabe listen to his entire playlist on the 40-minute ride to his wrestling match?
[Answer]If you add all the songs together, Gabe’s playlist is 3 + 2 + 3 = 8 minutes long. During the 40 - minute car ride, Gabe can listen to his 8 - minute playlist 40 / 8 = 5 times. The answer is 5.
Q: Annie is building a diorama for her history class. The amount of time she spent building it is equal to three times the amount of time she spent planning it minus 5 minutes. If she spent 67 minutes on the diorama total, how many minutes did she spend building it?
A: Let p be the planning time in minutes and b be the building time. We know that b = 3p - 5 and b + p = 67. Substituting the first equation into the second equation, we get 3p - 5 + p = 67. Combining like terms, we get 4p - 5 = 67. Adding 5 to both sides, we get 4p = 72. Dividing both sides by 4, we get p = 18. Substituting this value into b = 3p - 5, we find that b = 3 * 18 - 5 = 49. The answer is 49.
Question: Jenna is buying concert tickets for her group of five friends. She's able to get two of the tickets from the concert website for $50 each before they sell out. A scalper offers to sell her two more tickets for 240% of the normal price, but Jenna convinces him to give her $10 off that total payment. Finally, one of her friends gets a discounted ticket through her job for 60% of the normal price. How much do Jenna's friends pay for their tickets in total?
Answer: First calculate the price of the two normally priced tickets by multiplying the price and the quantity: $50 * 2 = $100. Then calculate the scalper's initial asking price by multiplying the normal cost of two tickets by 240%: $100 * 2.4 = $240. Then subtract the $10 discount Jenna negotiated: $240 - $10 = $230. Now calculate the price of the discounted ticket Jenna's friend gets through her job by multiplying the normal ticket price by 60%: $50 * .6 = $30. Finally, add up the price of all the tickets to find the total: $100 + $230 + $30 = $360. The answer is 360.
[Question]A restaurant is counting their sales for the day. They sold 10 meals at $8 each, 5 meals at $10 each, and 20 meals at $4 each. In dollars, how much money did the restaurant make throughout the day?
[Answer]From the first set of meals, the restaurant earned 10 meals * $8 = $80. From the second set of meals, the restaurant earned 5 meals * $10 = $50. From the third set of meals, the restaurant earned 20 meals * $4 = $80. In total, the restaurant earned $80 + $50 + $80 = $210. The answer is 210.
[Question]Ivory and Brayan are doing school projects with a tight deadline and have to stay up late to complete everything. They prepare coffee to help them stay focused. If Brayan drinks twice as much coffee as Ivory, and Brayan drinks 4 cups of coffee in an hour, calculate the total number of cups of coffee they drink together in 5 hours.
[Answer]
If Brayan drinks 4 cups of coffee in an hour, twice what Ivory drinks, then Ivory drinks 4 / 2 = 2 cups of coffee in an hour. Together, they drink 4 + 2 = 6 cups of coffee in an hour. After 5 hours, they will drink 5 * 6 = 30 cups of coffee together. The answer is 30.