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question:Tom is preparing for the strongman competition and needs to create homemade dumbbells. He purchases two 5-gallon buckets and fills them 80% full with water. If water has a density of approximately 8.34 pounds/gallon, how many pounds do Tom's improvised dumbbells weigh?
answer:To find the weight of the dumbbells, we need to find the weight of the water in each bucket and then multiply by 2 since there are 2 buckets.Each bucket is 5 gallons and is filled 80% full, so the amount of water in each bucket is:5 gallons * 0.8 = 4 gallonsThe weight of the water in each bucket is:4 gallons * 8.34 pounds/gallon = 33.36 poundsSince there are 2 buckets, the total weight of the dumbbells is:2 * 33.36 pounds = 66.72 poundsThus Tom's improvised dumbbells weigh boxed{66.72} pounds.
question:In the kitchen, there was a box of donuts. Tim took out 4 donuts and ate 2 of them, then put the other 2 back in the box. The next day, his sister, Emma, sneaked into the kitchen and took out 5 donuts, hiding them in her backpack for a snack later. Later that evening, their mom checked the box and accused Tim of eating a third of the donuts. How many donuts remained in the box?
answer:Let's denote the initial number of donuts as x.Tim took 4 donuts out and put 2 back, thus he took 2 donuts in total.Then Emma took 5 donuts out of the box.So in total 2 + 5 = 7 donuts were taken out of the box.According to the problem, 7 donuts amount to one third of all the donuts.This can be written as the following equation 7 = x/3, which implies x = 21.Since 7 donuts were taken out of the box, there are 21 - 7 = 14 donuts remaining in the box.Thus, there are boxed{14} donuts left in the box.
question:A school district decided to give backpacks to the students on the first day of school. 125 students in grade 6 received black backpacks that cost 12 each. 120 students in grade 7 received blue backpacks that cost 11.50 each. 130 students in grade 8 received red backpacks that cost 13.25 each. 115 students in grade 9 received green backpacks that cost 12.75 each. How much did the school district spend on backpacks for the students?
answer:Let's break down the cost of backpacks for each grade level:* For grade 6, the cost is 125 * 12 = 1500* For grade 7, the cost is 120 * 11.50 = 1380* For grade 8, the cost is 130 * 13.25 = 1722.50* For grade 9, the cost is 115 * 12.75 = 1466.25Now, we add up the costs for all grade levels:1500 + 1380 + 1722.50 + 1466.25 = 6068.75So, the school district spent boxed{6068.75} dollars on backpacks for the students.
question:Emma assembles toy cars for 45 minutes at a rate of 4 cars every minute. Emma's friend Olivia assembles toy cars for 30 minutes at a rate of 5 cars every minute. During the assembly, 8 of the toy cars are damaged and have to be discarded. How many assembled toy cars do Emma and Olivia have in total?
answer:Emma assembles 4 cars per minute for 45 minutes. So she assembles a total of 4*45 = 180 cars.Olivia assembles 5 cars per minute for 30 minutes. So she assembles a total of 5*30 = 150 cars.Thus together they assemble 180 + 150 = 330 cars.Out of these, 8 cars are damaged. Thus they are left with 330 - 8 = 322 cars.So Emma and Olivia have boxed{322} cars in total.
question:Alex wants to give stickers to his classmates. He decides to give one sticker for each letter of the first name of his classmates. His classmates are Benjamin, Ava, Lucas, and Samantha. If each sticker costs 0.50, what is the total amount he will spend in dollars?
answer:Let's compute the number of letters in each name and then add them up.Benjamin has 8 letters.Ava has 3 letters.Lucas has 5 letters.Samantha has 8 letters.So the total number of letters is 8 + 3 + 5 + 8 = 11 + 5 + 8 = 16 + 8 = 24.Since each sticker costs 0.50, the total amount Alex will spend is 24 * 0.50 = 12.Thus, Alex will spend boxed{12} dollars.
question:Brendan works online and is paid every week. Once he gets the money, he recharges his debit card with half of his pay. In June, he earned 5000 and bought himself a used car worth 1500. What is his total amount of remaining money at the end of the month?
answer:Let's break down Brendan's income and expenses:Income: 5000Debit card recharge: 5000 / 2 = 2500Remaining money after recharge: 5000 - 2500 = 2500Expense on used car: 1500Remaining money after buying the car: 2500 - 1500 = 1000So, Brendan's total amount of remaining money at the end of the month is boxed{1000} dollars.