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question：Ms. Thompson is planning to fence her backyard and needs 420 feet of wooden fencing. If each foot of fencing costs 12, and her neighbor donates 180 feet of wooden fencing, how much money will Ms. Thompson need to pay for the remaining fencing?
answer：First, I need to determine how much fencing Ms. Thompson still needs after her neighbor's donation. She initially requires 420 feet of fencing, and her neighbor is donating 180 feet. By subtracting the donated amount from the total needed, I can find out how many additional feet she needs to purchase.Next, I'll calculate the cost of the remaining fencing. Each foot of fencing costs 12, so I'll multiply the number of feet she needs to buy by the cost per foot to find the total amount she has to pay.
question：Ethan purchased eight tickets to a concert for his friends, with each ticket costing 12.50. He was charged 9.50 total for service fees. After paying, he had 8.75 left in his wallet. How much money did Ethan have initially?
answer：First, calculate the total cost of the concert tickets by multiplying the number of tickets by the cost per ticket: 8 tickets * 12.50 = 100.00.Next, add the service fees to find the total amount spent: 100.00 + 9.50 = 109.50.Finally, determine the initial amount of money Ethan had by adding the total amount spent to the remaining money in his wallet: 109.50 + 8.75 = 118.25.
question：A bookstore has two shelves of books. The first shelf contains books that cost 8 each. The second shelf contains books that cost 12 each. A student then comes in and buys 3 books from the first shelf and 4 books from the second shelf. What is the total cost, in dollars, of the books she bought?
answer：First, I need to calculate the cost of the books bought from the first shelf. Each book costs 8, and the student bought 3 books. So, the total cost for the first shelf is 3 multiplied by 8, which equals 24.Next, I'll calculate the cost of the books from the second shelf. Each book here costs 12, and the student bought 4 books. Therefore, the total cost for the second shelf is 4 multiplied by 12, which equals 48.Finally, to find the total cost of all the books, I'll add the costs from both shelves together. Adding 24 and 48 gives a total of 72.
question：Hank invested in a three-story office building. The ground floor has three times as much office space as each of the other two floors, which have an equal amount of space. The first tenants rented out one-third of the space on the second floor, which amounts to 2,000 square feet. How many square feet of office space is still available for rent in the entire building?
answer：First, I need to determine the amount of office space on each floor. Let's denote the space on the second and third floors as ( x ) square feet each. Since the ground floor has three times as much space as each of the other floors, the ground floor space is ( 3x ) square feet.Next, I know that one-third of the second floor space was rented out, which amounts to 2,000 square feet. This means:[frac{1}{3}x = 2,000]Solving for ( x ):[x = 2,000 times 3 = 6,000 text{ square feet}]Now, I can calculate the total office space in the building:[text{Total Space} = 3x + x + x = 5x = 5 times 6,000 = 30,000 text{ square feet}]The space already rented out is 2,000 square feet on the second floor. Therefore, the remaining available space is:[text{Available Space} = 30,000 - 2,000 = 28,000 text{ square feet}]
question：Liz bought a recipe book that cost 6, a baking dish that cost twice as much, five ingredients that cost 3 each, and an apron that cost a dollar more than the recipe book. Collectively, how much in dollars did Liz spend?
answer：First, I need to determine the cost of each item Liz purchased.The recipe book costs 6.The baking dish costs twice as much as the recipe book, so it costs 2 * 6 = 12.The five ingredients cost 3 each, totaling 5 * 3 = 15.The apron costs a dollar more than the recipe book, so it costs 6 + 1 = 7.Finally, I add up all the costs: 6 (recipe book) + 12 (baking dish) + 15 (ingredients) + 7 (apron) = 40.
question：Emily goes for a 1.5-hour walk, 4 times a week. In 56 days, how many hours will she have spent walking?
answer：First, I need to determine how many weeks are in 56 days. Since there are 7 days in a week, I divide 56 by 7 to get 8 weeks.Emily walks 4 times each week. Over 8 weeks, the total number of walking sessions is 4 multiplied by 8, which equals 32 walks.Each walking session lasts 1.5 hours. To find the total hours she spends walking, I multiply the number of walks (32) by the duration of each walk (1.5 hours). This gives a total of 48 hours.