Question

It takes Berry 6 3/4 hours. If he works 81 hours during the week, how many cars did he detail?

a. 6 cars

b. 8 cars

c. 9 cars

d. 10 cars

Answer 1

C (9 cars). To find out how many cars Berry detailed, divide the total number of hours he worked by the number of hours it takes to detail one car. Berry detailed a total of 12 cars, so the correct answer is option

Step-by-step explanation:

The correct answer is option C (9 cars)

To find out how many cars Berry detailed, we need to divide the total number of hours he worked by the number of hours it takes to detail one car.

1. To convert 6 3/4 hours into an improper fraction, we multiply the whole number, 6, by the denominator, 4, and add the product, 24, to the numerator, 3, resulting in 27/4 hours.
2. Next, we divide the total number of hours worked, 81, by the amount of time it takes to detail one car, 27/4.
3. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, 81/1 divided by 27/4 can be simplified to (81/1) x (4/27).
4. Multiplying the numerators gives us 324, and multiplying the denominators gives us 27.
5. Therefore, Berry detailed a total of 324/27 or 12 cars.

Since the possible answer choices only include whole numbers, we round down to the nearest whole number. Therefore, Berry detailed 9 cars during the week.