Question

A mechanic used 49 quarts of oil to change the oil in 7 cars. At this rate, how much oil would he use to change the oil in 17 cars? Explain how you know.

Options:
A) 77 quarts
B) 85 quarts
C) 91 quarts
D) 98 quarts

Answer 1

To find how much oil is needed for 17 cars, divide the total quarts used by the number of cars (49 quarts / 7 cars) to find the quarts per car, then multiply that rate by 17 cars. The mechanic would need 119 quarts of oil.

Step-by-step explanation:

To determine how much oil a mechanic would use to change the oil in 17 cars, we need to use the rate established by the initial data – the mechanic used 49 quarts of oil to change the oil in 7 cars. To find out how much oil is used for one car, we divide the total amount of oil by the number of cars:

49 quarts / 7 cars = 7 quarts per car

Now, we multiply the amount of oil used for one car by the number of cars we are interested in, which is 17:

7 quarts per car x 17 cars = 119 quarts

Therefore, the mechanic would use 119 quarts of oil to change the oil in 17 cars.