Question

Suppose a car repair company changes the oil of 50 cars and they recover an average of 3 1/2 quarts of oil from each car.How many gallons of oil did they recover

Answer 1

Answer:

They recover 43.75 gallons of oil.

Step-by-step explanation:

A car repair company changes the oil of 50 cars and they recover an average of 3 1/2 quarts of oil from each car.

Now, to find the gallons of oil they recover.

Number of cars the car company changes the oil = 50.

Quantity of oil they recover from each car = $\frac{7}{2} \ quarts.$

Now, to get the total quantity of oil they recover we multiply number of cars the car company changes the oil by quantity of oil they recover from each car:

Number of cars the car company changes the oil × Quantity of oil they recover from each car.

$50\times \frac{7}{2}$

$=50\times 3.5$

$=175\ quarts.$

The car company recovers 175 quarts of oil.

Now, to get the gallons of oil we convert the quarts into gallons by using conversion factor:

1 quart = 0.25 gallon.

175 quarts = 0.25 × 175 gallons.

175 quarts = 43.75 gallons.

Therefore, they recover 43.75 gallons of oil.

Answer 2

Answer:

43.75 gallons

Step-by-step explanation:

Given:

Suppose a car repair company changes the oil of 50 cars and they recover an average of 3 1/2 quarts of oil from each car.

Question asked:

How many gallons of oil did they recover ?

Solution:

By unitary method:

A car company recover from 1 car = $3\frac{1}{2} =\frac{3\times2+1}{2} =\frac{7}{2} \ quarts$

A car company recover from 50 cars = $\frac{7}{2} \times50=\frac{350}{2} =175\ quarts$

Now, we will convert it into gallons:

As we know that 1 quart = 0.25 gallons

                        175 quarts = $0.25\times175=43.75\ gallons$

Thus, a car company recover 43.75 gallons of oil from 50 cars.