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

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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 = [tex]\frac{7}{2} \ quarts.[/tex]

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.

[tex]50\times \frac{7}{2}[/tex]

[tex]=50\times 3.5[/tex]

[tex]=175\ quarts.[/tex]

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:

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 = [tex]3\frac{1}{2} =\frac{3\times2+1}{2} =\frac{7}{2} \ quarts[/tex]

A car company recover from 50 cars = [tex]\frac{7}{2} \times50=\frac{350}{2} =175\ quarts[/tex]

Now, we will convert it into gallons:

As we know that 1 quart = 0.25 gallons

                        175 quarts = [tex]0.25\times175=43.75\ gallons[/tex]

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

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