Question

Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 3 liters of synthetic oil. In order to make 792 liters of Petrolyn oil, how many liters of natural oil are needed?

Answer 1

Total 495 liters of natural oil are needed.

Step-by-step explanation:

It is given that Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 3 liters of synthetic oil.

It means the ratio of natural oil and synthetic oil is

`\frac{\text{Natural oil}}{\text{Petrolyn motor oil}}=(5)/(5+3)=(5)/(8)`

Let in order to make 792 liters of Petrolyn oil he needs x liters of natural oil.

It means the ratio of natural oil and synthetic oil is

`\frac{\text{Natural oil}}{\text{Petrolyn motor oil}}=(x)/(792)`

Equate both ratios,

`(x)/(792)=(5)/(8)`

On cross multiplication we get

`8* x=5* 792`

`8x=3960`

Divide both sides by 8.

`x=(3960)/(8)`

`x=495`

Therefore total 495 liters of natural oil are needed.