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

Answer:

Total 495 liters of natural oil are needed.

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

$\frac{\text{Natural oil}}{\text{Petrolyn motor oil}}=\frac{5}{5+3}=\frac{5}{8}$

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

$\frac{\text{Natural oil}}{\text{Petrolyn motor oil}}=\frac{x}{792}$

Equate both ratios,

$\frac{x}{792}=\frac{5}{8}$

On cross multiplication we get

$8\times x=5\times 792$

$8x=3960$

Divide both sides by 8.

$x=\frac{3960}{8}$

$x=495$

Therefore total 495 liters of natural oil are needed.