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
[tex]\frac{\text{Natural oil}}{\text{Petrolyn motor oil}}=\frac{5}{5+3}=\frac{5}{8}[/tex]
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
[tex]\frac{\text{Natural oil}}{\text{Petrolyn motor oil}}=\frac{x}{792}[/tex]
Equate both ratios,
[tex]\frac{x}{792}=\frac{5}{8}[/tex]
On cross multiplication we get
[tex]8\times x=5\times 792[/tex]
[tex]8x=3960[/tex]
Divide both sides by 8.
[tex]x=\frac{3960}{8}[/tex]
[tex]x=495[/tex]
Therefore total 495 liters of natural oil are needed.
