Question

Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 8 liters of natural oil for every 5 liters of synthetic oil. In order to make 962 liters of Petrolyn oil, how many liters of synthetic oil are needed?

Answer 1

Answer:  370 liters

Step-by-step explanation:

Given : Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 8 liters of natural oil for every 5 liters of synthetic oil.

Then , the amount of Petrolyn oil made by above composition =$8+5=13\text{ liters}$

Also, the amount of petrolyn oil is proportional to the amount of synthetic oil.

Let x be the amount of synthetic oil need ot make 962 liters of Petrolyn oil, the we have the following equation:-

$\dfrac{x}{962}=\dfrac{5}{13}\\\\\Rightarrow\ x=\dfrac{5\times962}{13}=370$

Hence, In order to make 962 liters of Petrolyn oil, 370 liters of synthetic oil is needed .