Answer: 370 liters
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 =

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:-

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