Question

Petrolyn motor oil is a combination or natural oil and synthetic oil. It contains 3 liters of natural oil for every 2 liters of synthetic oil. In order to make 275 liters of Petrolyn oil, how many liters of natural oil are needed?

Answer 1

165 liters.

Explanation:

Given:

Petrolyn motor oil is a combination or natural oil and synthetic oil.

It contains 3 liters of natural oil for every 2 liters of synthetic oil.

Question asked:

In order to make 275 liters of Petrolyn oil, how many liters of natural oil are needed?

Solution:

It is given that Petrolyn motor oil contains 3 liters of natural oil for every 2 liters of synthetic oil that means ratio of natural oil and synthetic oil is 3 : 2.

Now, in order to make 275 liters of Petrolyn oil, we will have to combine both natural and synthetic oil.

Let ratio be
`x`

Then quantity of natural oil in liters =
`3x`

And quantity of synthetic oil in liters =
`2x`

To make 275 liters of Petrolyn oil,

Quantity of natural oil in liters + quantity of synthetic oil in liters = 275

`3x + 2x = 275\\5x = 275`

Dividing both sides by 5

`(5x)/(5) = (275)/(5) \\x = 55`

`3x` =
`3* 55 =165` liters

Therefore, 165 liters of natural oil are needed to make 275 liters of Petrolyn oil.