Question

Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 4 liters of natural oil for every 3 liters of synthetic oil. In order to make 44S of petroylyn oil, how many liters of synthetic oil are needed?

Answer 1

Step-by-step explanation

Given the word problem, we can deduce the following information:

1. Petrolyn motor oil is a combination of natural oil and synthetic oil.

2. It contains 4 liters of natural oil for every 3 liters of synthetic oil.

To determine the amount in liters of synthetic oil needed in order to make 448 liters f petroylyn oil, we first let x be the number of portions in 448 liters of mixture. Hence, the equation would be:

`4x+3x=448`

Next, we solve for x:

`\begin{gathered} 4x+3x=448 \\ Simplify\text{ and rearrange} \\ 7x=448 \\ x=(448)/(7) \\ Calculate \\ x=64 \end{gathered}`

Then, we get the amount of synthetic oil: