Question

4 liters of natural oil for every 3 liters of synthetic oil. in order to make 567 liters of Petrolyn oil how many liters of natural oil are needed?

Answer 1

In order to calculate the amount of natural oil needed, let's write the following rule of three:

$\begin{gathered} \text{natural oil}\to\text{ synthetic oil}\to\text{petrolyn oil} \\ 4\text{ liters}\to3\text{ liters}\to7\text{ liters} \\ x\text{ liters}\to y\text{ liters}\to567\text{ liters} \end{gathered}$

Using the proportion of natural oil to petrolyn oil, we have:

$\frac{4}{x}=\frac{7}{567}$

Now, solving for x, we have:

$\begin{gathered} 4\cdot567=x\cdot7 \\ x=\frac{4\cdot567}{7} \\ x=324\text{ liters} \end{gathered}$

Therefore 324 liters of natural oil is needed.