Calculating Oil Ratios in a Recipe

A recipe requires two different oils in the ratio of 5:3. If the total volume of oil required for the recipe is 64 ounces, how many ounces of the first oil are needed?

Let the volume of the first oil be represented as $$5x$$ and the volume of the second oil as $$3x$$. The total volume of oil can be expressed by the equation:

$$5x + 3x = 64$$

Solve for $$x$$ to find the amount of the first oil.