Answer
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:
[tex]4x+3x=448[/tex]
Next, we solve for x:
[tex]\begin{gathered} 4x+3x=448 \\ Simplify\text{ and rearrange} \\ 7x=448 \\ x=\frac{448}{7} \\ Calculate \\ x=64 \end{gathered}[/tex]
Then, we get the amount of synthetic oil:
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