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The fuel for a chain saw is a mix of oil and gasoline. The ratio of ounces of oil to gallons is 9 to 11. There are 55 gallons of gasoline. How many ounces of oil are there?

1 Answer

2 votes

Given:

Ratio of ounces of oil to gallons of gasoline = 9 : 11

Gallons of gasoline = 55 gallons

Let's find the ounces of oil.

To find the ounces of oil, we have the equation:


\begin{gathered} \frac{\text{Ratio of ounces of oil}}{Ratios\text{ of gallons of gasoline}}=\frac{\text{Ounces of oil}}{\text{Gallons of gasoline}} \\ \\ \end{gathered}

Thus, we have:


(9)/(11)=(x)/(55)

Let x represent the ounces of oil.

Cross multiply:


\begin{gathered} 11x=9(55) \\ \\ 11x=495 \\ \\ \text{Divide both sides by 11:} \\ (11x)/(11)=(495)/(11) \\ \\ x=45 \end{gathered}

Therefore, there are 45 ounces of oil.

ANSWER:

45 ounces of oil

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