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?

Respuesta :

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:

[tex]\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}[/tex]

Thus, we have:

[tex]\frac{9}{11}=\frac{x}{55}[/tex]

Let x represent the ounces of oil.

Cross multiply:

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

Therefore, there are 45 ounces of oil.

ANSWER:

45 ounces of oil