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8. Open Response In a neighborhood, the ratio of houses with swing sets to houses without swing sets is 3 to 5. If the number of houses with swing sets is 270, how many houses do not have swing sets?

Sagot :

Answer:

450 houses

Explanation:

The ratio of houses with swing sets to houses without swing sets = 3 to 5.

The number of houses with swing sets = 270

Let the number of houses that do not have swing sets = x

Then we have that:

[tex]\begin{gathered} \text{Swing set : No swing set } \\ Ratio=3\colon5 \\ \text{Number}=270\colon x \end{gathered}[/tex]

Equating the two ratios, we have:

[tex]\begin{gathered} 3\colon5=270\colon x \\ \frac{3}{5}=\frac{270}{x} \\ \text{Cross multiply} \\ 3x=270\times5 \\ Divide\text{ each side by 3} \\ x=\frac{270\times5}{3} \\ x=450 \end{gathered}[/tex]

450 houses do not have swing sets.

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