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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.