Question

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?

Answer 1

450 houses

Step-by-step 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:

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

Equating the two ratios, we have:

`\begin{gathered} 3\colon5=270\colon x \\ (3)/(5)=(270)/(x) \\ \text{Cross multiply} \\ 3x=270*5 \\ Divide\text{ each side by 3} \\ x=(270*5)/(3) \\ x=450 \end{gathered}`

450 houses do not have swing sets.