Question

A tile store charges $585.00 to install 130 square feet of tile. Assuming they charge the same rate per square foot regardless of the amount of tile installed, how much would they charge to install 500 square feet of tile?Translate to a proportion: $_/_Square feet=x/_square feetThey would charge ______ to install 500 square feet of tile.The unit price for installation per square foot of tile is _____.

Answer 1

Given:

A tile store charges $585.00 to install 130 square feet of tile.

Required:

To find the required amount to install 500 square feet of tile.

Explanation:

Let x be the required amount.

Now

$\begin{gathered} 585-130 \\ x-500 \end{gathered}$$\begin{gathered} \frac{585}{130}=\frac{x}{500} \\ \\ 585\times500=x\times130 \\ \\ x=\frac{585\times500}{130} \\ \\ x=2,250 \end{gathered}$

Now

The unit price for installation per square foot of tile is

$\begin{gathered} =\frac{585}{130}\times1 \\ \\ =4.5 \end{gathered}$

Final Answer:

They would charge $2,250 to install 500 square feet of tile.

The unit price for installation per square foot of tile is $4.5