Question

A contractor charges $273 to tile a 120-square-foot patio and $368 to tile a 170-square-foot patio. The contractor charged a customer $539 to tile a patio under this same pricing plan. What was the area of the patio that was tiled?
Question 8 options:

1070 sq ft

494 sq ft

341 sq ft

260 sq ft

Answer 1

To solve this problem you can apply the proccedure shown below:

1. You have that the contractor charges$273dollars$ to tile a $120ft^{2}$ patio and $368dollars$ to tile a $170ft^{2}$. Then, you have:

$170ft^{2}-120ft^{2} =50ft^{2}$

$368dollars-273dollars=95dollars$

2. As you can see, the price increases $95dollars$ each $50ft^{2}$. Therefore, based on this, if the contractor charged a customer $539dolllars$ to tile a patio, you can calculate the difference between the first price and this one:

$539dollars-273dollars=266dollars$

3. Then, if the price increases $95dollars$ each $50ft^{2}$, the area of this patio is:

$A=120 ft^{2}+\frac{(266dollars)(50ft^{2})}{95dollars} \\ A= 260ft^{2}$

The answer is: $260ft^{2}$