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)+((266dollars)(50ft^(2)))/(95dollars) \\ A= 260ft^(2)`

The answer is:
`260ft^(2)`