Question

The Smith family and the Jackson family are having their basements remodeled. The? Smith's contractor charges? $16.50 per hour plus? $289 in supplies. The? Jackson's contractor charges? $18.75 per hour and? $274.60 in supplies. At how many hours of work will the total cost be the same for both? families?

Answer 1

6.4 hours

Explanation:

Answer 2

Find out the At how many hours of work will the total cost be the same for both families .

To prove

Let us assume that the number of hours at which the total cost be the same for both families be x .

As given

Smith's family contractor charges $16.50 per hour plus $289 in supplies .

Jackson's family contractor charges $18.75 per hour and $274.60 in supplies.

Than the equation becomes

16.50x + 289 = 18.75x + 274.60

16.50x - 18.75x = 274.60 - 289

-2.25x = -14.4

`x =(14.4)/(2.25)`

x = 6.4 hours

Therefore in 6.4 hours of work will the total cost be the same for both families .