Question

Jason's business computers need servicing. The expression 81x + 108 represents a contractor's total charges in dollars for fixing the problem. The expression 103x + 64 represents an electronic store's total charges in dollars for the same work. In both expressions, x is the number of hours it took to complete the job.

Answer 1

2 hours

Explanation:

Given

`Contractor: 81x + 108`

`Electronic\ Store: 103x + 64`

Required

Determine the hours when the charges are the same

To do this, we simply equate both expressions:

`Contractor = Electronic\ Store`

`81x + 108 = 103x + 64`

Collect Like Terms

`81x - 103x = 64 - 108`

`-22x = -44`

Divide both sides by -22

`x =2`