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

Answer:

2 hours

Step-by-step 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

$x =2$