Suppose that a plumbing repair bill, not including tax, was $120. This included $25 for parts and an amount for 2 hours of labor. Find the hourly rate that was charged for labor.

2x = 120 - 25

Solve for x.

2x=120-25

2x=95

95/2

x=47.50

To find the hourly rate charged for labor, we need to divide the total labor cost by the number of hours worked.

Given that the total bill was $120 and it included $25 for parts, we can find the labor cost by subtracting the cost of parts from the total bill:

Labor cost = Total bill - Cost of parts
Labor cost = $120 - $25
Labor cost = $95

We also know that the labor cost includes 2 hours of work.

To find the hourly rate, we divide the labor cost by the number of hours:

Hourly rate = Labor cost / Number of hours
Hourly rate = $95 / 2
Hourly rate = $47.50

Therefore, the hourly rate that was charged for labor is $47.50.