Question

1. parts to fix your car cost $55.35. the mechanic charges $35 per hour for labor. the final bill is $177.85. how long did the mechanic work on your car? write and solve an equation. show your work.

Explanation:

Step1: Set up the equation

Let \(x\) be the number of hours the mechanic worked. The cost of parts is \(55.35\) dollars and the cost of labor is \(35x\) dollars. The total bill is \(177.85\) dollars. So the equation is \(55.35 + 35x=177.85\).

Step2: Solve for \(x\)

Subtract \(55.35\) from both sides of the equation:
\(35x=177.85 - 55.35\)
\(35x = 122.5\)
Then divide both sides by \(35\):
\(x=\frac{122.5}{35}\)
\(x = 3.5\)

Answer:

The mechanic worked \(3.5\) hours.