Question

The bill for the repair of your car is $505. The cost for parts was $265. The cost for labor is $48 per hourHow many hours were you charged for labor?

Answer 1

5 hours

Step-by-step explanation

Let h be the number of hours per labor. We know that they charge $48 per hour of labor, so for h hours, the cost is $48h.

In this case, the total cost of parts was $265 and that plus the h hours of labor resulted in a bill for a total of $505,

`505=265+48h`

We have to solve this equation for h. First, subtract 265 from both sides,

`\begin{gathered} 505-265=265-265+48h \\ \\ 240=48h \end{gathered}`

And then divide both sides by 48,

`\begin{gathered} (240)/(48)=(48h)/(48) \\ \\ 5=h \end{gathered}`

Hence, you were charged for 5 hours of labor.