Lauren needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $119 for parts. The total cost was $400.25. Write and solve an equation which can be used to determine x, the cost of the labor per hour.

Answer 1

Let x be the cost of the labor per hour.
The technician worked on the computer for 3.75 hours, so the labor cost for the computer repair is 3.75x.
Adding the cost of parts, the total cost of the repair is 3.75x + $119.
We are told that the total cost of the repair is $400.25, so we can write the equation:
3.75x + $119 = $400.25.
To solve for x, we subtract $119 from both sides of the equation:
3.75x = $400.25 - $119
3.75x = $281.25
Finally, to solve for x, we divide both sides of the equation by 3.75:
x = $281.25 / 3.75
x = $75
Therefore, the cost of the labor per hour is $75.