Question

Jocelyn needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4.75 hours and charged her $77 for parts. The total was $290.75. 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 labor per hour.
The total cost Jocelyn paid includes the cost of parts and the cost of labor, which is calculated by multiplying the cost of labor per hour by the number of hours worked. Therefore, an equation can be set up as:
77 + 4.75x = 290.75
Subtracting 77 from both sides:
4.75x = 213.75
Dividing both sides by 4.75:
x = 45
Therefore, the cost of labor per hour is $45.

Answer 2

The equation will be

4.75x + 77 = 290.75
Solve for x to get

4.75x = 213.75 = 45

x=45
The cost f the labor per hour is $45.

Answer 3

Yes, that is correct! We arrived at the same answer.

Answer 4

Good work..!

Answer 5

Thank you, happy to assist!