Question

Alexandra needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 5.25 hours and charged her $58 for parts. The total was $661.75. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Answer 1

Given:

Alexandra needed to get her computer fixed.

She took it to the repair store.

The technician at the store worked on the computer for 5.25 hours and charged her $58 for parts.

The total was $661.75.

To find:

Write and solve an equation which can be used to determine xx, the cost of the labour per hour.

Solution:

It is given that,

"x" → represents the cost of labour per hour

The no. of hours the technician worked on the computer = 5.25 hours

∴ The cost of labour for 5.25 hrs will be = $ 5.25x

The amount charged for the parts = $ 58

The total amount charged from Alexandra was = $ 661.75

Therefore, we can form the equation as follows:

$\boxed{\bold{5.25x + 58 = 661.75}}$

Now, we will solve for x in the above equation,

$5.25x + 58 = 661.75$

$\implies 5.25x = 661.75- 58$

$\implies 5.25x = 603.75$

$\implies x = \frac{603.75}{5.25}$

$\implies \bold{x = 115}$

Thus, the cost of labour per hour is → $\boxed{\bold{\ \:115}}$.

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