Victoria needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 2.25 hours and charged her $70 for parts. The total was $193.75. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Answer 1

To determine the cost of labor per hour (denoted as \( x \)), we can set up the following equation based on the information provided:

1. Victoria was charged $70 for parts.
2. The technician worked for 2.25 hours and charged \( x \) dollars per hour for labor.
3. The total cost for the repair was $193.75.

The equation for the total cost can be expressed as:

\[ \text{Total Cost} = \text{Cost of Parts} + \text{Cost of Labor} \]

Inserting the values we have:

\[ 193.75 = 70 + (2.25 \cdot x) \]

Now, we can simplify and solve for \( x \):

1. First, subtract the cost of parts from both sides:

\[ 193.75 - 70 = 2.25x \]

\[ 123.75 = 2.25x \]

2. Next, divide both sides by 2.25 to isolate \( x \):

\[ x = \frac{123.75}{2.25} \]

Calculating the right-hand side gives:

\[ x = 55 \]

Thus, the cost of labor per hour is \( \boxed{55} \).