Question
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.
Answers
GPT-4o mini
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 \( \boxed{55} \).
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 \( \boxed{55} \).