Jonathan needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 3 hours and charged him $141 for parts. The total was $336. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Answer

Equation:
Answer: xx =

1 answer

To determine the cost of labor per hour, we can set up an equation based on the total cost incurred by Jonathan.

Let's define:

  • \( x \): the cost of labor per hour (in dollars)
  • The cost for labor can be calculated as \( 3x \) because the technician worked for 3 hours.
  • The total cost incurred by Jonathan is the sum of the parts and labor costs, which is $336.

We can formulate the following equation:

\[ 3x + 141 = 336 \]

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

  1. Subtract the cost of parts from the total cost:

\[ 3x = 336 - 141 \]

  1. Calculate the right side:

\[ 3x = 195 \]

  1. Divide both sides by 3 to find \( x \):

\[ x = \frac{195}{3} = 65 \]

So, the cost of labor per hour is:

\[ x = 65 \]

Final Answers:

Equation: \( 3x + 141 = 336 \)
Answer: \( x = 65 \)