Ella needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3 hours and charged her $61 for parts. The total was $226. Write and solve an equation which can be used to determine xx, the cost of the labor per hour. solve in equation form

To determine the cost of labor per hour, we need to set up an equation using the given information:

- Let **x** be the cost of labor per hour.
- The technician worked for 3 hours, so the total labor cost is $ 3x $.
- The parts cost $61.
- The total cost was $226.

The total cost is the sum of the labor cost and the parts cost, so we can write the equation:

\[
3x + 61 = 226
\]

### Solving the equation:

1. Subtract 61 from both sides:
   \[
   3x = 226 - 61
   \]
   \[
   3x = 165
   \]

2. Divide both sides by 3 to solve for $ x $:
   \[
   x = \frac{165}{3}
   \]
   \[
   x = 55
   \]

### Conclusion:
The cost of labor per hour is **$55**.

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Would you like more details or have any other questions? Here are 5 related questions:

1. How would the equation change if the technician worked for 4 hours instead?
2. If the parts had cost $80, what would be the labor cost per hour?
3. How can you check if the calculated labor rate is correct?
4. What if there was a discount on the total bill? How would that affect the equation?
5. If Ella had a $10 coupon, how would that impact the equation?

**Tip:** Always double-check your final answer by substituting it back into the original equation!

Ella needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3 hours and charged her $61 for parts. The total was $226. Write and solve an equation which can be used to determine x, the cost of the labor per hour.

Learn how to solve a real-world linear equation problem where you determine the labor cost per hour. The problem involves algebraic manipulation and is suitable for students in Grades 6-8. Includes a step-by-step solution for the equation 3x + 61 = 226.

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