Math Problem Statement
Rashon needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 4.25 hours and charged him $141 for parts. The total was $332.25. Write and solve an equation which can be used to determine xx, the cost of the labor per hour. solve in equation form
Solution
Let's break down the problem step by step.
- The technician worked on Rashon's computer for 4.25 hours.
- The technician charged him $141 for parts.
- The total amount Rashon paid was $332.25.
- The variable represents the cost of labor per hour.
The equation will consist of two components: the labor cost and the parts cost.
- The labor cost is , where is the labor cost per hour and 4.25 is the number of hours.
- The parts cost is $141.
The total cost is the sum of these two components:
Solving the equation:
Subtract 141 from both sides to isolate the term with :
Now, divide both sides by 4.25 to find :
Conclusion:
The cost of labor per hour is $45.
Would you like more details or have any questions?
Here are 5 related questions:
- What would the total cost be if the technician worked for 6 hours instead?
- How much would the parts need to cost to make the total $400?
- If the technician worked 3 more hours, how much would Rashon pay in total?
- How much would Rashon save if the labor cost was $40 per hour?
- What would the total cost be if only the parts were $200 and no labor was required?
Tip: When solving word problems, always break them into parts to create an equation step by step!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Linear equation in the form ax + b = c
Theorems
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Suitable Grade Level
Grades 6-8