mechanic charges a $100 service fee and $95 per hour to work on your car. Your bill was $1145.



To determine how many hours the mechanic worked on your car, we can set up an equation.

The total cost of the service is made up of:
- A $100 service fee.
- $95 per hour for the mechanic's labor.

Given that the total bill is $1145, we can form the following equation:

\[
100 + 95h = 1145
\]

Where $ h $ is the number of hours the mechanic worked.

Now, solving for $ h $:

1. Subtract $100 from both sides:

\[
95h = 1145 - 100
\]

\[
95h = 1045
\]

2. Divide both sides by $95 to find the number of hours:

\[
h = \frac{1045}{95}
\]

\[
h = 11
\]

So, the mechanic worked **11 hours** on your car.

Would you like more details or have any questions?

Here are 5 related questions:
1. How much would the bill be if the mechanic worked for 8 hours?
2. What would the hourly rate be if the total bill was $1295 for 12 hours?
3. If another mechanic charges a $150 service fee and $90 per hour, how many hours would they need to work to match the $1145 bill?
4. What would the total cost be if the hourly rate increased to $100 and the mechanic worked for 11 hours?
5. How many hours would result in a total bill of $1000 under the same conditions?

**Tip:** Always break down word problems into parts (fixed cost, variable cost, etc.) before solving the equation.

mechanic charges a $100 service fee and $95 per hour to work on your car. Your bill was $1145.

Learn how to solve a linear equation to determine how many hours a mechanic worked based on a total bill of $1145, a $100 service fee, and a $95 hourly rate. This step-by-step guide covers key algebraic concepts and is suitable for students in Grades 6-8.

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