Pete earns $2.50 per hour plus tips. On Tuesday, he received $50 in tips. How many hours did  Pete work if he earned a total of $65 on Tuesday?

Let's break this down step by step:

Pete earns:
- $2.50 per hour.
- On Tuesday, he received $50 in tips.
- The total amount he earned on Tuesday is $65.

To find how many hours Pete worked, we need to set up the equation:

\[
\text{Total earnings} = (\text{Hourly rate} \times \text{Hours worked}) + \text{Tips}
\]

Substitute the known values into the equation:

\[
65 = (2.50 \times \text{Hours worked}) + 50
\]

Now, subtract the $50 tips from both sides:

\[
65 - 50 = 2.50 \times \text{Hours worked}
\]

\[
15 = 2.50 \times \text{Hours worked}
\]

Next, divide both sides by 2.50 to solve for the hours worked:

\[
\text{Hours worked} = \frac{15}{2.50} = 6
\]

So, Pete worked **6 hours** on Tuesday.

Would you like more details on this solution?

Here are 5 related questions to consider:
1. How much would Pete earn if he worked 8 hours and received $60 in tips?
2. If Pete worked 10 hours and earned $100 in tips, what would his total earnings be?
3. How many hours would Pete need to work to earn $100 in total with $30 in tips?
4. If Pete's hourly wage increased to $3.50, how many hours would he need to work to earn $80 without tips?
5. What is the minimum amount Pete could earn on a day if he worked 5 hours without receiving any tips?

**Tip**: When solving problems with multiple variables (like hourly wage and tips), it's helpful to isolate each variable step by step to simplify the equation.

Pete earns $2.50 per hour plus tips. On Tuesday, he received $50 in tips. How many hours did Pete work if he earned a total of $65 on Tuesday?

Learn how to determine the number of hours worked given an hourly wage of $2.50 and $50 in tips with a total earning of $65. This problem involves basic algebraic concepts suitable for students in Grades 6-8.

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