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.