Jalen earns $8 per hour plus tips working at Outback. Anita earns $13 per hour working at Planet Fitness. Theyearn the same amount if Jalen makes $52 in tips.

Let's analyze the situation to determine how much Jalen and Anita each earn in total.

### Jalen's Earnings:
- Jalen earns $8 per hour plus tips.
- If Jalen makes $52 in tips, his total earnings are:
  \[
  \text{Jalen's total earnings} = 8x + 52
  \]
  where $ x $ is the number of hours he works.

### Anita's Earnings:
- Anita earns $13 per hour.
- Her total earnings are:
  \[
  \text{Anita's total earnings} = 13x
  \]
  where $ x $ is also the number of hours she works.

### Condition:
- They earn the same amount, so:
  \[
  8x + 52 = 13x
  \]

### Solving for $ x $:
1. Subtract $ 8x $ from both sides:
   \[
   52 = 5x
   \]
2. Divide both sides by 5:
   \[
   x = \frac{52}{5} = 10.4
   \]

### Conclusion:
Jalen and Anita both work for 10.4 hours to earn the same amount of money when Jalen makes $52 in tips.

Would you like more details or have any questions?

Here are some related questions:
1. What would happen if Jalen made more than $52 in tips?
2. How much more does Anita earn per hour compared to Jalen?
3. What if Jalen worked fewer hours? How much would he need in tips to match Anita's earnings?
4. How much does Jalen need to make in tips to earn more than Anita?
5. What are their total earnings after working 10 hours?

**Tip:** Understanding how to set up equations from word problems is crucial for solving these kinds of problems efficiently.

Jalen earns $8 per hour plus tips working at Outback. Anita earns $13 per hour working at Planet Fitness. They earn the same amount if Jalen makes $52 in tips.

Find out how to solve a problem comparing Jalen's earnings of $8 per hour plus $52 in tips with Anita's $13 per hour. This step-by-step solution explores linear equations, perfect for students in Grades 6-8.

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