A group of friends wants to go to the amusement park. They have no more than $235 to spend on parking and admission. Parking is $7.50, and tickets cost $32.50 per person, including tax. Write and solve an inequality which can be used to determine x*x*, the number of people who can go to the amusement park.

Let's define the inequality to determine how many people, $ x $, can go to the amusement park.

- The total money they have is **$235**.
- Parking costs **$7.50**.
- Each ticket costs **$32.50** per person.

The total cost for parking and $ x $ people to attend is:
\[
7.50 + 32.50x
\]
This total must be **less than or equal to** the amount of money they have, which is $235. So, the inequality is:
\[
7.50 + 32.50x \leq 235
\]

### Solving the inequality:

1. Subtract **7.50** from both sides:
\[
32.50x \leq 235 - 7.50
\]
\[
32.50x \leq 227.50
\]

2. Divide both sides by **32.50**:
\[
x \leq \frac{227.50}{32.50}
\]
\[
x \leq 7
\]

### Conclusion:
No more than **7 people** can go to the amusement park.

Would you like further details or explanations?

---

Here are 5 related questions for practice:
1. What if parking was $10 instead of $7.50?
2. How would the inequality change if the ticket price increased to $35 per person?
3. What would the inequality look like if the total budget increased to $300?
4. How many people could go if they only had $200 to spend?
5. If they decided not to pay for parking, how many people could attend?

**Tip:** When solving inequalities, always isolate the variable step by step, just like in equations.

A group of friends wants to go to the amusement park. They have no more than $235 to spend on parking and admission. Parking is $7.50, and tickets cost $32.50 per person, including tax. Write and solve an inequality which can be used to determine x, the number of people who can go to the amusement park.

Learn how to solve the inequality 7.50 + 32.50x <= 235 to determine how many friends can attend the amusement park with a $235 budget. This example teaches key algebraic concepts, including solving linear inequalities and calculating total costs, suitable for students in Grades 6-8.

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