A group of friends wants to go to the amusement park. They have no more than $115 to spend on parking and admission. Parking is $15, and tickets cost $25 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.


Let's define the variable $ x $ as the number of people who can go to the amusement park.

The total cost for parking is $15. Each person’s admission ticket costs $25. Therefore, the total cost for $ x $ people is the sum of the parking fee and the cost of the tickets.

The inequality representing the total cost should not exceed $115, so we have:

\[
15 + 25x \leq 115
\]

Now, solve the inequality for $ x $:

1. Subtract 15 from both sides:

\[
25x \leq 100
\]

2. Divide both sides by 25:

\[
x \leq 4
\]

Thus, the maximum number of people who can go to the amusement park is 4.

### Conclusion:
At most, 4 people can go to the amusement park without exceeding $115.

Would you like more details or further explanation? Here are five related questions for practice:

1. What would the inequality be if parking were free?
2. How much would it cost if 3 people went to the amusement park?
3. What if the total budget was $150 instead of $115?
4. How would the inequality change if the ticket price increased to $30?
5. How would you solve if there was a $10 discount on the total cost?

**Tip:** When solving inequalities, always keep track of how operations affect the inequality symbol, especially when multiplying or dividing by negative numbers.

A group of friends wants to go to the amusement park. They have no more than $115 to spend on parking and admission. Parking is $15, and tickets cost $25 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 a linear inequality that helps determine how many people can attend the amusement park with a budget of $115. This problem involves algebraic concepts, including solving inequalities and understanding linear equations. Ideal for students in Grades 6-8.

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