A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $9, and tickets cost $20 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.

Let's set up the inequality based on the given information:

### Given:
- Total budget: $125
- Parking cost: $9
- Ticket cost per person: $20

Let $ p $ represent the number of people who can go to the amusement park.

### Step 1: Write the inequality
The total cost for $ p $ people will be the sum of the parking cost and the admission tickets for all $ p $ people. Therefore, the total cost can be expressed as:
\[
9 + 20p
\]
Since they have no more than $125 to spend, the inequality is:
\[
9 + 20p \leq 125
\]

### Step 2: Solve the inequality
\[
9 + 20p \leq 125
\]
Subtract 9 from both sides:
\[
20p \leq 116
\]
Divide by 20:
\[
p \leq \frac{116}{20}
\]
\[
p \leq 5.8
\]

Since $ p $ must be a whole number, the maximum number of people who can go is $ p = 5 $.

### Answer
The inequality is:
\[
9 + 20p \leq 125
\]
The maximum number of people who can go to the amusement park is 5.

Would you like any further details or explanations?

### 5 Related Questions
1. What would be the maximum number of people if parking were free?
2. How would the inequality change if the ticket price increased to $25 per person?
3. What would be the maximum number of people if they had a budget of $150?
4. How much would each friend pay if all 5 people went together and split the total cost equally?
5. What happens if an additional fee of $10 for food is added per person?

### Tip
Always define your variables clearly and understand what each component of an inequality represents when setting up word problems.

A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $9, and tickets cost $20 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.

Learn how to solve the inequality 9 + 20p <= 125 to determine how many friends can go to the amusement park on a $125 budget. This problem involves setting up and solving a linear inequality. Perfect for students in Grades 6-8.

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