Question

A group of friends wants to go to the amusement park. They have $247.50 to spend on parking and admission. Parking is $12, and tickets cost $39.25 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.

Answer 1

To determine the number of people \( pp \) who can go to the amusement park, we need to account for both the parking fee and the cost of tickets for each person.

The total cost consists of two components:
1. Parking cost: \( 12 \) dollars
2. Admission cost for each person: \( 39.25 \times pp \)

The equation representing the total budget for parking and tickets can be written as:

\[
12 + 39.25 \times pp = 247.50
\]

Now, we will solve for \( pp \):

1. Subtract the parking fee from the total budget:

\[
39.25 \times pp = 247.50 - 12
\]
\[
39.25 \times pp = 235.50
\]

2. Divide both sides by \( 39.25 \):

\[
pp = \frac{235.50}{39.25}
\]

Calculating the right side:

\[
pp \approx 6
\]

Thus, the number of people \( pp \) who can go to the amusement park is approximately 6.

To ensure that this is a valid solution, let's check the total cost for 6 people:

- Parking: \( 12 \) dollars
- Admission for 6 people: \( 39.25 \times 6 = 235.50 \)
- Total cost: \( 12 + 235.50 = 247.50 \)

This matches the total amount they have, confirming that the calculation is correct. Therefore, the final answer is:

**6 people can go to the amusement park.**