Question

A group of friends wants to go to the amusement park. They have $235.75 to spend on parking and admission. Parking is $6.25, and tickets cost $25.50 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

Equation:
Answer: pp =

Answer 1

To determine the number of people \( pp \) who can go to the amusement park, we can set up the following equation based on the total amount of money available:

The cost for parking is $6.25, and the cost for admission per person is $25.50. Therefore, the total cost for \( pp \) people can be expressed as:

\[
\text{Total Cost} = \text{Parking Cost} + (\text{Cost per person} \times \text{Number of people})
\]

In this case:

\[
\text{Total Cost} = 6.25 + (25.50 \times pp)
\]

The total amount of money available to spend is $235.75. So we can set up the equation:

\[
6.25 + 25.50pp = 235.75
\]

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

1. Subtract the parking cost from both sides:

\[
25.50pp = 235.75 - 6.25
\]

\[
25.50pp = 229.50
\]

2. Divide both sides by 25.50:

\[
pp = \frac{229.50}{25.50}
\]

Calculating the right side:

\[
pp = 9
\]

Thus, the equation and solution are:

**Equation:** \( 6.25 + 25.50pp = 235.75 \)

**Answer:** \( pp = 9 \)

This means 9 people can go to the amusement park.