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 \( p \), the number of people who can go to the amusement park. Answer Attempt , out of 5 Equation: Answer: \( p= \)

To determine the number of people \( p \) who can go to the amusement park, we'll set up and solve an equation based on the given information. **Given:** - Total budget: \$235.75 - Cost of parking: \$6.25 - Cost per ticket: \$25.50 per person **Step 1: Set Up the Equation** The total cost consists of the parking fee plus the cost of tickets for all people: \[ \text{Total Cost} = \text{Parking} + (\text{Ticket Price} \times \text{Number of People}) \] Plugging in the known values: \[ 6.25 + 25.50p = 235.75 \] **Step 2: Solve for \( p \)** Subtract the parking cost from both sides to isolate the term with \( p \): \[ 25.50p = 235.75 - 6.25 \] \[ 25.50p = 229.50 \] Divide both sides by 25.50 to solve for \( p \): \[ p = \frac{229.50}{25.50} \] \[ p = 9 \] **Answer:** \[ p = 9 \] This means **9 people** can go to the amusement park within the budget of \$235.75.