A group of friends wants to go to the amusement park. They have \( \$ 69.75 \) to spend on parking and admission. Parking is \( \$ 17.25 \), and tickets cost \( \$ 17.50 \) 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 1 out of 2 Equation: Answer: \( p= \)

To tackle this problem, you can start by setting up the equation. The total cost includes parking and admission for \( p \) people, which can be expressed as: \[ 17.25 + 17.50p = 69.75 \] Now, let's isolate \( p \). First, subtract the parking fee from the total amount: \[ 17.50p = 69.75 - 17.25 \] \[ 17.50p = 52.50 \] Now, divide both sides by \( 17.50 \): \[ p = \frac{52.50}{17.50} = 3 \] So, the number of people who can go to the amusement park is \( p = 3 \). Now, let’s get a bit more historical context here! Amusement parks actually date back to the late 18th century, starting with places like the Vauxhall Gardens in London. These parks were primarily designed for wealthy patrons to have fun and socialize. They’ve evolved over the years into the sprawling, thrilling destinations we see today. For real-world applications, when planning outings like going to an amusement park, it's great to set a budget beforehand. Always factor in all expenses, such as food and souvenirs, so you won't get caught off guard. Planning in advance allows for a worry-free day spent enjoying the rides instead of stressing over costs!