Question

A group of friends wants to go to the amusement park. They have $86 to spend on parking and admission. Parking is $5, and tickets cost $13.50 per person, including tax. Write and solve an equation which can be used to determine xx, the number of people who can go to the amusement park.
Answer
Attempt 1 out of 2

Equation:
Answer: xx =

Answer 1

To determine \(x\), the number of people who can go to the amusement park, we start by considering the costs for parking and admission.

1. The cost of parking is $5.
2. The cost of admission per person is $13.50.

The total amount of money available is $86. The total cost for parking and admission can be expressed with the following equation:

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

Substituting in the known values:

\[
86 = 5 + (13.50 \times x)
\]

Now, we can solve the equation for \(x\):

1. Subtract the parking cost from both sides:

\[
86 - 5 = 13.50x
\]

\[
81 = 13.50x
\]

2. Now, divide both sides by 13.50 to isolate \(x\):

\[
x = \frac{81}{13.50}
\]

3. Perform the division:

\[
x = 6
\]

So, the solution is:

**Equation:**
\[
86 = 5 + 13.50x
\]

**Answer:**
\[
x = 6
\]

This means 6 people can go to the amusement park with the given budget.