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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.

Question

A group of friends wants to go to the amusement park. They have 86tospendonparkingandadmission.Parkingis86 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.

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Solution

First, let's set up the equation. We know that the total cost is $86, which includes the cost of parking and the cost of admission for each person.

The cost of parking is 5,andthecostofadmissionperpersonis5, and the cost of admission per person is 13.50. If we let x represent the number of people, then the total cost can be represented as:

5 + 13.50x = 86

Next, we solve for x. First, subtract 5 from both sides of the equation:

13.50x = 81

Then, divide both sides by 13.50 to solve for x:

x = 81 / 13.50

x ≈ 6

So, approximately 6 people can go to the amusement park with $86. However, since you can't have a fraction of a person, only 6 people can go to the amusement park.

This problem has been solved

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