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.
Let's assume that the number of people who can go to the amusement park is xx.
The total cost of parking for xx people is 5 * xx dollars.
The total cost for xx tickets is 13.50 * xx dollars.
According to the problem, they have 86 dollars to spend, so we can set up the equation:
5 * xx + 13.50 * xx = 86
Combining like terms, we get:
18.50 * xx = 86
To find xx, we need to isolate the variable. Dividing both sides of the equation by 18.50:
xx = 86 / 18.50
Calculating,
xx ≈ 4.65
Since the number of people must be a whole number, we can conclude that 4 people can go to the amusement park with the given budget.