A group of friends wants to go to the amusement park. They have no more than $115 to spend on parking and admission. Parking is $15, and tickets cost $25 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.
Let x be the number of people who can go to the amusement park.
The cost of parking for the group is $15.
The cost of tickets for the group is $25x (since each ticket costs $25 and there are x people).
The total cost for the group is $15 + $25x.
According to the problem, the total cost should not exceed $115.
Therefore, the inequality is:
15 + 25x ≤ 115.
Subtracting 15 from both sides, we get:
25x ≤ 100.
Dividing both sides by 25, we get:
x ≤ 4.
Therefore, the number of people who can go to the amusement park is 4 or less.