A group of friends wants to go to the amusement park. They have no more than $290 to spend on parking and admission. Parking is $11, and tickets cost $23.25 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.
The number of people who can go to the amusement park can be determined by the inequality:
$11 + $23.25x ≤ $290
Where x represents the number of people.
To solve this inequality, we first subtract $11 from both sides of the inequality:
$23.25x ≤ $279
Next, we divide both sides of the inequality by $23.25 to isolate x:
x ≤ $279 / $23.25
x ≤ 12
Therefore, the group of friends can have at most 12 people go to the amusement park.