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.

1 answer

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.
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