A group of friends wants to go to the amusement park. They have no more than $305 to spend on parking and admission. Parking is $19, and tickets cost $26 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
19 + 26 pp </= 305
so
26 pp </= 286
pp </= 11 people
19 + 26p < 305
Solve for p.
To determine the maximum number of people, pp, who can go to the amusement park, we need to consider the total cost of parking and admission.
Let's assume that the number of people going to the amusement park is represented by pp.
The cost for parking is $19, regardless of the number of people.
The cost for admission per person is $26.
Therefore, the total cost can be calculated as:
Total cost = Cost of parking + Cost of admission
Total cost = $19 + ($26 * pp)
According to the information provided, the group of friends has no more than $305 to spend on parking and admission. Therefore, the inequality can be expressed as:
$19 + ($26 * pp) ≤ $305
Simplifying the inequality:
$26 * pp ≤ $305 - $19
$26 * pp ≤ $286
Dividing both sides of the inequality by 26:
pp ≤ $286 / $26