Question

A group of friends wants to go to the amusement park. They have no more than $225 to spend on parking and admission. Parking is $5, and tickets cost $20 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.

Answer 1

write and solve an inequality to determine the number of people who can go to the amusement park.

The friends have a maximum of $225 to spend.

The parking is independent of p, the number of friends, and it costs $5, discounting that we get: $225 - $5 = $220

`225-5=220`

Each ticket costs $20, so the cost for p people is:

P($20)

And this must be equal to or smaller than $220, then we get the inequality:

p*$20 ≤ $220

To solve it for p, we need to divide both sides by $20, we will get:

p*$20/$20 ≤ $220/$20

`\begin{gathered} P\le(220)/(20) \\ P\le11 \end{gathered}`

This inequality gives the number of people that can go to the amusement park.

`P\le11`