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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 p, the number of people who can go to the amusement park.

Sagot :

Answer:

p=9

Step-by-step explanation:

If parking costs 5 dollars, and tickets cost 20, then it costs $25 a person, p.  So, 225/25 is equal to p.  Since 225/25=9, nine people, p, can go.

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

The solution is p ≤ 11

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

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

p ≤ 11

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

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