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31 votes
A group of friends wants to go to the amusement park. They have no more than $225to 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, thenumber of people who can go to the amusement park.3Inequality:рSubmit AnswerPrivacy Policy Terms of Service

User Josh Mouch
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1 Answer

11 votes
11 votes

Answer:

Inequality: 5 + 20p ≤ 225

p ≤ 11

Step-by-step explanation:

The total cost can be calculated as the sum of the parking and ticket costs. So, we can calculate the total cost as:

5 + 20p

Because 20p represents the total ticket cost for p people.

Then, this total cost should be less than or equal to 225. It means that the inequality that represents the situation is:

5 + 20p ≤ 225

Finally, we can solve the inequality by subtracting 5 from both sides as:

5 + 20p - 5 ≤ 225 - 5

20p ≤ 220

Then, divide both sides by 20, to get:

20p/20 ≤ 220/20

p ≤ 11

So, the number of people who can go to the amusement park is less than or equal to 11.

Therefore, the answers are:

Inequality: 5 + 20p ≤ 225

p ≤ 11

User AndrewBourgeois
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