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A group of friends wants to go to the amusement park. They have no more than $155 to spend on parking and admission. Parking is $18, and tickets cost $24 per person, including tax. What is the maximum number of people who can go to the amusement park?

User Shim
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1 Answer

3 votes

Answer:

5

Explanation:

Define the variable:

  • Let x be the number of people who can go to the amusement park.

Given information:

  • Maximum amount to spend = $155
  • Cost of parking = $18
  • Cost of tickets per person = $24

Create an inequality using the defined variable and given information to model the scenario:


\implies \textsf{Parking cost}+\textsf{Total ticket cost} \leq \textsf{Max amount available}


\implies 18 + 24x \leq 155

To find the maximum number of people who can go to the amusement park, solve the inequality.


\implies 18 + 24x-18 \leq 155-18


\implies 24x \leq 137


\implies (24x)/(24) \leq (137)/(24)


\implies x \leq 5.708333...

As we cannot have part of a person, we need to round down to the nearest whole number.

Therefore, the maximum number of people who can go to the amusement park is 5.

User Miao
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