Question

A group of friends wants to go to the amusement park. They have no more than $165

to spend on parking and admission. Parking is $5.25, and tickets cost $17.75 per
person, including tax. Write and solve an inequality which can be used to determine
X, the number of people who can go to the amusement park.
Inequality:

Answer 1

17.75x + 5.25
`\leq` 165

x
`\leq` 9

Explanation:

The total cost can be represented by 17.75x + 5.25, where x is the number of people.

They can only spend a maximum of $165, so a less than or equal sign has to be used.

The inequality will be 17.75x + 5.25
`\leq` 165

Now, solve for x:

17.75x + 5.25
`\leq` 165

17.75x
`\leq` 159.75

x
`\leq` 9

So, x
`\leq` 9 is the answer, meaning 9 people or less can go to the amusement park.