Question

HELP 100 POINTS

A group of friends wants to go to the amusement park. They have $247.50 to spend on parking and admission. Parking is $12, and tickets cost $39.25 per person, including tax. Writer and solve an equation which can be used to determine p, the number of people who can go to the amusement park.

Equation:
Answer: p =

Answer 1

p = 6

Explanation:

Define the variable

Let p be the number of people who go to the amusement park.

Given information:

• Maximum amount available to spend = $247.50
• Cost of parking = $12
• Cost of ticket (per person) = $39.25

Therefore, the equation that represents the given information and the defined variable is:

`39.25p + 12 \leq 247.50`

(We have used the inequality sign since the question states the maximum amount of money the group of friends have to spend).

To solve, subtract 12 from both sides:

`\implies 39.25p + 12 - 12 \leq 247.50 - 12`

`\implies 39.25p \leq 235.50`

Divide both sides by 39.25:

`\implies (39.25p)/(39.25) \leq (235.50)/(39.25)`

`\implies p\leq 6`

Therefore, the maximum number of people that can go to the amusement park is 6.