Question

a group of friends wants to go to the amusement park. they have $311.50 to spend on parking and admission. parking is $16.75, and tickets cost $32.75 per person, including tax. write and solve an equation which can be used to determine p, the number of people who can go to the amusement park.

Explanation:

Step1: Set up the equation

The total amount of money they have is spent on parking and tickets. The parking cost is a fixed $16.75 and the ticket cost per person is $32.75. If the number of people is $p$, the equation is $16.75 + 32.75p=311.50$.

Step2: Isolate the term with $p$

Subtract 16.75 from both sides of the equation:
$32.75p=311.50 - 16.75$
$32.75p = 294.75$

Step3: Solve for $p$

Divide both sides of the equation by 32.75:
$p=\frac{294.75}{32.75}$
$p = 9$

Answer:

$p = 9$