Question

mustafas soccer team is planning a school dance as a fundraiser. the dj charges $200 and decorations cost $100. the team decides to charge each student $5.00 to attend the dance. if n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?
$5n - 200 + 100n = 1,500$
$5n - 100 - 200n = 1,500$
$5n - 300 = 1,500$
$5n + 300 = 1,500$

Explanation:

Step1: Calculate total cost

The DJ charges \$200 and decorations cost \$100, so total cost is \(200 + 100 = 300\).

Step2: Calculate total revenue

Each student pays \$5, and there are \(n\) students, so total revenue is \(5n\).

Step3: Relate profit, revenue, and cost

Profit = Revenue - Cost. We want profit to be \$1500, so \(5n - 300 = 1500\).

Answer:

\(5n - 300 = 1500\) (the third option in the given set of equations)