Question

Mustafa’s 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 – 300 = 1,500 5n + 300 = 1,500 5n – 200 + 100n = 1,500 5n – 100 – 200n = 1,500

Answer 1

Answer:

  (a)  5n -300 = 1500

Step-by-step explanation:

Profit is the difference between revenue and cost.

Revenue

The revenue the fundraiser will generate apparently comes only from ticket sales. At $5 each, the sale of n tickets will result in revenue of 5n dollars.

Cost

The cost the team must pay will be the sum of the cost of the DJ and the cost of the decorations. The team's total cost will be ...

  200 +100 = 300

Profit

The profit is the difference between revenue and cost. The team wants that difference to be $1500, so an appropriate equation for the number of tickets to sell is ...

  revenue - cost = profit

  5n -300 = 1500