Question

TIME REMAINING

52:05
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

the first one.

Explanation:

DJ and decorations are one time flat costs. they are constant. so, together, they are $300.

that is what decreases the profit.

on the other side, $5 per student = 5n in total increases our profit.

so, in total the sum of both (the decreasing amount has a negative sign, if course) :

5n - 300 = 1,500

is the right equation to calculate how many students are needed to make that much profit.

the solution, but the way :

5n - 300 = 1500

5n = 1800

n = 1800/5 = 360 students