Administrators at a university will charge students $150 to attend a seminar. It costs $3000 to reserve a room, hire an instructor, and bring in the equipment. Assume it costs $25 per student for the administrators to provide the course materials. How many students would have to register for the seminar for the university to break even?
A) 18
B) 20
C) 24
D) 30

Question

Quizplus · Accepted Answer

To break even, the total revenue from ticket sales must equal the total cost of hosting the seminar.
Let x be the number of students who register.
Total revenue = $150x
Total cost = $3000 + $25x
To break even,
$150x = $3000 + $25x
$125x = $3000
x = 24
Therefore, the university would need 24 students to register to break even.

Administrators at a University Will Charge Students $150 to Attend