The drama club is selling tickets to its play. An adult ticket costs $15 and a student ticket costs $11. The auditorium will seat 300 ticket-holders. The drama club wants to collect at least $3630 from ticket sales.

83 adult tickets and 217 student tickets.

Step-by-step explanation:

Let number of adult tickets sold =

Given that total number of tickets = 300

So, number of student tickets = 300 -

Cost of adult ticket = $15

Cost of student ticket = $11

Total collection from adult tickets = $

Total collection from student tickets =  

Given that overall collection = $3630

So, for atleast $3630 collection, there should be 83 adult tickets and (300-83 = 217 student tickets.

Now , collection = $3632

18x-16=-12x-4

18x+12x=-4+16

30x=12

x=12/30

x=2/5