Word problem involving inequalities?

Question

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.

Write a system of four inequalities that describe how many of each type of ticket the club must sell to make its goal.

Answer 1

A = adult ticket
S = student ticket
A >= 0
S >= 0
15A+11S >= 3630
A +S =< 300

Answer 2

x = number of Adult tickets
y = number of student tickets

x + y must be less than or equal to 300
15x + 11Y must be greater than 3630

x > 82