The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5 and each adult ticket sells for $10. The auditorium can hold a maximum of 110 people. The drama club must make a minimum of $700 from ticket sales to cover the show's costs. If x represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

Since the drama club is selling tickets to their play to raise money for the show's expenses, and each student ticket sells for $ 5 and each adult ticket sells for $ 10, and the auditorium can hold a maximum of 110 people and the drama club must make a minimum of $ 700 from ticket sales to cover the show's costs, to determine one possible solution the following calculation must be performed:

110 x 5 + 0 x 10 = 550
(700 - 550) / (10 - 5) = 150/5 = 30
80 x 5 + 30 x 10 = 400 + 300 = 700

Therefore, 80 student tickets and 30 adult tickets must be sold to reach a $700 raise.

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