Question

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.​

Answer 1

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

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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