Question

the drama club is selling tickets to their play to raise money for the shows expenses. each student ticket sells for $4 and each adult ticket sells for $6. the auditorium can hold at most 107 people. the drama club must make a minimum of $560 from ticket sales to cover the shows costs. if 71 adult tickets were sold, determine the minimum number of student tickets that the drama club must sell in order to meet the shows expenses. answer attempt 1 out of 2 additional solution no solution submit answer

Explanation:

Step1: Calculate adult ticket revenue

Revenue from 71 adult tickets: $71 \times 6 = 426$

Step2: Find required student ticket revenue

Subtract adult revenue from minimum total: $560 - 426 = 134$

Step3: Calculate minimum student tickets

Divide required revenue by student ticket price: $\frac{134}{4} = 33.5$
Since partial tickets can't be sold, round up to 34.

Step4: Verify auditorium capacity

Total people with 71 adults + 34 students: $71 + 34 = 105$, which is ≤ 107.

Answer:

34