Question

The drama club is selling tickets to their play to raise money for the show's expenses.

Each student ticket sells for $6 and each adult ticket sells for $8. The auditorium can
hold no more than 131 people. The drama club must make at least $930 from ticket
sales to cover the show's costs. If 54 student tickets were sold, determine the minimum.
number of adult tickets that the drama club must sell in order to meet the show's
expenses.

Answer 1

To cover the show's expenses, the drama club must sell at least 76 adult tickets after having sold 54 student tickets.

Step-by-step explanation:

The drama club has already made a certain amount from selling 54 student tickets at $6 each, contributing $324 to their goal.

Given that adult tickets sell for $8 each, we can calculate the minimum number of adult tickets that need to be sold to reach at least $930 in total sales to cover the show's expenses.

We subtract the revenue from student tickets ($324) from the total needed ($930), resulting in $606.

Then, we divide $606 by the price of an adult ticket ($8) to find the minimum number of adult tickets required: $606 / $8 = 75.75.

Since you cannot sell a fraction of a ticket, the drama club must sell a minimum of 76 adult tickets.