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. If there are no possible solutions, submit an empty answer

Answer 1

76 adult tickets would be the best answer.

Explanation:

Call a is the number of adults tickets that the drama club must sell.

We have: 54+a<=131 => a<=77 (less or equal 77) (1)

Also we have: 54x6+ax8>=930 => a>=75.75 (more or equal 930) (2)

From (1) and (2), we choose 76 as the minimum.