Question

The drama club is selling tickets to their play to raise money for theshow's expenses. Each student ticket sells for $6 and each adult ticketsells for $11. The auditorium can hold at most 100 people. The dramaclub must make no less than $770 from ticket sales to cover the show'scosts. If x represents the number of student tickets sold and yrepresents the number of adult tickets sold, write and solve a system ofinequalities graphically and determine one possible solution.

Answer 1

Solution

x represents the number of student tickets sold and y represents the number of adult tickets sold

For this case we can set up the following inequality for the revenue:

11x + 6y >= 770 (revenue)

6y>= 770-11x

y >= (770-11x)/6

x + y <=100 (number of people)

y <= 100-x

And if we graph this we got:

And one possible feasible solution would be x= 34 and y=66