Question

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8. The auditorium can hold no more than 100 people. The drama club must make at least $560 from ticket sales to cover the show's costs. If

x
x represents the number of student tickets sold and
y
y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

Answer 1

4s+8.5a>=460

s+a<=79

s=53

4*53+8.5a>=460

212+8.5a>=460

8.5a>=248

a>=29.1765 --> 30

30+53 is 83, which is greater than 79, so this is not possible.

If 53 tickets were sold to students, it is not possible to meet the minimum amount of money the drama club needs to make. They need to either sell less tickets to the students, or have a larger venue.