Question

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4.50 and each adult ticket sells for $9. There was a total of $540 in revenue from all ticket sales and the drama club sold 30 more student tickets than adult tickets. Graphically solve a system of equations in order to determine the number of student tickets sold, x, and the number of adult tickets sold, yy

Answer 1

The number of student tickets and adult tickets sold are 60 and 30 respectively.

From the information given, we can create a system of equation thus ;

• students ticket = x
• Adult ticket = y

x = y + 30 ____ (1)

4.50x + 9y = 540 ___(2)

From the graph, the point of intersection of the graph is :

• x = 60 ; y = 30

Hence, the number of student tickets and adult tickets sold are 60 and 30 respectively.