A total of 150 tickets wefe sold for the annual concert to students and nonstidents. Student tickets were $5 and non student tickets were $8 .

Question

(Question continued) if the total revenue for the concert was $930 then how many tickets of each type were sold?

Answer 1

We need to designate a variable for the number of student tickets and the number of nonstudent tickets sold;

Let S = #student tickets

Let N = #nonstudent tickets

 

We know that a total of 150 tickets were sold so:

S + N = 150

 

We also know that the total revenue was $930 so:

5S + 8N = 930   because each student ticket was $5 and each nonstudent ticket cost $8

 

Equation 1:   S+N = 150

Equation 2:  5S + 8N = 930

 

We can solve for one variable in terms of the other in equation 1.  Solving for S we have S=150-N

 

Replace S with 150-N in equation 2 and solve for N

 

5(150-N) + 8N = 930

750 - 5N + 8N = 930

750+3N = 930

3N = 930-750

3N = 180

N = 60

 

There wee 60 nonstudent tickets sold

 

S = 150-N = 150-60 = 90

 

There were 90 student tickets sold