Define on variables:
x = # of student tickets sold
y = # of adult tickets sold
Equation about total items:
[tex]x+y=22[/tex]
Equation about total price:
[tex]4x+6y = 108[/tex]
Solve the system:
[tex]x = 22-y[/tex]
[tex]4(22-y)+6y=108[/tex]
[tex]88-4y+6y=108[/tex]
[tex]88+2y=108[/tex]
[tex]2y=20[/tex]
[tex]y = 10[/tex]
Plug that into the first equation to get:
[tex]x+10=22[/tex]
[tex]x = 12[/tex]
So, your answer is: 12 student tickets were sold, and 10 adult tickets were sold.
