Answer:
Senior citizen ticket = $4, student ticket = $6
Step-by-step explanation:
To do this, form a system of equations where x = the cost for a senior citizen ticket and y = the cost for a student ticket.
Since 12 senior citizen tickets and 14 students tickets cost $132, you get
12x + 14y = 132.
Since 12 senior citizen tickets and 10 students tickets cost $108, you get
12x + 10y = 108.
You can subtract those two equations, so
12x + 14y = 132
-(12x + 10y = 108)
and you get
4y = 24
divide both sides by 4
y = 6
substituting into the equation 12x + 10y = 108,
12x + 10(6) = 108
12x + 60 = 108
subtract 60 from both sides
12x = 48
divide both sides by 12
x = 4
A senior citizen ticket costs $4 and a student ticket costs $6.
