The school that Kathryn goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 12 senior citizen tickets and 14 student tickets for a total
of $132. The school took in $108 on the second day by selling 12 senior citizen tickets
and 10 student tickets. What is the price each of one senior citizen ticket and one
student ticket?

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.

answer: a

step-by-step explanation:

10.2 units

b

step-by-step explanation: