Solve each system below using either substitution or elimination. the final answer in (x, y) form.

Question

Kristin's school is selling tickets to the annual talent show. On the first day of ticket sales the

school sold 2 senior citizen tickets and 6 child tickets for a total of $60. The school took in $126

on the second day by selling 6 senior citizen tickets and 12 child tickets. What is the price each

of one senior citizen ticket and one child ticket?

Answer 1

Senior tickets (x)

Child tickets (y)

 

First day: 2x + 6y = 60

 

second day: 6x + 12y = 126

 

Solve the system of equations (use elimination)

 

Multiply first equation by -2 which makes it

 -4x - 12y = -120

 

now add 2nd equation with 1st equation we will get

2x = 6 and x = 3

 

Plugin the x value to either equation ( I will choose first equation)

 

2(3) + 6y = 60

 

6y = 60 - 6

 

6y = 54

 

y = 9

 

Senior tickets are $3, child tickets are $9

Answer 2

2s + 6c = 60

6s + 12c = 126

Multiply top equation by -2 and add to bottom equation.