High School

Julia's school is selling tickets to the annual dance competition. On the first day of ticket sales, the school sold 5 senior citizen tickets and 9 student tickets for a total of $149. On the second day, the school took in $103 by selling 7 senior citizen tickets and 3 student tickets.

Find the price of a senior citizen ticket.

The price of a senior citizen ticket is [x] dollars.

Answer :

Senior tickets (x)

Child tickets (y)

First day: 3x + 5y = 70

second day: 12x + 12y = 216

Solve the system of equations (use elimination)

Multiply first equation by -4 -4(3x + 5y = 70), which makes it

-12x - 20y = -280

(+)12x + 12y = 216 add to second equation

-8y = -64

divide by -8. y = 8

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

3x + 5(8) =70

3x+ 40 = 70

3x = 30

x = 10

Senior tickets are $10, child tickets are $8

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