math pls help me

Question

The school that Jaidee goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 10 senior citizen tickets and 11 student tickets for a total of $190. The school took in $160 on the second day by selling 5 senior citizen tickets and 12 students tickets. Find the price of a senior citizen ticket and the price of a student ticket

Answer 1

Hello Bob,

I am going to use the elimination method for this problem by making 'C' the same amount, but different in sign.

Let C = the price of the senior citizen ticket and

let S = price of the student ticket.

Then for the first day we get

10C + 11S = 190 {Equation 1}.

For the second day we get

5C + 12S = 160

→ -10C - 24S = -320, by multiplying through by -2 {Equation 2}.

By adding {Equation 1} and {Equation 2}, we get

-13S = -130

→ S = 10

→ 10C + 11(10) = 190, using {Equations 1},

→ 10C = 80

→ C = 8

So the student ticket is $10 and

the senior citizen ticket is $8.

Thank you for posting the question with Wyzant!

Michael E.