SOLUTION: Joe is selling tickets to the annual pancake breakfast. On the first day of tickets sales the school sold 3 senior citizen tickets and 5 child tickets for a total of $70. The schoo

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Question 393288: Joe is selling tickets to the annual pancake breakfast. On the first day of tickets sales the school sold 3 senior citizen tickets and 5 child tickets for a total of $70. The school took in $216 on the second day by selling 12 senior citizen tickets and 12 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
3s+5c=70
12s+12c=216
That is as far as I got. I'm not sure where to go from there. Thank you in advance for your time and help.
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

In the first place, your system of equations is exactly correct presuming tha that the variable represents the price of a senior citizen ticket and represents the price of a child ticket.

You put this in the "Matrices/Determinant/Cramer's Rule" section, so I presume you want one of those methods. Here's Cramer's Rule using determinants:

Find the determinant of the coefficient matrix:

Then substitute the constants into the first column and again calculate Determinant:

And substitute the constants into the second column and compute again.

Finally, compute:

John

My calculator said it, I believe it, that settles it