SOLUTION: 2)Sumalee's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 6 adult tickets and 1 student ticket for a total of $23. The school too

Algebra ->  Rational-functions -> SOLUTION: 2)Sumalee's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 6 adult tickets and 1 student ticket for a total of $23. The school too      Log On


   

Question 1091817: 2)Sumalee's school is selling tickets to a spring musical. On the first day of ticket sales the school sold
6 adult tickets and 1 student ticket for a total of $23. The school took in $106 on the second day by
selling 12 adult tickets and 14 student tickets. Find the price of an adult ticket and the price of a
student ticket.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
6A+1S=23, where A is an adult ticket and S is a student ticket
12A+14S=106
from equation 1, S=23-6A
substitute into equation 2.
12A+14(23-6A)=106
12A+312-84A=106
-72A=-216
A=$3
use that in first equation and get 18+S=23, so S=$5.
check in second equation and 36+70=106
Adult ticket is $3 and student ticket is $5.