SOLUTION: The School that Paul goes to is selling tickets to a fall musical. On the first day of ticket sales the school sold 12 adult and 2 child tickets for a total of $164. The school too

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The School that Paul goes to is selling tickets to a fall musical. On the first day of ticket sales the school sold 12 adult and 2 child tickets for a total of $164. The school too      Log On


   

Question 1023082: The School that Paul goes to is selling tickets to a fall musical. On the first day of ticket sales the school sold 12 adult and 2 child tickets for a total of $164. The school took in $134 on the second day by selling 6 adult and 14 children tickets. Find the price of an adult ticket and the price of a child ticket?
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!






Solve the 2X2 system for , the number of adult tickets, and , the number of child tickets.

John

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

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the price of an adult ticket
Let +b+ = the price of a child's ticket
----------------------------------
(1) +12a+%2B+2b+=+164+
(2) +6a+%2B+14b+=+134+
-----------------------
(1) +6a+%2B+b+=+82+
Subtract (1) from (2)
(2) +6a+%2B+14b+=+134+
(1) +-6a+-+b+=+-82+
--------------------
+13b+=++52+
+b+=+4+
and
(1) +6a+%2B+b+=+82+
(1) +6a+%2B+4+=+82+
(1) +6a+=+78+
(1) +a+=+13+
An adult ticket costs $13
A child's ticket costs $4