SOLUTION: Mark's school is selling tickets to a play. On the first day of ticket sales the school sold 7 adult tickets and 11 student tickets for a total of $234. The school took in $234 on

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Mark's school is selling tickets to a play. On the first day of ticket sales the school sold 7 adult tickets and 11 student tickets for a total of $234. The school took in $234 on      Log On


   

Question 996932: Mark's school is selling tickets to a play. On the first day of ticket sales the school sold 7 adult
tickets and 11 student tickets for a total of $234. The school took in $234 on the second day by
selling 14 adult tickets and 4 student tickets. Find the price of an adult ticket and the price of a
student ticket.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x= cost of adult tickets
y= cost of student tickets
Total sold
7 x + 11 y = 234 .............1
Total value
14 x + 4 y = 234 .............2
Eliminate y
multiply (1)by -4
Multiply (2) by 11
-28 x -44 y = -936
154 x + 44 y = 2574
Add the two equations
126 x = 1638
/ 126
x = 13
plug value of x in (1)
7 x + 11 y = 234
91 + 11 y = 234
11 y = 234 -91
11 y = 143
y = 13
x= 13 cost of adult tickets
y= 13 cost of student tickets
m.ananth@hotmail.ca