SOLUTION: Kara purchased train tickets for 3 adults and 4 children. The total cost for 3 adults and 4 children was $136. Brian purchased 2 adult tickets and 3 children tickets for $97. F

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Question 459885: Kara purchased train tickets for 3 adults and 4 children. The total cost for 3 adults and 4 children
was $136. Brian purchased 2 adult tickets and 3 children tickets for $97. Find the price of an
adult’s ticket.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
adult ticket $ x
child ticket$ y

3x+4y=136 .............1 Kara
2x+3y=97 .............2 Brian

multiply (1)by -3
Multiply (2) by 4
-9x-12y=-408
8x+12y= 388
Add the two equations
-x=-20
/-1
x=20
plug value of x in (1)
3x+4y=136
60+4y=136
4y=136-60
4y=76
y=19