SOLUTION: A total of 200 people attend a concert. Floor tickets cost $15 and balcony tickets cost $12. If ticket sales resulted in $2,556, how many floor tickets were sold?

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Question 425901: A total of 200 people attend a concert. Floor tickets cost $15 and balcony tickets cost $12. If ticket sales resulted in $2,556, how many floor tickets were sold?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Number of floor tickets x
Number of balcony ticket y

x+y=200 .............1
15x+12y=2556 .............2

multiply (1)by -12
Multiply (2) by 1
-12x-12y=-2400
15x+12y=2556

Add the two equations

3x=156

/3

x=52 ===> 52.00 floor tickets

plug value of x in (1)

x+y=200
52+y=200
y=200-52
y=148 balcony tickets