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) (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
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