SOLUTION: hilton university drama club sold 311 tickets for a play.students tickets cost 50 cents each;nonstudent tickets cost $1.50.if total receipt were $385.50,find how many tickets of ea

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Question 434976: hilton university drama club sold 311 tickets for a play.students tickets cost 50 cents each;nonstudent tickets cost $1.50.if total receipt were $385.50,find how many tickets of each type were sold .
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
students tickets x Numbers
non student tickets ------------ y Numbers
x + y = 311 .............1
0.5 x + 1.5 y = 385.5 .............2
Eliminate y
multiply (1)by -1.5
Multiply (2) by 1
-1.5 x-1.5 y = -466.5
0.5 x1.5 y = 385.5
Add the two equations
-1 x = -81
/ -1
x=81students tickets
plug value of x in (1)
1 x + 1 y = 311
81 + 1 y = 311
1 y = 311 -81
1 y = 230
y=230 = 230.00 non student tickets