SOLUTION: A local theatre sold 500 seats for an upcoming play. Ticket prices for adults are $54.00 and ticket prices for children are $23.00. If the theatre made $22,102.00 for the show, how

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Question 567237: A local theatre sold 500 seats for an upcoming play. Ticket prices for adults are $54.00 and ticket prices for children are $23.00. If the theatre made $22,102.00 for the show, how many adult and children attended?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Adults x numbers
Children y numbers

x+y= 500 .............1
54x+23y =22102 .............2
Eliminate y
multiply (1)by -23
Multiply (2) by 1
-23x-23y= -11500
54x+23y =22102
Add the two equations
31x= 10602
/31
x=342
plug value of x in (1)
1 x + 1 y = 500
342 + 1 y = 500
1 y = 500-342
1 y = 158
y = 158
Adults 342 numbers
Children 158 numbers
m.ananth@hotmail.ca