SOLUTION: The drama club sold 250 tickets for a play and made $1573. If faculty tickets were $7.15 each and student tickets were $5.50 each, how many of each ticket were sold ?

Question 782540: The drama club sold 250 tickets for a play and made $1573. If faculty tickets were $7.15 each and student tickets were $5.50 each, how many of each ticket were sold ?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
x= Number of Faculty tickets
y= Number of student tickets

1.00 x + 1.00 y = 250.00 .............1
Total value
7.15 x + 5.50 y = 1,573.00 .............2
Eliminate y
multiply (1)by -5.50
Multiply (2) by 1.00
-5.50 x -5.50 y = -1,375.00
7.15 x + 5.50 y = 1,573.00
Add the two equations
1.65 x = 198.00
/ 1.65
x = 120.00
plug value of x in (1)
1.00 x + 1.00 y = 250.00
120.00 + y = 250.00
y = 250.00 -120.00
y = 130.00
y = 130.00
x= 120 Number of Faculty tickets
y= 130 Number of student tickets
m.ananth@hotmail.ca

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