SOLUTION: Adult tickets for a play cost $17 and child tickets cost $10. If there were 33 people at a performance and the theater collected $421 from thicket sales, how many children attended

Algebra ->  Linear-equations -> SOLUTION: Adult tickets for a play cost $17 and child tickets cost $10. If there were 33 people at a performance and the theater collected $421 from thicket sales, how many children attended      Log On


   



Question 88423: Adult tickets for a play cost $17 and child tickets cost $10. If there were 33 people at a performance and the theater collected $421 from thicket sales, how many children attended the play?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Adult tickets for a play cost $17 and child tickets cost $10. If there were 33 people at a performance and the theater collected $421 from thicket sales, how many children attended the play?
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Let # of adult tickets sold be "x"; value of these is 17x dollars
# of child tickets sold is "33-x"; value of these is 10(33-x)= 330-10x dollars
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EQUATION:
value + value = 421 dollars
17x + 330-10x = 421
7x = 91
x = 13 (# of adult tickets sold)
33-x = 20 (# of child tickets sold)
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Cheers,
Stan H.