SOLUTION: please explain...adult tickets for a play cost $20 and child ticket cost $1...if there were 26 people at a performance and the theater collected $349 from ticket sales, how many ch

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Question 70072: please explain...adult tickets for a play cost $20 and child ticket cost $1...if there were 26 people at a performance and the theater collected $349 from ticket sales, how many children attended the play?
x=adult ticket for the play
y=child ticket for the play
20x + 1y = 26
is this the correct way to set up equation because I am getting rather confused.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
adult tickets for a play cost $20 and child ticket cost $1...if there were 26 people at a performance and the theater collected $349 from ticket sales, how many children attended the play?
x=the number ofadult tickets sold; Value is 20x dollars
y=the number of child tickets sold; value is 1y dollars
-------------
EQUATIONS:
x+y=26
20x+y=349
---------
y=-x+26
Substitute into the 2nd equation to get:
20x-x+26=349
19x=323
x=17 (number of adult tickets sold)
y=-17+26=9 (number of child tickets sold)
Cheers,
Stan H.

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