SOLUTION: please help me solve this word problem. Adult tickets for a play cost $20 and child tickets cost $16. If there were 27 people at a performance and the theater collected $464 fr

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Question 47632: please help me solve this word problem.
Adult tickets for a play cost $20 and child tickets cost $16. If there were 27 people at a performance and the theater collected $464 from ticket sales, how many adults and how many children attended the play?

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
adult tickets: a
child tickets: c
a+%2B+c+=+27
20a+%2B+16c+=+464
Combine:
-20a+-+20c+=+-540
+
20a+%2B+16c+=+464
=
-4c+=+-76
c+=+19
Plug:
a+%2B+c+=+27
a+%2B+19+=+27
a+=+8
While eight adult tickets were sold, nineteen childeren's tickers were sold as well.