SOLUTION: There were 600 people at a play. The admission price was $3.00 for adults and $1.00 for children. The admission receipts were $1100. How many adults and children attended?

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Question 42768: There were 600 people at a play. The admission price was $3.00 for adults and $1.00 for children. The admission receipts were $1100. How many adults and children attended?
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
c = number of children
a = number of adults
EQUATIONS:
c+%2B+a+=+600
c+%2B+3a+=+1100
Combine:
c+%2B+a+=+600
+
-c+-+3a+=+-1100
=
-2a+=+-500
a+=+250
PLUG:
c+%2B+a+=+600
c+%2B+250+=+600
c+=+350