SOLUTION: The carnival sells tickets at $15.00 for adults and $10.00 or children. *If every adult came with two children and a total of 468 tickets were sold, how many of them were childr

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Question 625900: The carnival sells tickets at $15.00 for adults and $10.00 or children.
*If every adult came with two children and a total of 468 tickets were sold, how many of them were children's tickets?
*How many of them were adults' tickets?
*How much money did the carnival make in ticket sales?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of adult tickets
Let +c+ = number of children's tickets
given:
(1) +a+%2B+c+=+468+
(2) +c+=+2a+
---------
(2) +a+=+c%2F2+
Substitute this into (1)
(1) +c%2F2+%2B+c+=+468+
(1) +c%2A%28+1+%2B+1%2F2%29+=+468+
(1) +c+=+468%2F1.5+
(1) +c+=+312+
There were 312 children's tickets sold
+468+-+312+=+156+
There were 156 adult tickets sold
---------------------------
Money made = +15a+%2B+10c+
+15%2A156+%2B+10%2A312+=+2340+%2B+3120+
+2340+%2B+3120+=+5460+
Money made = $5,460