SOLUTION: Tickets for a movie were advertised at $9 for general admission and $6 for senior citizens. The receipts for one showing were $1620 for an audience of 200 people. How many general

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Question 1039564: Tickets for a movie were advertised at $9 for general admission and $6 for senior citizens. The receipts for one showing were $1620 for an audience of 200 people. How many general admission tickets and how many senior citizen tickets were sold?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the number of general admission
tickets sold
+200+-+x+ = the number of senior tickets sold
------------------------
+9x+%2B+6%2A%28+200+-+x+%29+=+1620+
+9x+%2B+1200+-+6x++=+1620+
+3x+=+420+
+x+=+140+
and
+200+-+x+=+200+-+140+
+200+-+x+=+60+
60 senior citizen tickets were sold
------------------
check:
+9x+%2B+6%2A%28+200+-+x+%29+=+1620+
+9%2A140+%2B+6%2A%28+200+-+140+%29+=+1620+
+1260+%2B+360+=+1620+
+1620++=+1620+
OK