SOLUTION: Tickets to a local movie theater were sold at $6.00 for adults and $4.50 for students. If 430 tickets were sold for a total of 2175.00 how many student tickets were sold?

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Question 908775: Tickets to a local movie theater were sold at $6.00 for adults and $4.50 for students. If 430 tickets were sold for a total of 2175.00 how many student tickets were sold?
Found 2 solutions by richwmiller, Alan3354:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
n+q=430,
6*n+4.5*q=2175
n=430-q
6*(430-q)+4.5*q=2175
2580-6q+4.5*q=2175
-1.5*q=-405
q=270.0
n=430-q
n=160 tickets at $6.00 and q=270 tickets at $4.50
check
160+270=430
6*n+4.5*q=2175
6*160+4.5*270=2175
960+1215.0=2175
2175.0=2175
ok

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
This problem has been solved at least 100's of times.
Look it up in Solved Problems.