SOLUTION: a movie theater charges $8.00 for adults, $4.50 for children, and $6.00 for senior citizens. one day the theatre sold 405 tickets and collected $2320 in receipts. there were twice
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: a movie theater charges $8.00 for adults, $4.50 for children, and $6.00 for senior citizens. one day the theatre sold 405 tickets and collected $2320 in receipts. there were twice as many children's tickets sold as adult tickets. how many adults, children, and senior citizens went to the theater that day?
This question is from textbook
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a movie theater charges $8.00 for adults, $4.50 for children, and $6.00 for senior citizens. one day the theatre sold 405 tickets and collected $2320 in receipts. there were twice as many children's tickets sold as adult tickets. how many adults, children, and senior citizens went to the theater that day?
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Quantity equation:
a + c + s = 405
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Value equation:
8a + 4.5c + 6s = 2320
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Quantity equation:
c = 2a
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Rearrange the equations:
a + c + s = 405
8a + 4.5c + 6s = 2320
2a - c + 0 = 0
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Solve the system by any means you know to get:
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a = 110
c = 220
s = 75
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Cheers,
Stan H.
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