SOLUTION: A local theatre sold 500 seats for an upcoming play. Ticket prices for adults are $62.00 and ticket prices for children are $32.00. If the theatre made $26,140.00 for the show, ho
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Question 994744: A local theatre sold 500 seats for an upcoming play. Ticket prices for adults are $62.00 and ticket prices for children are $32.00. If the theatre made $26,140.00 for the show, how many adult and children attended?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A local theatre sold 500 seats for an upcoming play. Ticket prices for adults are $62.00 and ticket prices for children are $32.00. If the theatre made $26,140.00 for the show, how many adult and children attended?
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Quantity:: a + c = 500 tickets
Value:: 62a + 32c = 26140
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Modify for elimination::
31a + 31c = 31*500
31a + 16c = 13070
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Subtract and solve for "c":
15c = 2430
c = 162 (# of child tickets sold)
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a = 500-162 = 338 (# of adult tickets sold)
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Cheers,
Stan H.
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