Question 736017: a theatre contains 409 seats and the ticcket prices for a recent play were $53 for adults and $21 for children. if the total proceeds were $13,485 for a sold out matinee, how many of each type of ticket were sold?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a theatre contains 409 seats and the ticcket prices for a recent play were $53 for adults and $21 for children. if the total proceeds were $13,485 for a sold out matinee, how many of each type of ticket were sold?
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Ticket Equation: a + c = 409
Value Equation:53a +21c = 13,485
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Modify for elimination:
53a + 53c = 53*409
53a + 21c = 13,485
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Subtract and solve for "c":
32c = 8192
# of children's tickets = 256
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Solve for "a":
a + c = 409
# of adult tickets sold = 409-256 = 153
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Cheers,
Stan H.
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