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01-11-2017
Mathematics

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A theatre contains 441 seats and the ticket prices for a recent play were $60 for adults and $16 for children. If the total proceeds were $14,800 for a sold-out matinee, how many of each type of ticket were sold?

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MathisLif3 MathisLif3

01-11-2017

14,800=60x+16y
x+y=441
that implies y=441-x so
14,800=60x+16(441-x)
14,800=60x+16*441-16x
14,800-16*441=44x
7744=44x
x=176 kids and 441-176 adults

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