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A theatre contains 460 seats and the ticket prices for a recent play were $50 for adults and $28 for children. If the total proceeds were $16,972 for a sold-out matinee, how many of each type of ticket
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A theatre contains 460 seats and the ticket prices for a recent play were $50 for adults and $28 for children. If the total proceeds were $16,972 for a sold-out matinee,

how many of each type of ticket were sold?
The number of adult tickets was

User Joshdcomp
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1 Answer

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(C + A = 460)28
28C + 50A = 16,972
28C + 28A = 12,880
Subtract
22A = 4092
A = 186
460 - 186 = 274
There was 186 adult tickets and 274 children tickets
User Romandas
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