SOLUTION: A theatre contains 408 seats and the ticket prices for a recent play were ​$49 for adults and ​$19 for children. If the total proceeds were ​$12 comma 492 for a&#

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Question 1125925: A theatre contains 408 seats and the ticket prices for a recent play were ​$49 for adults and ​$19 for children. If the total proceeds were ​$12 comma 492 for a​ sold-out matinee, how many of each type of ticket were​ sold?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of adult tickets
Let +b+ = number of children's tickets
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(1) +a+%2B+b+=+408+
(2) +49a+%2B+19b+=+12492+
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solve for a and b