SOLUTION: A theatre contains 457 seats and the tickets prices for a recent play were $55 for adults and $17 for children. For one matinee, if the total proceeds were $14,191, how many of eac

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Question 440471: A theatre contains 457 seats and the tickets prices for a recent play were $55 for adults and $17 for children. For one matinee, if the total proceeds were $14,191, how many of each type of tickets were sold?
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming a sold-out house:
x+y=457
55x+17y=14191
17x+17y=7769
38y=6422
y=169
x=288
There were 288 adults and 169 children..