SOLUTION: A theatre contains 459 seats and tickets prices for a recent play were $41 for adults, $17 for children. If the total proceeds were $12,435 for a sold-out show, how many of each ty

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Question 905233: A theatre contains 459 seats and tickets prices for a recent play were $41 for adults, $17 for children. If the total proceeds were $12,435 for a sold-out show, how many of each type of ticket were sold?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+c=459,
41*a+17*c=12435
a=459-c
41*(459-c)+17*c=12435
18819-41c+17*c=12435
-24*c=-6384
c=266
a=459-c
a=193 at 41 and c=266 at 17
check
193+266=459
41*a+17*c=12435
41*193+17*266=12435
7913+4522=12435
12435=12435
ok