SOLUTION: The Family Arts Center charges $22 for adults, $17 for senior citizens, and $6 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid rev

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Question 618394: The Family Arts Center charges $22 for adults, $17 for senior citizens, and $6 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $13086 for 899 tickets sold. There were 47 more children than adults. How many children attended?
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
$22 for adults, $17 for senior citizens, and $6 for children under 12,
47 more children than adults AND 899 tickets sold
Let x, (x+47) and [899-x-(x+47)] represent # of adult, children, senior tickets respectively
Question states***revenue was $13086
$22x + $6(x+47) + $17(852 -2x) = $13086
-6x = 13086 - 282 - 14484
-6x = -1680
x = 280, number of adult tickets sold
Children 280+47 = 327 children
CHECKING our Answer***( 292 Seniors, (852-560)
22*280 + 6*327 + 17*292 = 13086
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