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) About Me  (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