Question 624755
The Little Town Arts Center charges $21 for adults, $17 for senior citizens and $8 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $13,274 for 886 tickets sold. There were 47 more children that adults. How many children attended? 
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Let x = number of adult tickets
then "There were 47 more children that adults."
x+47 = number of children's tickets
and from: "886 tickets sold"
886-(x + x+47) = 886-(2x+47) = 839-2x = number of senior tickets
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Our equation comes from: "the paid revenue was $13,274"
21x + 17(839-2x) + 8(x+47) = 13274
21x + 14263-34x + 8x+376 = 13274
-5x + 14639 = 13274
-5x = -1365
x = 273 (number of adult tickets)
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number of children's tickets:
x+47 = 273+47 = 320
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number of senior tickets:
839-2x = 839-2(273) = 839-546 = 293