Please show work

The little town arts center charges $21 for adults, $17 for senior citizens and $8 for children under 12 for their lfe performance on sunday. On sunday the revenue paid wa $13,274 for 886 tickets sold. There were 47 more children than adults. How many children attended?

2 answers

children - c
adults - a
seniors - s

8c + 17s + 21a = 13274

c = a+47

a+c+s = 886
s = 886-a-c
= 886 - a - (a+47)
= 839 - 2a

sub back

8(a+47) + 17(839-2a) + 21a = 13274

solve for a, from there you can find c
283
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