# math

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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?

• math -

children - c
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

• math -

283

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