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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
    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

  • math -

    283

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