Math

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Adult tickets for a play cost $18 and child tickets cost $12. If there were 20 people at a performance and the theatre collected $246 from ticket sales, how many adults and how many children attended the play?

  • Math -

    c + a = 20 so c = 20-a

    12 c + 18 a = 246

    12(20-a) + 18 a = 246

    240 -12 a + 18 a = 246 etc

  • Math -

    x = adults
    20 - x = children

    18(x) + 12(20-x) = 246

    12x + 240 - 12x = 246

    Simplify: 6x = 6

    So x = 1 adult

    20 - 1 = 19 children :)

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