math

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i had cards to write, i wrote 1 third of cards on monday, 2 eighths on tuesday, 1 sixth on wednesday and wrote the remaining 27 cards on thursday. how many cards did i write?

  • math -

    number of cards --- x
    so ...
    x/3 + x/4 + x/6 + 27 = x
    times 12
    4x + 3x + 2x + 324 = 12x
    3x = 324
    x = 108

    check:
    108/3 + 108/4 + 108/6 + 27
    = 36+27+18+27
    = 108

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