Math

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1/5 of bees flew to Kadamba, 1/3 flew to Silandhara, 3 times the difference of these 2 numbers flew to arbor and 1 bee is still flying. Find the number of bees.

  • Math -

    X = The total # of bees.

    x/5 +x/3 + 3(x/3-x/5) + 1 = X,
    LCM = 15:
    3x/15 + 5x/15 + 3(5x/15-3x/15) + 1 = X,
    3x/15 + 5x/15 + 15x/15-9x/15 + 1 = X,
    14x/15 = X-1,
    Multiply both sides by 15:
    14x = 15X - 15,
    14x - 15x = -15,
    -x = -15,
    x = 15 Bees.

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