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The smallest package weighed only 1/3 more than 1/2 the weight of the heaviest package. If the two packages combined weighed 100 kilograms, how much did the smaller package weigh?

  • math -

    heavy package = x
    small = (4/3)(x/2) = 2x/3

    2x/3 + x = 100
    times 3
    2x + 3x = 300
    5x = 300
    x = 60

    heavy one --- 60 kg
    small one -- - 40

    Check:
    half the weight of the heavy one is 30 kg
    a third of that is 10 kg
    a third more than 1/2 the heavey = 10 + 30 = 40
    -- all looks good

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