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12 October, 14:19

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?

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  1. 12 October, 14:34
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    Let the weight of the heaviet package = X

    Weight of the smallest package = X/2 + (1/3*X/2)

    = X/2+X/6

    = 2X/3

    Then

    X+2X/3 = 100

    (3X+2X) / 3 = 100

    5X/3 = 100

    X = 300/5

    = 60

    Then the weight of the smallest package = 2X/3

    = 2*60/3

    = 40

    So the weight of the smallest package is 40 Kg.
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