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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22-08-2015
Mathematics

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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?

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taskmasters taskmasters · Answer 1 · 2015-08-27T17:46:28+02:00

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.