SOLUTION: 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?

Question 597041: 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?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
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?
**
let x=weight of smallest pkg
let y=weight of larger pkg
x+y=100
y=100-x
..
x=y/2+1/3*y/2
x=y/2+y/6
x=4y/6
x=4(100-x)/6
6x=400-4x
10x=400
x=40 kg(weight of smallest pkg)

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