A full of water bucket is 32 kg. When the water is half, the bucket weight is 20 kg. What was the only bucket weight?

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Answer 1 · 2018-03-30T19:18:30

The weight of bucket #=8# kg.

Let the weight of bucket #=x# kg.

and the weight of water in full bucket #=w# kg.

So the weight of water in half bucket #=w/2# kg.

The full of water bucket weight #=32# kg.

i.e. #color(red)(x+w=32..........to(1)#

When the water is half the bucket weight #=20# kg.

i.e. #x+w/2=20#

#=>color(red)(2x+w=40.........to(2)#

Solving #(2) and (1),# we get ........#color(red)({(2)-(1)}#

#2x+w=40#

#ul(-x-w=-32)#

#=>x=8#

The weight of bucket #=8# kg.