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?

Question

6616 views around the world

You can reuse this answer
Creative Commons License

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.