Question

If the weight of a bucket full of water is 24 kg and weight of the bucket 1/4th full of water is 9 kg, then find the weight of the empty bucket.

Answer:

The weight of the empty bucket is 4 kg.

Let the weight of the empty bucket be x kg and weight of volume of water equal to volume of bucket be y kg and so weight of volume of water equal to one-fourth will be (y/4) kg.
Therefore, weight of bucket full of water = (x+y) kg = 24 kg ...(1)
And weight of the bucket 1/4th full of water = (x+y/4) kg = 9 kg which implies that 4x+y = 36 ...(2)
Subtracting (1) from (2):
(4x+y)-(x+y) = 36-24
⇒ 4x+y-x-y = 12
⇒ 3x = 12
⇒ x = 4
Therefore, we get the weight of the empty bucket equal to 4 kg.


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