Question

please explain and give ans


A bucket completely filled with water, weighs 10•5. when it is 1/2 full,it weighs 5•375 kg. what
is the mass of the bucket when
it is empty?
a. 0•25kg
b. 0•5 kg
c. 2•5 kg
d. 2•56 kg​

Answer 1

Let's say when bucket is half full, its weight is (x + w) kg

where x is weight of bucket and w is the weight of water.

when bucket is completely filled, it has two times the water.

so, new weight will be (x + 2w) kg.

putting in the values of both equations we get -

x + w = 5.375

x + 2w = 10.5

Now subtract first equation from second one we get -

w = 10.5 - 5.375 = 5.125

put this value in first equation,

x + 5.125 = 5.375

=> x = 5.375 - 5.125 = 0.25

Hence the bucket weighs 0.25 kgs