The weight of the bucket with water is 10 1/2 kg. When half of all the water was poured out of the bucket

The weight of the bucket with water is 10 1/2 kg. When half of all the water was poured out of the bucket, the mass of the bucket with water became equal to 6 1/2 kg. What is the mass of an empty bucket? By what percentage is an empty bucket lighter than all the water in it?

When half of the water was poured out of the bucket, the mass of the bucket with water decreased by:

10 1/2 – 6 1/2 = 4 kg.

Thus, it turns out that the mass of half of the water is 4 kg, which means that the mass of all the water in the bucket was:

4 * 2 = 8 kg

Therefore, the mass of an empty bucket is:

10 1/2 – 8 = 2 1/2 = 2.5 kg.

Now we can determine by what percentage the mass of an empty bucket is less than the mass of water in it:

(8 – 2.5): 8 * 100 = 68.75%.

Answer: 2.5 kg, 68.75%.