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8 kg is the weight of the bucket plus a full bucket of water. 4.8 kg is the weight of the bucket plus half a bucket of water.

  1. 8 = b + w
  2. 4.8 = b + w/2

Subtract #2 from #1 to get

3.2 = w/2

so

6.4 = w

substitute that into #1 to get 1.6 kg for the bucket.

The question is what is the weight with w/4

1.6 kg for the bucket and (4.8)/4 for the water

1.6 + 1.2 = 2.8 kg ■

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Q: If a bucket weighs 8 kilograms when full of water and it weighs 4.8 kilograms when half full of water what does it weigh when it is a quarter full of water?
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