[ Weighing $]$

Gold prospector Jack mined 9 kg of gold sand. Can he measure out 2 kg of sand in three weighings using balance scales: a) with two weights - 200 g and 50 g; b) with one weight of 200 g?

#
Sure. First case (weights 200 g and 50 g). 1st weighing: 4.5 kg = 4.5 kg. 2nd: 2.25 kg = 2.25 kg. 3rd: 2.25 kg = 2 kg + 200 g + 50 g. Second case (weight 200 g). 1st weighing: 4.6 kg = 4.4 kg + 200 g. 2nd: 4.4 kg = 2.2 kg + 2.2 kg. 3rd: 2.2 kg = 2 kg + 200 g.

## Answer

Will be able to in both cases.