29. How can you use a balance scale and a 200g weight to divide 9 kg of sugar into two bags - 2 kg and 7 kg, if you are allowed to weigh no more than three times?
29. Place a weight on one pan and distribute the available sugar across the pans so that the scales are in balance. Then, on one pan there will be 4 kg 600 g of sugar, and on the other (where the weight is) - 4 kg 400 g of sugar. The second time, distribute 4 kg 600 g of sugar across the pans. On one of them (without the weight) there will be 2 kg 400 g of sugar, and on the other - 2 kg 200 g. The last (third) time, from 2 kg 200 g of sugar, weigh out 200 g using the available weight, and 2 kg will remain. (During the second weighing, the weight can be not used, and 2 kg 400 g can be evenly distributed on the pans.)