With a bag of granulated sugar, a cup scale, and a 1 g weight, is it possible to measure 1 kg of sugar in 10 weighings?
Yes. Possible
1) Weigh 1 gram of sugar using a weight.
2) Weigh 2 grams using a weight and the previous 1 gram of sugar.
3) Weigh 4 grams (3 g + weight).
4) Weigh 8 grams (7 g + weight).
5) Weigh 16 grams (15 g + weight).
6) Weigh out 31 grams of sugar (31 g).
7) Weigh 63 grams of sugar (62 g + weight).
8) Weigh 125 grams of sugar (125 g).
9) Weigh 250 grams of sugar (250 g).
10) Weigh 500 grams of sugar (500 g = 1 kg).
As a result, we get 1 kg of sugar, 500 g in each bowl.
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