Exact Science - Problem of The Day - 25

25

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?

Answer

Yes. Possible

SOLUTIOn

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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