Question #20955

To measures and take 31 kg of rice from a 100 kg rice bag in minimum number of weighing using a pan blance which pair will you choose?

Expert's answer

Since we are free to choose drop weight, but are limited in measurements (two), then it is rational to use 24 kg drop weight and do the following measurements:

1. Add a 24 kg drop weight to one basin, tip rice into basins and bring them to balance by means of our device (62 kg and 38+24 kg)

2. Split the 62 kg pile into two equal parts (31 kg and 31 kg)

1. Add a 24 kg drop weight to one basin, tip rice into basins and bring them to balance by means of our device (62 kg and 38+24 kg)

2. Split the 62 kg pile into two equal parts (31 kg and 31 kg)

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