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First measure out clay equal to the 1 gram weight. Take that 1 gram of clay and put it on the side with the weight. Measure out 2 grams of clay now. Take the 1 gram of clay and the 2 grams of clay and you have the 3 gram weight.
Using the one and 3 gram weight on one side, measure out 4 grams of clay twice, then using the 1 gram weight get 1 more gram of clay. Put the two 4 gram weights together along with the 1 gram of clay and you have your 9 gram weight.
Next take all the wieghts you have (1,3,9=13 grams)and put them on one side of the scale. Now measure out an equivalent amount of clay twice, then measure out 1 gram of clay. Take all this clay and now you have your 27 gram weight.
All the leftover clay is now your 81 gram weight. Thus resulting in 8 weighings. |
