mathematics - What's the fewest weights you need to balance any weight from 0,5 to 40 pounds, on a modified balance scale - Puzzling Stack Exchange

One arm of a weighing scale is twice as long as the other. Suppose you want to create a set of weights so that any object weight from 0.5 and its multiples up to 40 pounds can be exactly balanced

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A balance scale can measure integer weights from 1 to 40 ounces

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