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How many weights are required to balance any number of ounces up through 2000 on a balance scale?

A merchant has a precision balance scale, set to weigh exact ounces only, to use in case of an apocalyptic electrical failure. What is the maximum number of weights needed to be able to weigh any number of ounces from one through 2000 ounces? What specific weights are they?

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Tusitala Tom profile image89

Tom Ware (Tusitala Tom) says

4 years ago
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TR Smith (calculus-geometry) says

4 years ago
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  • tussin profile image

    I'M BANNED Y'ALL!!!!!!!!!! (tussin) 4 years ago

    That's more efficient than using 11 powers-of-2 weights: 1, 2, 4, ..., 1024, which was how I first thought to do it. Since you can balance on both sides, there's more freedom.

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JThomp42 says

4 years ago
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