Aficionada profile image 93

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?

sort by best latest

Tusitala Tom profile image90

Tom Ware (Tusitala Tom) says

3 years ago
 |  Comment
calculus-geometry profile image84

TR Smith (calculus-geometry) says

3 years ago
 |  Comment
  • tussin profile image

    I'M BANNED Y'ALL!!!!!!!!!! (tussin) 3 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.

  • See all 2 comments

JThomp42 says

3 years ago
 |  Comment