Post Go back to editing

KCC's Quizzes AQQ292 about weighing using 2-plates scale

1. First, the quote of the week: "Some people create their own storms and then get mad when it rains" - Unknown

                                             

 2. New challenge with AQQ292 about using a two-plates scale.

This is a kind proposal from a frequent participant: Herman Neufeld, Analog & Mixed Signals Specialist):

You are asked to design a two-dish scale that weighs amounts of a substance from 1 to 40 grams in integer amounts.

Hence your task is to determine:

  1. What is the minimum number counterweights you need?
  2. What are the weigh values of these counterweights?

These, in order to weigh this substance,

Good luck and try to be among the first ones!

P.S. Please forward such quizzes to friends and colleagues who want also to "relax" their brains...

Please share your answer to view other submitted answers
Parents
  • I think you need 6 weights: 1, 2, 3, 5, 10 and 20 grams.

    1 1
    2 2
    3 3
    4 3+1
    5 5
    6 5+1
    7 5+2
    8 5+3
    9 5+3+1
    10 10
    11 10+1
    12 10+2
    13 10+3
    14 10+3+1
    15 10+5
    16 10+5+1
    17 10+5+2
    18 10+5+3
    19 10+5+3+1
    20 20
    21 20+1
    22 20+2
    23 20+3
    24 20+3+1
    25 20+5
    26 20+5+1
    27 20+5+2
    28 20+5+3
    29 20+5+3+1
    30 20+10
    31 20+10+1
    32 20+10+2
    33 20+10+3
    34 20+10+3+1
    35 20+10+5
    36 20+10+5+1
    37 20+10+5+2
    38 20+10+5+3
    39 20+10+5+3+1
    40 20+10+5+3+2
  • Thanks  for your nice development. But there is a solution with less counterweights! One needs also to rethink the way how items are put on the plates... May be you want to retry?

Reply Children
No Data