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  3. Repost Puzzle [SOLUTION ADDED]

Repost Puzzle [SOLUTION ADDED]

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  • R Raj Lal

    Since nobody was able to solve it yesterday, i wanted to give a chance to those guys who did not tried Puzzle of the (YESTER)Day A grocer discovered his beam balance was faulty, So he started a new method for weighing customer's orders He divides the order into two halves, putting the first half in the left hand of the balance and weights in the right, then do the opposite. The method is unique no doubt, but is the method fair also, to both his customers and himself ? You can hide , you can run, but you cannot escape, Vote it down if you want to escape i mean if you think the puzzle is not worth a repost. HERE is a sample of PAN Balance[^] SOLUTION[^]

    Omit Needless Words - Strunk, William, Jr.


    Vista? Soapbox Videogadget here

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    Chris Losinger
    wrote on last edited by
    #19

    if the balance isn't fair with W, how can it be 'fair' with W/2 ? and how does he determine W/2, without a balance? (by volume? by item count?)

    image processing toolkits | batch image processing | blogging

    R 1 Reply Last reply
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    • C Chris Losinger

      if the balance isn't fair with W, how can it be 'fair' with W/2 ? and how does he determine W/2, without a balance? (by volume? by item count?)

      image processing toolkits | batch image processing | blogging

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      Raj Lal
      wrote on last edited by
      #20

      Chris Losinger wrote:

      if the balance isn't fair with W, how can it be 'fair' with W/2 ?

      it won't be so the grocer thought to weigh 1/2 in the left with the weight in the right and half on the right with the weight in the left to make it fair thats the question

      Omit Needless Words - Strunk, William, Jr.


      Vista? Soapbox Videogadget here

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      • R Raj Lal

        Chris Losinger wrote:

        if the balance isn't fair with W, how can it be 'fair' with W/2 ?

        it won't be so the grocer thought to weigh 1/2 in the left with the weight in the right and half on the right with the weight in the left to make it fair thats the question

        Omit Needless Words - Strunk, William, Jr.


        Vista? Soapbox Videogadget here

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        Chris Losinger
        wrote on last edited by
        #21

        so how does he determine 1/2 ?

        image processing toolkits | batch image processing | blogging

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        • C Chris Losinger

          so how does he determine 1/2 ?

          image processing toolkits | batch image processing | blogging

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          Raj Lal
          wrote on last edited by
          #22

          thats the assumption here ( which should be taken as correct ) That can be item count or any other reliable way

          Omit Needless Words - Strunk, William, Jr.


          Vista? Soapbox Videogadget here

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          • P PIEBALDconsult

            hlmechanic wrote:

            REALLY need to know what is wrong with balance

            Exactly, the puzzle doesn't have all the information, the worst kind.

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            Raj Lal
            wrote on last edited by
            #23

            PIEBALDconsult wrote:

            the puzzle doesn't have all the information, the worst kind

            Ever wonder ! why it is called a puzzle !

            Omit Needless Words - Strunk, William, Jr.


            Vista? Soapbox Videogadget here

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            • R Raj Lal

              thats the assumption here ( which should be taken as correct ) That can be item count or any other reliable way

              Omit Needless Words - Strunk, William, Jr.


              Vista? Soapbox Videogadget here

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              PIEBALDconsult
              wrote on last edited by
              #24

              That's nonsense, at least as regards groceries as I understand them. Now if he were a water seller, that would be something else, but then he'd sell by volume rather than weight. Unless the answer is, "it would never be fair to sell groceries all at the same price per unit of weight", there can be no definitive answer to the problem as stated. And I argue that even that answer is incorrect.

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              • R Raj Lal

                thats the assumption here ( which should be taken as correct ) That can be item count or any other reliable way

                Omit Needless Words - Strunk, William, Jr.


                Vista? Soapbox Videogadget here

                D Offline
                D Offline
                David Crow
                wrote on last edited by
                #25

                Quartz... wrote:

                thats the assumption here ( which should be taken as correct )

                So if we assume that 1/2 the order can be weighed correctly, just multiply it by 2 to get the weight of the whole order. :rolleyes:


                "Approved Workmen Are Not Ashamed" - 2 Timothy 2:15

                "Judge not by the eye but by the heart." - Native American Proverb

                R C 2 Replies Last reply
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                • D David Crow

                  Quartz... wrote:

                  thats the assumption here ( which should be taken as correct )

                  So if we assume that 1/2 the order can be weighed correctly, just multiply it by 2 to get the weight of the whole order. :rolleyes:


                  "Approved Workmen Are Not Ashamed" - 2 Timothy 2:15

                  "Judge not by the eye but by the heart." - Native American Proverb

                  R Offline
                  R Offline
                  Raj Lal
                  wrote on last edited by
                  #26

                  the assumption is he is able to divide the order in two halfs he cannot weigh any of the halfs accurately Example if he is selling packets of sugar and there are 4 packets he knows that half of them will be two packets , but he won't know that how much woulds be the weight of a single packet or two packets

                  Omit Needless Words - Strunk, William, Jr.


                  Vista? Soapbox Videogadget here

                  P D 2 Replies Last reply
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                  • D David Crow

                    Quartz... wrote:

                    thats the assumption here ( which should be taken as correct )

                    So if we assume that 1/2 the order can be weighed correctly, just multiply it by 2 to get the weight of the whole order. :rolleyes:


                    "Approved Workmen Are Not Ashamed" - 2 Timothy 2:15

                    "Judge not by the eye but by the heart." - Native American Proverb

                    C Offline
                    C Offline
                    Chris Losinger
                    wrote on last edited by
                    #27

                    ding ding. we have a winner.

                    image processing toolkits | batch image processing | blogging

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                    • T Tim Deveaux

                      Is it a scale or a balance? A balance doesn't have two pans - I don't see how you could put a large dollop of loose lard on the beam side without causing the customer some concern.

                      R Offline
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                      Raj Lal
                      wrote on last edited by
                      #28

                      HERE is a sample of PAN Balance[^]

                      Omit Needless Words - Strunk, William, Jr.


                      Vista? Soapbox Videogadget here

                      T 1 Reply Last reply
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                      • R Raj Lal

                        the assumption is he is able to divide the order in two halfs he cannot weigh any of the halfs accurately Example if he is selling packets of sugar and there are 4 packets he knows that half of them will be two packets , but he won't know that how much woulds be the weight of a single packet or two packets

                        Omit Needless Words - Strunk, William, Jr.


                        Vista? Soapbox Videogadget here

                        P Offline
                        P Offline
                        PIEBALDconsult
                        wrote on last edited by
                        #29

                        It's printed on the packet. And why would he be selling them by weight? Or individually for that matter? And what if the customer is buying a packet of sugar and a watermelon?

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                        • C Chris Losinger

                          ding ding. we have a winner.

                          image processing toolkits | batch image processing | blogging

                          R Offline
                          R Offline
                          Raj Lal
                          wrote on last edited by
                          #30

                          the question asked is Whether the method applied by the grocer is fair ?

                          Omit Needless Words - Strunk, William, Jr.


                          Vista? Soapbox Videogadget here

                          D P 2 Replies Last reply
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                          • R Raj Lal

                            Since nobody was able to solve it yesterday, i wanted to give a chance to those guys who did not tried Puzzle of the (YESTER)Day A grocer discovered his beam balance was faulty, So he started a new method for weighing customer's orders He divides the order into two halves, putting the first half in the left hand of the balance and weights in the right, then do the opposite. The method is unique no doubt, but is the method fair also, to both his customers and himself ? You can hide , you can run, but you cannot escape, Vote it down if you want to escape i mean if you think the puzzle is not worth a repost. HERE is a sample of PAN Balance[^] SOLUTION[^]

                            Omit Needless Words - Strunk, William, Jr.


                            Vista? Soapbox Videogadget here

                            T Offline
                            T Offline
                            Tom Welch
                            wrote on last edited by
                            #31

                            Well, if he the scale is off by X, then one side (A) will weigh:

                            A + X == CounterWeightA

                            The other (B) will weigh:

                            B - X == CounterWeightB

                            So:

                            CounterWeightA + CounterWeightB = (A + X) + (B - X)

                            Therefore:

                            CounterWeightA + CounterWeightB = A + B

                            Fair, no? But he'll have a heck of a time balancing things if A or B is < X. Of course, he could fix it all by using dead weights to tare the balance first.

                            P D 2 Replies Last reply
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                            • T Tim Deveaux

                              Is it a scale or a balance? A balance doesn't have two pans - I don't see how you could put a large dollop of loose lard on the beam side without causing the customer some concern.

                              D Offline
                              D Offline
                              David Crow
                              wrote on last edited by
                              #32

                              Tim Deveaux wrote:

                              A balance doesn't have two pans...

                              Are you sure? Balance: an instrument for determining weight, typically by the equilibrium of a bar with a fulcrum at the center, from each end of which is suspended a scale or pan.


                              "Approved Workmen Are Not Ashamed" - 2 Timothy 2:15

                              "Judge not by the eye but by the heart." - Native American Proverb

                              T 1 Reply Last reply
                              0
                              • R Raj Lal

                                Since nobody was able to solve it yesterday, i wanted to give a chance to those guys who did not tried Puzzle of the (YESTER)Day A grocer discovered his beam balance was faulty, So he started a new method for weighing customer's orders He divides the order into two halves, putting the first half in the left hand of the balance and weights in the right, then do the opposite. The method is unique no doubt, but is the method fair also, to both his customers and himself ? You can hide , you can run, but you cannot escape, Vote it down if you want to escape i mean if you think the puzzle is not worth a repost. HERE is a sample of PAN Balance[^] SOLUTION[^]

                                Omit Needless Words - Strunk, William, Jr.


                                Vista? Soapbox Videogadget here

                                P Offline
                                P Offline
                                PIEBALDconsult
                                wrote on last edited by
                                #33

                                OK, you've posted an image a balance; now how exactly is the balance faulty? If one of those pan supports were to break, there would be no way to use the balance until it's fixed.

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                                • R Raj Lal

                                  the assumption is he is able to divide the order in two halfs he cannot weigh any of the halfs accurately Example if he is selling packets of sugar and there are 4 packets he knows that half of them will be two packets , but he won't know that how much woulds be the weight of a single packet or two packets

                                  Omit Needless Words - Strunk, William, Jr.


                                  Vista? Soapbox Videogadget here

                                  D Offline
                                  D Offline
                                  David Crow
                                  wrote on last edited by
                                  #34

                                  Quartz... wrote:

                                  he cannot weigh any of the halfs accurately

                                  So why is the scale even being used then?


                                  "Approved Workmen Are Not Ashamed" - 2 Timothy 2:15

                                  "Judge not by the eye but by the heart." - Native American Proverb

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                                  • R Raj Lal

                                    the question asked is Whether the method applied by the grocer is fair ?

                                    Omit Needless Words - Strunk, William, Jr.


                                    Vista? Soapbox Videogadget here

                                    D Offline
                                    D Offline
                                    David Crow
                                    wrote on last edited by
                                    #35

                                    Quartz... wrote:

                                    the question asked is Whether the method applied by the grocer is fair ?

                                    No, since you've previously indicated that "he cannot weigh any of the halfs accurately." That constraint alone nullifies any attempt at weighing the order by 1/2, 1/4, etc.


                                    "Approved Workmen Are Not Ashamed" - 2 Timothy 2:15

                                    "Judge not by the eye but by the heart." - Native American Proverb

                                    R 1 Reply Last reply
                                    0
                                    • D David Crow

                                      Tim Deveaux wrote:

                                      A balance doesn't have two pans...

                                      Are you sure? Balance: an instrument for determining weight, typically by the equilibrium of a bar with a fulcrum at the center, from each end of which is suspended a scale or pan.


                                      "Approved Workmen Are Not Ashamed" - 2 Timothy 2:15

                                      "Judge not by the eye but by the heart." - Native American Proverb

                                      T Offline
                                      T Offline
                                      Tim Deveaux
                                      wrote on last edited by
                                      #36

                                      Ooops - I meant to say a beam balance...

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                                      0
                                      • R Raj Lal

                                        HERE is a sample of PAN Balance[^]

                                        Omit Needless Words - Strunk, William, Jr.


                                        Vista? Soapbox Videogadget here

                                        T Offline
                                        T Offline
                                        Tim Deveaux
                                        wrote on last edited by
                                        #37

                                        Yes - I meant to say beam balance[^]

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                                        • R Raj Lal

                                          the question asked is Whether the method applied by the grocer is fair ?

                                          Omit Needless Words - Strunk, William, Jr.


                                          Vista? Soapbox Videogadget here

                                          P Offline
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                                          PIEBALDconsult
                                          wrote on last edited by
                                          #38

                                          No, you also asked to know the reasoning. Simply saying, "no, it isn't fair" isn't enough.

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