Repost Puzzle [SOLUTION ADDED]
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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
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?)
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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
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:
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
so how does he determine 1/2 ?
image processing toolkits | batch image processing | blogging
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so how does he determine 1/2 ?
image processing toolkits | batch image processing | blogging
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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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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
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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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
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
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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
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
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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
ding ding. we have a winner.
image processing toolkits | batch image processing | blogging
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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.
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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
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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ding ding. we have a winner.
image processing toolkits | batch image processing | blogging
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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
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.
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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.
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
-
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
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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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
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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the question asked is Whether the method applied by the grocer is fair ?
Omit Needless Words - Strunk, William, Jr.
Vista? Soapbox Videogadget here
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
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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
Ooops - I meant to say a beam balance...
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HERE is a sample of PAN Balance[^]
Omit Needless Words - Strunk, William, Jr.
Vista? Soapbox Videogadget here
Yes - I meant to say beam balance[^]
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the question asked is Whether the method applied by the grocer is fair ?
Omit Needless Words - Strunk, William, Jr.
Vista? Soapbox Videogadget here
No, you also asked to know the reasoning. Simply saying, "no, it isn't fair" isn't enough.