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# Golden Puzzle !

Which is worth more,a bucket full of half a sovereign gold pieces or an identical bucket full of 1 sovereign gold pieces ?
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sinha_anshul26
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3 Solutions

Commented:
If they're the old originals, I'll take the half sovereigns.
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Commented:
Is the puzzle supposed to be an identical bucket half-full of 1 sovereign pieces?
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I don't know but if you melt it down and make new domestic gold pieces, then you could actually spend them.
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Commented:
The original sovereigns were 23 carat, but later both sovereigns and half sovereigns were 22 carat.

If talking about both being 22 carat, I would take the half sovereigns. Because the coins are smaller, there would be less wasted space in the bucket.
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Commented:
Hi,

The amount of gold is same both ways if there is no significant difference in wasted space in the bucket because both the buckets are filled with gold to the brim  anyway!

Is that right??
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Commented:
So no bucket is worth more than he other!!!
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Commented:
the*
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Commented:
I think smaller objects will always have less wasted space when put into a container.
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Author Commented:
snoyes_jw you are close to answer...keep trying
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Commented:
>snoyes_jw you are close to answer...keep trying

Is the correct answer to find the error in the question?

I wondered the same as snoyes_jw, a half bucket-full of 1 sovs or a full bucket of half-sovs?
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Author Commented:
No error  in question
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Commented:
The denomination of coin makes no difference, it's the volume of gold that matters.  And the bucket with sovereign coins is only half full, so the bucket of half-sovereigns is worth more. Right?
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Commented:
ISoul, yes, I agree with you, can not fault your logic.
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Author Commented:
For  snoyes_jw--
According to answer given in book you are  perfectly right. VERY GOOD !!

But what I dont understand  is how from the ' language of the question '  did you make out that one bucket is HALF FULL ?  Nowhere in the Q.is mentioned that  bucket is  " half full "  ? It rather states both are full of gold....

What is the trick hidden in the language of the question ?
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Commented:
The trick is that the puzzle is incorrectly written in the book, and I found the answer on a web site that can't spell words like "portal" correctly.

http://www.kidswebindia.com/puzzle.php
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Commented:
How can there be identical bucket half full of one soverign pieces if in the question you said full bucket of 1 soverign pieces.
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Commented:
Hah, so the question was wrong!!
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Commented:
I said the question was wrong, and so did snoyes before me, but I was told there was no error in the question. I'm confused now.
Intrested by  bk_jreinstein's clever observation of the word 'identical'.
Bucket 'A' contains x gold sovs, an identical bucket (B, if you like) must also contain x gold sovs, else it wouldn't be identical would it?

sinha,
The question just sounds not quite right. Usually the riddle is meaningful, but there is a sort of poetry in the way it is asked, almost a rhyme sometimes, sometimes there to mislead, sometimes to appear to be more complicated than it really is, an sometimes just to make it sound more entertaining.
I would have expected it to be 'a bucket half-full of sovereigns, or a bucket full of half-sovereigns', there is a nice sort of rhythm where the word 'half' moves in the phrases and still makes sense but with a possibly different meaning. The puzzle is to determine whether there is a different meaning or not (is one worth more than the other?).

My grandfather used to ask me a riddle 'What will go up a chimney down but won't go down a chimney up?' - there is an answer that is easy if you know it, but can you see the similar play on words to your half-bucket and half-sovereign?
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Commented:
Maybe she meant that the buckets were identical and then the contents were added or the bucket was identical and not its contents.
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Commented:
In the case that the question wording was right and that by identical she didn't mean the contents, then my answer would be correct.
:(
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Commented:
>>I think smaller objects will always have less wasted space when put into a container.
I don't understand, how?
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Commented:
If the question were twisted, I can see:

1--a bucket full of half a sovereign gold pieces...a bucket full/half of "a" or one sovereign pieces..or half full of one-sovereign pieces

2--or an identical bucket full of 1 sovereign gold pieces  ...just one gold piece?

3--a bucket full of half a sovereign gold pieces or an identical bucket full of 1 sovereign gold pieces..substitute "bucket full of half" for "identical bucket" and get: a bucket full of half a sovereign gold pieces or a bucket full of half full of 1 sovereign gold pieces......

for twist 1--The bucket1, could be half full of one-soveriegn pieces and bucket2 full of one-sovereign pieces..but I can't get a bucket of half-sovereign pieces this way. Bucket2 is worth more with a full bucket of one-sovereign pieces.

for twist 2--The bucket1 is full of half-sovereign pieces and bucket2 has simply 1 gold piece in it...I can't get a half bucket this way. Bucket1 is worth more with a full bucket of half-sovereign pieces.

for twist 3--the substitution using "identical" to pop in the identical words from bucket1 "bucket full of half" would give you your half bucket of one-sovereign pieces. This is likely the twist...but, I would say a clumsy twist.

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Commented:
Which is worth more, a bucket full of half a sovereign gold pieces or an "identical bucket full" of 1 sovereign gold pieces ?
Twisted to : Which is worth more, a "bucket full of half" a sovereign gold pieces or a "bucket full of half" of 1 sovereign gold pieces ? This version reads better than my last post.
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Commented:
Similar questions:

Which would be worth more - a trunk full of nickels or a half a trunk full of dimes?
http://72.14.207.104/search?q=cache:466DmdzIMjsJ:jewel.morgan.edu/~salimian/humor/NG_60s.html+bucket+worth+more+nickels+dimes&hl=en&gl=us&ct=clnk&cd=8&lr=lang_en

Which is worth more—a bucket full of nickels or the same bucket half full of dimes?
http://www.areyougame.com/interact/item.asp?q=University+Games&qmethod=0&itemno=01800&sa=50

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Commented:
anyway bucket1 has 1/2 sovereign and bucket2 has 1 sovereign . 1 sovereign  rate is high
Answer:bucket full of 1 sovereign gold pieces.
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Commented:
Heh.
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