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#1 2009-06-08 16:53:21

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,427

An oldie!

This is an old puzlle, nevertheless interesting.
Rod, mathsy and Ricky attend Ganesh's birthday party.
Rod brings 5 cadnles with him, mathsy brings 3. Ricky doesn't bring anything.
The three of them have an understanding whereby all of the spend equally on outings.
While returning, Ricky gives $15 as his contribution.
The candles all are alike and cost the same.
The question is, how should the $15 be distributed among Rod and mathsy?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#2 2009-06-08 23:55:36

TheDude
Member
Registered: 2007-10-23
Posts: 361

Re: An oldie!

Last edited by TheDude (2009-06-10 00:06:49)


Wrap it in bacon

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#3 2009-06-09 00:43:52

integer
Member
Registered: 2008-02-21
Posts: 79

Re: An oldie!

TheDude  well done.
I think you should add a line to show the equality.

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#4 2009-06-10 00:07:05

TheDude
Member
Registered: 2007-10-23
Posts: 361

Re: An oldie!

Edited to prove the equality.


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#5 2009-06-13 19:16:01

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,427

Re: An oldie!

TheDude,
I am sorry to say you are wrong.
If you need an answer, I shall post it in a day or two.
This is from a Russian book in Mathematics.
We all know how good the Russians are in Mathematics.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#6 2009-06-14 04:02:51

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

Re: An oldie!

Well, the question doesn't state that my contribution of $15 was me paying my third.  It could very well be that I was cheap and the candles totaled over $45.  Is this a correct interpretation Ganesh?


"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

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#7 2009-06-14 23:15:38

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,427

Re: An oldie!

No, it isn.t.

The three of them have an understanding whereby all of the spend equally on outings.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#8 2009-06-17 21:53:18

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,427

Re: An oldie!

I am teriibly sorry, TheDude!
The question should have read Ricky conributes $8.
Your answer is not offmarkk.
I am unable to type what is in my mind,
Most sincere apology, TheDude!


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#9 2009-06-18 00:39:13

TheDude
Member
Registered: 2007-10-23
Posts: 361

Re: An oldie!

No worries ganesh, just takes switching around some numbers.


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#10 2009-06-18 02:47:06

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: An oldie!

I think it would be fairer if we get given $1 for every candle we brought.

I want $3. sad


Why did the vector cross the road?
It wanted to be normal.

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