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# Convent Garden Problem

Best Answer bonanova, 08 March 2013 - 03:43 AM

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Posted 07 March 2013 - 10:28 PM

Here is a puzzle known as the Covent Garden Problem, which appeared in London half a century ago, accompanied by the somewhat surprising assertion that it had mystified the best mathematicians of England:

Mrs. Smith and Mrs. Jones had equal number of apples but Mrs. Jones had larger fruits and was selling hers at the rate of two for a penny, while Mrs. Smith sold three of hers for a penny.

Mrs. Smith was for some reason called away and asked Mrs. Jones to dispose of her stock. Upon accepting the responsibility of disposing her friend's stock, Mrs. Jones mixed them together and sold them of at the rate of five apples for two pence.

When Mrs. Smith returned the next day the apples had all been disposed of, but when they came to divide the proceeds they found that they were just seven pence short, and it is this shortage in the apple or financial market which has disturbed the mathematical equilibrium for such a long period.

Supposing that they divided the money equally, each taking one-half, the problem is to tell just how much money Mrs. Jones lost by the unfortunate partnership?

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### #2 bonanova

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Posted 08 March 2013 - 03:43 AM   Best Answer

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

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Posted 08 March 2013 - 03:53 AM

i would check your 'pences' (pence?)

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### #4 bonanova

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Posted 08 March 2013 - 06:40 AM

I think my pence are right but,

Spoiler for Checking my percents

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

### #5 bhramarraj

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Posted 08 March 2013 - 11:42 AM

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