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Breaking the Bank (Posted on 2004-04-07) Difficulty: 3 of 5
Zoe removes the low-denomination coins from her purse every evening and puts them in a row of piggy banks. She has acquired the piggy banks while on holiday and each of them contains coins of a different denomination. Last night Zoe counted the money in them. Here is what she found:

- There was more than £1.40 in the plastic piggy bank, which contained coins of a higher denomination than the ones Zoe keeps in the piggy bank she bought from bournemouth, which is not where she got the bank that holds her 2p pieces.
- The 5p pieces are not kept in the terracotta piggy bank, which contained less than £1.75.
- The coins in the bank made of tin were worth an even number of pence and this bank contained coins of a lower denomination than the ones in the piggy bank from Southwald.
- One of the piggy banks yielded £1.50, but not the one purchased in Weston-super-Mare. The piggy bank used to store 20p pieces contained a greater sum of money than the one containing 5p pieces.
- The china bank, which is used to store coins of one of the lowest three denominations, contained 20p more than was in the piggy bank from Margate.
- The bank that she bought in Torquay may or may not have been the one made out of wood.

Given that Zoe found totals of £1.40, £1.50, £1.60, £1.70, £1.75, and the coins she kept were in denominations of 1p, 2p, 5p, 10p and 20p (100p = £1), can you work out what she found?

See The Solution Submitted by Sam    
Rating: 4.0000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution More than 50 valid solutions !!!! Comment 13 of 13 |
My Whodunit-Buster program found 56 valid solutions before I stopped it. I think these are all distinct solutions.
  
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 2p plastic Margate
L=1.60 10p tin Weston-super-Mare
L=1.70 5p china Torquay
L=1.75 20p wood Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 2p plastic Margate
L=1.60 10p tin Torquay
L=1.70 5p china Weston-super-Mare
L=1.75 20p wood Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 2p tin Margate
L=1.60 10p plastic Southwald
L=1.70 5p china Weston-super-Mare
L=1.75 20p wood Torquay
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 2p tin Margate
L=1.60 10p plastic Southwald
L=1.70 5p china Torquay
L=1.75 20p wood Weston-super-Mare
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 2p tin Margate
L=1.60 10p plastic Weston-super-Mare
L=1.70 5p china Southwald
L=1.75 20p wood Torquay
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 2p tin Margate
L=1.60 10p plastic Weston-super-Mare
L=1.70 5p china Torquay
L=1.75 20p wood Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 2p tin Margate
L=1.60 10p plastic Torquay
L=1.70 5p china Southwald
L=1.75 20p wood Weston-super-Mare
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 2p tin Margate
L=1.60 10p plastic Torquay
L=1.70 5p china Weston-super-Mare
L=1.75 20p wood Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 2p tin Margate
L=1.60 10p wood Southwald
L=1.70 5p china Weston-super-Mare
L=1.75 20p plastic Torquay
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 2p tin Margate
L=1.60 10p wood Southwald
L=1.70 5p china Torquay
L=1.75 20p plastic Weston-super-Mare
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 2p tin Margate
L=1.60 10p wood Weston-super-Mare
L=1.70 5p china Southwald
L=1.75 20p plastic Torquay
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 2p tin Margate
L=1.60 10p wood Weston-super-Mare
L=1.70 5p china Torquay
L=1.75 20p plastic Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 2p tin Margate
L=1.60 10p wood Torquay
L=1.70 5p china Southwald
L=1.75 20p plastic Weston-super-Mare
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 2p tin Margate
L=1.60 10p wood Torquay
L=1.70 5p china Weston-super-Mare
L=1.75 20p plastic Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 2p wood Margate
L=1.60 10p tin Weston-super-Mare
L=1.70 5p china Torquay
L=1.75 20p plastic Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 2p wood Margate
L=1.60 10p tin Torquay
L=1.70 5p china Weston-super-Mare
L=1.75 20p plastic Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p plastic Margate
L=1.60 10p tin Weston-super-Mare
L=1.70 2p china Torquay
L=1.75 20p wood Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p plastic Margate
L=1.60 10p tin Torquay
L=1.70 2p china Weston-super-Mare
L=1.75 20p wood Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p tin Margate
L=1.60 10p plastic Southwald
L=1.70 2p china Weston-super-Mare
L=1.75 20p wood Torquay
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p tin Margate
L=1.60 10p plastic Southwald
L=1.70 2p china Torquay
L=1.75 20p wood Weston-super-Mare
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p tin Margate
L=1.60 10p plastic Weston-super-Mare
L=1.70 2p china Torquay
L=1.75 20p wood Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p tin Margate
L=1.60 10p plastic Torquay
L=1.70 2p china Weston-super-Mare
L=1.75 20p wood Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p tin Margate
L=1.60 10p wood Southwald
L=1.70 2p china Weston-super-Mare
L=1.75 20p plastic Torquay
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p tin Margate
L=1.60 10p wood Southwald
L=1.70 2p china Torquay
L=1.75 20p plastic Weston-super-Mare
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p tin Margate
L=1.60 10p wood Weston-super-Mare
L=1.70 2p china Torquay
L=1.75 20p plastic Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p tin Margate
L=1.60 10p wood Torquay
L=1.70 2p china Weston-super-Mare
L=1.75 20p plastic Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p tin Margate
L=1.60 20p plastic Southwald
L=1.70 2p china Weston-super-Mare
L=1.75 10p wood Torquay
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p tin Margate
L=1.60 20p plastic Southwald
L=1.70 2p china Torquay
L=1.75 10p wood Weston-super-Mare
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p tin Margate
L=1.60 20p plastic Weston-super-Mare
L=1.70 2p china Torquay
L=1.75 10p wood Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p tin Margate
L=1.60 20p plastic Torquay
L=1.70 2p china Weston-super-Mare
L=1.75 10p wood Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p tin Margate
L=1.60 20p wood Southwald
L=1.70 2p china Weston-super-Mare
L=1.75 10p plastic Torquay
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p tin Margate
L=1.60 20p wood Southwald
L=1.70 2p china Torquay
L=1.75 10p plastic Weston-super-Mare
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p tin Margate
L=1.60 20p wood Weston-super-Mare
L=1.70 2p china Torquay
L=1.75 10p plastic Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p tin Margate
L=1.60 20p wood Torquay
L=1.70 2p china Weston-super-Mare
L=1.75 10p plastic Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p wood Margate
L=1.60 10p tin Weston-super-Mare
L=1.70 2p china Torquay
L=1.75 20p plastic Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 5p wood Margate
L=1.60 10p tin Torquay
L=1.70 2p china Weston-super-Mare
L=1.75 20p plastic Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p plastic Margate
L=1.60 2p tin Weston-super-Mare
L=1.70 5p china Southwald
L=1.75 20p wood Torquay
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p plastic Margate
L=1.60 2p tin Weston-super-Mare
L=1.70 5p china Torquay
L=1.75 20p wood Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p plastic Margate
L=1.60 2p tin Torquay
L=1.70 5p china Southwald
L=1.75 20p wood Weston-super-Mare
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p plastic Margate
L=1.60 2p tin Torquay
L=1.70 5p china Weston-super-Mare
L=1.75 20p wood Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p plastic Margate
L=1.60 5p tin Weston-super-Mare
L=1.70 2p china Torquay
L=1.75 20p wood Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p plastic Margate
L=1.60 5p tin Torquay
L=1.70 2p china Weston-super-Mare
L=1.75 20p wood Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p tin Margate
L=1.60 2p plastic Weston-super-Mare
L=1.70 5p china Torquay
L=1.75 20p wood Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p tin Margate
L=1.60 2p plastic Torquay
L=1.70 5p china Weston-super-Mare
L=1.75 20p wood Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p tin Margate
L=1.60 2p wood Weston-super-Mare
L=1.70 5p china Torquay
L=1.75 20p plastic Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p tin Margate
L=1.60 2p wood Torquay
L=1.70 5p china Weston-super-Mare
L=1.75 20p plastic Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p tin Margate
L=1.60 5p plastic Weston-super-Mare
L=1.70 2p china Torquay
L=1.75 20p wood Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p tin Margate
L=1.60 5p plastic Torquay
L=1.70 2p china Weston-super-Mare
L=1.75 20p wood Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p tin Margate
L=1.60 5p wood Weston-super-Mare
L=1.70 2p china Torquay
L=1.75 20p plastic Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p tin Margate
L=1.60 5p wood Torquay
L=1.70 2p china Weston-super-Mare
L=1.75 20p plastic Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p wood Margate
L=1.60 2p tin Weston-super-Mare
L=1.70 5p china Southwald
L=1.75 20p plastic Torquay
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p wood Margate
L=1.60 2p tin Weston-super-Mare
L=1.70 5p china Torquay
L=1.75 20p plastic Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p wood Margate
L=1.60 2p tin Torquay
L=1.70 5p china Southwald
L=1.75 20p plastic Weston-super-Mare
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p wood Margate
L=1.60 2p tin Torquay
L=1.70 5p china Weston-super-Mare
L=1.75 20p plastic Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p wood Margate
L=1.60 5p tin Weston-super-Mare
L=1.70 2p china Torquay
L=1.75 20p plastic Southwald
---------------------------------------------------------------------------
L=1.40 1p terracotta bournemouth
L=1.50 10p wood Margate
L=1.60 5p tin Torquay
L=1.70 2p china Weston-super-Mare
L=1.75 20p plastic Southwald
---------------------------------------------------------------------------

  Posted by Penny on 2004-07-29 22:34:53
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