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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?

  Submitted by Sam    
Rating: 4.0000 (5 votes)
Solution: (Hide)
Hint:

If you find yourself stuck, note that not everything has been handed to you explicitly. Can each of the denominations add up to each of the totals?

-

Solution

1. China, Torquay, 2p pieces, £1.70
2. Plastic, Margate, 5p pieces, £1.50
3. Terracotta, Southwold, 20p pieces, £1.60
4. Tin, Weston-super-Mare, 10p pieces, £1.40
5. Woon, Bournemouth, 1p pieces, £1.75

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionMore than 50 valid solutions !!!!Penny2004-07-29 22:34:53
Good point, han chou !!Penny2004-05-07 00:29:41
Questiontwo solutions?han chou2004-05-06 17:46:04
re(3): A more logically understood answer for logischer VerstandPenny2004-04-28 14:55:53
re(2): A more logically understood answer for logischer VerstandSam2004-04-27 23:19:50
re: A more logically understood answer for logischer Verstandlogischer Verstand2004-04-24 19:08:56
A more logically understood answer for logischer VerstandPenny2004-04-24 03:13:46
QuestionA question for Sam, or anybody elselogischer Verstand2004-04-23 21:58:00
The number of comments this problem is getting is absolutely underwhelming !!Penny2004-04-09 20:54:14
re: Don't everybody reply at once.Benjamin J. Ladd2004-04-09 03:01:46
Don't everybody reply at once.Penny2004-04-08 11:21:54
Method used (no program needed)Penny2004-04-07 23:03:36
SolutionSolutionPenny2004-04-07 18:47:50
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