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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)

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A more logically understood answer for logischer Verstand | Comment 7 of 13 |
(In reply to A question for Sam, or anybody else by logischer Verstand)

Dear Mr. "logischer Verstand" (which means "more logically understood" in German), 
 
Any Internet search on the phrase "evenly divisible" quickly supplies the answer to your question. For instance, a Fresno University mathematics professor writes: "2620461 is evenly divisble by 3". That answers your question. "Evenly divisible" clearly means "divisible with no remainder".
 
 
 
 
 
 
 

  Posted by Penny on 2004-04-24 03:13:46
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