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Just Keep the Change (Posted on 2003-06-15) Difficulty: 3 of 5
In a certain country, it takes a minimum of exactly 5 coins to make 13 cents, and a minimum of exactly 4 coins to make 14 cents.

What are the denominations of the coins (of value less than 15 cents) in this country?

Bonus: What country is it?

See The Solution Submitted by DJ    
Rating: 4.1818 (11 votes)

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Solution Without a country... | Comment 11 of 13 |
Coin denominations have been officially minted in various values. Those values that have been minted in cents under 15 are: , , 1, 2, 2, 3, 5, and 10

Given the possibility of any combination of these there are two possible solutions to the coin denominations:
2 and 5
   13 = 2+2+2+2+5
   14 = 2+2+5+5
and
, 2, 2, and 5
   13 = ++2+5+5 OR 2+2+2+2+5
   14 = 2+2+5+5

There is not a nation that is limited to only these denominations for cent coins under 15. In addition to these I've listed, cent coins have also been minted for 15, 20, 25, 50, 100 and 250. 
One should note that coins identified as cents are not to be confused with coins designated as half-penny, penny, dime, quarter dollar, half dollar, and dollar coins, etc. Though these coins may be identified equivalent to coins valued in cents (as they are subunits or a multiple of subunits of the decimilized base unit where 1 cent = 1/100 of the base unit, usually the dollar), they are not strictly cents, as a cent is the name of the subunit just as the piaster and pence are both 1/100 subunits of a pound (for different national currencies).

Edited on April 25, 2012, 4:49 pm
  Posted by Dej Mar on 2012-04-25 04:15:31

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