Enigma 1298: Odd change
27 August 2014
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From New Scientist #2456, 17th July 2004
I have some coins in my purse whose total value is less than 1 pound sterling. I have tried to make various totals using one or more of these coins and I have discovered two interesting facts.
First, each possible total can only be achieved by one particular combination of denominations. Secondly, the number of different totals possible equals the total value of the coins in pence. If I added any number of 1 pound coins to my purse those two facts would still be true.
Current UK coins with a value less than 1 pound are 50p, 20p, 10p, 5p, 2p, and 1p.
How much money do I have in total in my purse?
Note: I am waiting for a phone line to be connected at my new house, so I only have sporadic access to the internet at the moment.