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Missions impossible (Posted on 2014-11-17) Difficulty: 3 of 5
A certain chain store sells chocolate bars in packets of 17 and 9 only. Clearly, you could not get 8 or 25 bars. Find all quantities of bars that you cannot buy.

Generalize for m and n, mutually prime integers, m>n.

No Solution Yet Submitted by Ady TZIDON    
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Hints/Tips re: Start of a General Solution Comment 3 of 3 |
(In reply to Start of a General Solution by Omri)

ok, just show that above a certain number N any given quantity is representable in terms of m and n.

e.g. if there were only 5 and 3 dollar bills then 7 is the highest amount that cannot be paid: 5+3, 3+3+3, 5+5  and so on by adding 3's only.


  Posted by Ady TZIDON on 2014-11-25 17:50:24
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