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?
The coin values are 2 cents and 5 cents.
The fewest coins needed to make 13 is five: 5,2,2,2,2
The fewest coins needed to make 14 is four: 5,5,2,2
I haven't a clue which country has only these denominations of coin.