All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Just Keep the Change (Posted on 2003-06-15)
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?

 Submitted by DJ Rating: 4.1818 (11 votes) Solution: (Hide) 2¢ and 5¢ To make 13¢ and odd number, you need an odd number of odd coins. One 5¢ piece accomplishes this, and four two-cent pieces are needed to make up the other eight cents. To make 14¢, however, you can use two five-cent pieces for ten cents, and two two pence to make fourteen. Also, these must be the only two denominations of coin worth less than fifteen cents. Any coin with an odd value would mean requiring fewer steps to make 13; any coin with an odd value would require fewer steps to make fourteen. So, the complete set of coins in this country, worth less than 15¢, are 2¢ and 5¢. As to the bonus, the country is one I made up. It's called Deejopia, and coins come in values of 2¢, 5¢, 20¢, and 35¢. Actually, I just didn't want to lack an answer. I don't know of any [real] country in which the only coins worth less than 15¢ are two- and five-cent pieces. Sorry to be misleading, but it seemed a fun question to ask, at least.

 Subject Author Date Alternate solution and thoughts Jer 2016-03-24 13:38:53 Solution Math Man 2014-07-12 11:32:24 Without a country... Dej Mar 2012-04-25 04:15:31 re(3): Country TomM 2003-06-16 19:50:28 re: Maybe... TomM 2003-06-16 18:12:58 Maybe... Pickels 2003-06-16 16:05:34 re(3): Country Trevor Leitch 2003-06-16 12:45:35 re(2): Country Jonny Doe 2003-06-16 10:19:32 re: Country fwaff 2003-06-16 03:40:53 Country Jonny Doe 2003-06-16 03:35:45 Solution Trevor Leitch 2003-06-15 09:59:11 re: One Possibility DJ 2003-06-15 07:03:32 One Possibility Charlie 2003-06-15 05:42:52

 Search: Search body:
Forums (0)