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Title: GAME, DOLLARS AND TURNS AROUND THE TABLES ... Post by coolnfundu on Oct 27th, 2004, 12:02am A group of seven young tranvestites A, B, C, D, E, F, G were recently engaged in a game. They agreed that the player who wins the game would give all others double the money that they already had. In all they played 7 games and strangely each game was won by different people and rpecisely in the order listed above. Finally, the seventh young man had Dollar 32 in his pocket. Can you find out how much money each of them had with them at the start of the game? |
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Title: Re: GAME, DOLLARS AND TURNS AROUND THE TABLES ... Post by Barukh on Oct 27th, 2004, 4:45am [smiley=blacksquare.gif][hide] The easiest way is to pretend that money distribution doesn't change between games, it's just shifted by one person. This gives the answer 32 times 36, ..., 32. Of course, it doesn't prove that that's the only solution. [/hide][smiley=blacksquare.gif] |
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Title: Re: GAME, DOLLARS AND TURNS AROUND THE TABLES ... Post by coolnfundu on Oct 27th, 2004, 8:08am im not so sure if that solves it .. would you like to explicitly show it ... |
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Title: Re: GAME, DOLLARS AND TURNS AROUND THE TABLES ... Post by Barukh on Oct 27th, 2004, 11:35am + on 10/27/04 at 08:08:29, coolnfundu wrote:
I assumed that your “Dollar 32” is $32. Please correct accordingly if I am wrong. [smiley=square.gif][hide] Assume that the friends had at the beginning 729, 243, 81, 27, 9, 3, 1 – from A to G. Now, if A won, he tripled the money of his friends, and left just $1 for himself. So, after the first round the friends had 1, 729, 243, 81, 27, 9, 3 dollars in their pockets, that is the same distribution if B plays the role of A, C – of B etc. After the 7-th round, they will come to their original distribution, where G had $1. because in the problem he had $32, we must multiple everything by 32, as I did. [/hide][smiley=square.gif] Hope this helps. |
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Title: Re: GAME, DOLLARS AND TURNS AROUND THE TABLES ... Post by coolnfundu on Oct 31st, 2004, 4:19am yes it is if 1 dollar has 100 cents ... anyways, the answer is wrong ... think of the money last person had in each game ... I think solution lies there ... |
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Title: Re: GAME, DOLLARS AND TURNS AROUND THE TABLES ... Post by Barukh on Oct 31st, 2004, 5:36am on 10/31/04 at 04:19:39, coolnfundu wrote:
?? Please, be less cryptic: what's "Dollar 32"? Quote:
Why? |
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Title: Re: GAME, DOLLARS AND TURNS AROUND THE TABLES ... Post by THUDandBLUNDER on Oct 31st, 2004, 6:04am on 10/31/04 at 04:19:39, coolnfundu wrote:
'Cos transvestites don't have pockets?? ::) |
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Title: Re: GAME, DOLLARS AND TURNS AROUND THE TABLES ... Post by coolnfundu on Oct 31st, 2004, 8:32pm dollar can be considered any currency which has 100 further lower denominations ... such that 100 (say cents) = 1 dollar or dinar or pisa or whatever .... I hope that helps ... |
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Title: Re: GAME, DOLLARS AND TURNS AROUND THE TABLES ... Post by THUDandBLUNDER on Oct 31st, 2004, 10:52pm Does 'Dollar 32' = $1.32? |
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Title: Re: GAME, DOLLARS AND TURNS AROUND THE TABLES ... Post by coolnfundu on Nov 5th, 2004, 11:13pm ok ok ... 32 dollars means 3200 cents ... if that helps ... now say there are m players and the amount of money was n with them in total ... nah I am gonna solve it later .. |
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Title: Re: GAME, DOLLARS AND TURNS AROUND THE TABLES ... Post by coolnfundu on Nov 7th, 2004, 7:54am So, lets say there are n number of players and the amount held by every player at the end will be say m(2n) and the last winner must have obviously held then m.(n+1) and the next, m.(2n+1) and the next (4n+1) and so on ... So the first player must have won ... (2n-1)*(n+1) So if we put n=7, we get, G = 2 F=3.75 E = 7.25 D = 14.25 C = 28.25 B = 56.25 A = 112.25 If the game started from G that is .... |
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Title: Re: GAME, DOLLARS AND TURNS AROUND THE TABLES ... Post by Barukh on Nov 7th, 2004, 11:58pm I am sorry, coolnfundu, but your solution is no less cryptic than the problem statement itself (I wish I were the only one claiming that). Could you please explain it better? Besides, please show how it satisfies the following condition: on 10/27/04 at 00:02:57, coolnfundu wrote:
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Title: Re: GAME, DOLLARS AND TURNS AROUND THE TABLES ... Post by THUDandBLUNDER on Nov 8th, 2004, 3:45am on 10/27/04 at 00:02:57, coolnfundu wrote:
Why transvestites? (Do they include Ben Dover and Tanya Hyde?) Why young? Why a group? Are you a subversive? :-/ |
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Title: Re: GAME, DOLLARS AND TURNS AROUND THE TABLES ... Post by coolnfundu on Nov 9th, 2004, 1:53am on 11/07/04 at 23:58:40, Barukh wrote:
humn start from G with A winning the game and so on ... |
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Title: Re: GAME, DOLLARS AND TURNS AROUND THE TABLES ... Post by Barukh on Nov 9th, 2004, 8:52am Help!!!!!! :o :o :o |
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Title: Re: GAME, DOLLARS AND TURNS AROUND THE TABLES ... Post by coolnfundu on Nov 9th, 2004, 11:36pm details tomorrow with lots of typo ::) |
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