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Best Answer Prime, 31 March 2013 - 05:41 AM

This way it's more interesting. I understand, one person has 4 times the money of his neighbor at the end of the game.

 

Spoiler for I'd take the last spot still

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8 replies to this topic

#1 BMAD

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Posted 31 March 2013 - 12:32 AM

Some card players sat in a circle, so that each had two neighbors, and each had a certain number of dollars. The 1st player had $1 more than the 2nd player, who had $1 more than the third, and so on. The first player gave $1 to the second, who gave $2 to the third, and so on, each giving $1 more than they received, around and around the table as long as possible. There were then 2 neighbors, one having 4 times as much money as the other.

(a) How many players were there?

(b) How much money did the first player start with?


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#2 Sairakan

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Posted 31 March 2013 - 01:50 AM

Spoiler for don't know if there are other solutions

 

Edit: When you say, "as long as possible," what exactly does that entail? That may change the solution.


Edited by Sairakan, 31 March 2013 - 01:51 AM.

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#3 BMAD

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Posted 31 March 2013 - 02:00 AM

Spoiler for don't know if there are other solutions

 

Edit: When you say, "as long as possible," what exactly does that entail? That may change the solution.

There are more than 2 people.  The phrase as long as possible means that each person passed until the last person received money.


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#4 Sairakan

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Posted 31 March 2013 - 02:28 AM

Spoiler for In that case


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#5 Prime

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Posted 31 March 2013 - 03:32 AM

Spoiler for don't know if there are other solutions

 

Edit: When you say, "as long as possible," what exactly does that entail? That may change the solution.

There are more than 2 people.  The phrase as long as possible means that each person passed until the last person received money.

If the "last" person does not pass money to the "first", why do they sit in a circle and not in row?

Spoiler for I pick the last spot, please

Edited by Prime, 31 March 2013 - 03:35 AM.

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Past prime, actually.


#6 BMAD

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Posted 31 March 2013 - 04:02 AM

 

Spoiler for don't know if there are other solutions

 

Edit: When you say, "as long as possible," what exactly does that entail? That may change the solution.

There are more than 2 people.  The phrase as long as possible means that each person passed until the last person received money.

If the "last" person does not pass money to the "first", why do they sit in a circle and not in row?

Spoiler for I pick the last spot, please

my clarification was poorly worded.  I apologize.  What i meant by the last person that receives money was not meant to imply a last person in a sequence.  It was meant until the last person receives money and the 'rule' for passing can't be continued.


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#7 Prime

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Posted 31 March 2013 - 05:41 AM   Best Answer

This way it's more interesting. I understand, one person has 4 times the money of his neighbor at the end of the game.

 

Spoiler for I'd take the last spot still


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Past prime, actually.


#8 dark_magician_92

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Posted 31 March 2013 - 10:34 AM

Spoiler for I got


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#9 dark_magician_92

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Posted 31 March 2013 - 10:35 AM

Though Prime has already solved it.


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