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Please pass the salt


Best Answer BMAD, 28 February 2013 - 09:41 PM

Spoiler for with help of a bit of trigonometry
Spoiler for second possible answer

 was just taught how to mark two best answers!

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#1 BMAD

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Posted 28 February 2013 - 07:09 AM

I am sitting at a large table for a family reunion.  The table carefully places me and my 8 cousins around the table.  Given that we like to eat, the host made sure that everyone was placed equidistant from the person to their left and their right.  Starting at me and going clockwise there was Eric, Donald, Chris, Becky, Amber, Isaac, Huey, and George.  As soon as the food is delivered, Amber asked me to slide her the salt.  After she finished with the salt, she passed the salt to Chris and handed pepper to Becky.  Prove that the salt traveling from me to Amber is equivalent in distance to the trip the salt and pepper traveled from Amber to Chris and Becky, respectively.


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#2 MuckersMate

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Posted 28 February 2013 - 09:42 AM

Assumptions

 

1. Author had the salt to start with, with Amber sitting on the opposite side of the table.

2. Amber had the pepper to start with.

3. Amber handed the pepper directly to Chris, bypassing Becky

 

Therefore, Salt from Author to Amber = 2 units. (He had to 'slide' it to her because she was too far away to pass it directly).

 

Salt from Amber to Chris = 1 unit (passed directly)

Pepper from Amber to Becky = 1 unit.

 

Therefore

 

2 = 2????


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#3 nakulendu

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Posted 28 February 2013 - 10:04 AM

Spoiler for with help of a bit of trigonometry

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#4 tammie

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Posted 28 February 2013 - 04:31 PM

the table is an equalateral triangle. draw it out with 6 inches on each side. each person sits 2 inches apart. start at the top point with huey then going clockwise every 2 inches.it would be george, the writer, eric(at the right point), donald, chris, becky(at the left point), amber and isaac to the left of the top point(huey). now draw a line from the writer to amber the distance is 4 inches. draw a line from amber to chris distance 2 inches, and finally a line from amber to becky is another 2 inches. 2+2=4. yay!


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#5 k-man

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Posted 28 February 2013 - 05:35 PM

Nice "out of the box" solution, tammie. Good thinking!

 

Spoiler for proof for the round table


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#6 BMAD

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Posted 28 February 2013 - 06:18 PM

I wish there was a way to designate two correct answers given that i had two people answer in completely different but perfectly logical ways.

 

Spoiler for hiding tammie's answer

Edited by BMAD, 28 February 2013 - 06:19 PM.

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#7 BMAD

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Posted 28 February 2013 - 09:41 PM   Best Answer

Spoiler for with help of a bit of trigonometry
Spoiler for second possible answer

 was just taught how to mark two best answers!


Edited by BMAD, 28 February 2013 - 09:43 PM.

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