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Ten Balls & Balance
 

offline Sempoo from Barlinek (Pluto) on 2004-01-13 16:27 [#01031761]
Points: 621 Status: Regular



You have 10 balls of the same weight. One of them is of
DIFFERENT weight. Also you have a balance [pair of scales].
You can use it ONLY 3 times to find that ball.

Good luck!


 

offline DaWeeze from WANTED IN 16 STATES! on 2004-01-13 17:54 [#01031962]
Points: 5213 Status: Addict | Followup to Sempoo: #01031761



You have 10 balls of the same weight. One of them is of
DIFFERENT weight.


Wait. I thought you said they were all the SAME weight, but
one of them is a DIFFERENT weight?

YOUR NEW MATHEMATICS FRIGHTEN AND CONFUSE ME!!!

:x


 

offline thecurbcreeper from United States on 2004-01-13 18:09 [#01031981]
Points: 6045 Status: Lurker



if you are talking about 10 of the same shape and size but
one has a different weight then you:

1) put 5 one side and 5 on the other then discard the 5
balls on the side that is higher on the scale.

2) put 2 and 2 from the remaining 5 on each side and
then.....

either they are even and the one ball you left off is your
winner or.....

3) take the 2 who were lower and the scale, seperate them
and which ever is heaver once being weighed for the third
time is heaver.


 

offline hedphukkerr from mathbotton (United States) on 2004-01-13 18:12 [#01031987]
Points: 8833 Status: Regular



ive tried to figure this one out, but ur wrong there
creeper, because thats assuming that the odd ball out is
lighter than the other balls. if its heavier, youre
discarding it right from the get go.


 

offline thecurbcreeper from United States on 2004-01-13 18:15 [#01031993]
Points: 6045 Status: Lurker



actually i was assuming that the odd ball out was heaver.
the terminology can get confusing though because i was
referring to higher as the height of the scale, not the
measure of weight. well either way, do it accordingly to
what would make more sense.


 

offline virginpusher from County Clare on 2004-01-13 18:16 [#01031998]
Points: 27325 Status: Lurker



there is no answer

that contradicted it self


 

offline Sempoo from Barlinek (Pluto) on 2004-01-13 18:34 [#01032020]
Points: 621 Status: Regular | Followup to DaWeeze: #01031962



[little mistake: 9 of same weight except 1 which is of
different...]


 

offline Sempoo from Barlinek (Pluto) on 2004-01-13 18:35 [#01032025]
Points: 621 Status: Regular | Followup to hedphukkerr: #01031987



hedphukerr maybe you are wrong phukerrhed ;)


 

offline Sempoo from Barlinek (Pluto) on 2004-01-13 18:36 [#01032026]
Points: 621 Status: Regular | Followup to virginpusher: #01031998



There is! Different weight!


 

offline thecurbcreeper from United States on 2004-01-13 19:05 [#01032063]
Points: 6045 Status: Lurker | Followup to Sempoo: #01032026



heavier or lighter? or you can't tell?


 

offline Sempoo from Barlinek (Pluto) on 2004-01-13 19:07 [#01032069]
Points: 621 Status: Regular | Followup to thecurbcreeper: #01032063



You have to find out.


 

offline thecurbcreeper from United States on 2004-01-13 19:15 [#01032081]
Points: 6045 Status: Lurker



you seperate them into groups of 3

(1)weigh 2 groups against each other. if they stay the same,
you discard those two and work with the remaining group of
3. then (2) take 2 balls out of the remaining group and
weight them against each other. if they are the same then
the 3rd ball is the winner. if not then (3) exchange one of
the balls on the scale for the remaining ball. if the scale
does the same thing as last time then the ball left on the
scale is the winner, if it is even then the ball taken off
is the winner.

this is the only way i could think of it using the scale 3
times. the other way would involve the same 3 times but with
one step before it all


 

offline thecurbcreeper from United States on 2004-01-13 19:19 [#01032083]
Points: 6045 Status: Lurker



wait now i'm just confused. is it 9 of the same weight and
one of a completely different weight?

oh who cares.


 

offline thecurbcreeper from United States on 2004-01-13 19:23 [#01032086]
Points: 6045 Status: Lurker



ok it's what my last post said and the only way to explain
this is to label each ball which would take way too long


 

offline JivverDicker from my house on 2004-01-13 19:32 [#01032092]
Points: 12102 Status: Regular



Make up two groups of three and one of two out of the eight
balls. Weigh the two groups of three against each other. If
one is lighter it holds the lighter ball.

Take these three balls and weigh one against an other. If
one is lighter it is the faulty ball. If they weigh the same
the ball left aside is the lighter ball.

If when you weigh the two groups of three they weigh the
same then the faulty ball is in the group of two. Weigh
these two balls against each other and the lighter one is
faulty.


 

offline Gwely Mernans from 23rd century entertainment (Canada) on 2004-01-13 19:36 [#01032095]
Points: 9856 Status: Lurker



fuck, submit this to the next myst game


 

offline Sempoo from Barlinek (Pluto) on 2004-01-15 10:14 [#01034650]
Points: 621 Status: Regular | Followup to JivverDicker: #01032092



"Make up two groups of three and one of two out of the eight

balls. Weigh the two groups of three against each other. If

one is lighter..."
How do you know it?



 

offline Sempoo from Barlinek (Pluto) on 2004-01-15 10:16 [#01034652]
Points: 621 Status: Regular | Followup to thecurbcreeper: #01032081



"you seperate them into groups of 3
(1)weigh 2 groups against each other. if they stay the same,

you discard those two and work with the remaining group of
3..."
And if they don't?


 


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