Re: puzzles -- Unofficial Chris Cornell Forum

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Date Posted: 16:31:04 04/06/06 Thu
Author: 23
Subject: Re: puzzles
In reply to: light 's message, "puzzles" on 13:31:24 04/06/06 Thu

Then explain it to me, because I can't figure it out any other way.

I basically did the math and worked the proportions and that's how I came up with my result.

How did you figure it out differently?

Especially in light of the water/wine iteration. The water and the wine would definitely mix perfectly since we're dealing with molecules, not marbles.

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[> Re: puzzles -- lighty, 06:09:21 04/07/06 Fri [1]

Two hundred green marbles are in a green jar, and 200 red marbles are in a red jar. Thirty marbles are removed from the green jar and put into the red jar, which is then shaken and stirred. Thirty marbles are then scooped from that mixture and put back into the green jar. Which jar has more of the wrong color marbles?

Most people (if they're not going off on a mathematical red herring) will pick the red jar as having more of the wrong color marbles. The logic seeming that when you take a bunch of marbles from the green jar and put them into the red, there has to be more wrong colored (in this case green) marbles in that jar (red), than in the green jar after you transfer the same number of marbles back into that one-- seeing that when you transfer back there will be a mix of green (right color) and red (wrong color) going into the green jar, instead of all the wrong color like in the original scoop (all green into red).

I think what throws people (like me) off, is that they're only thinking about the amount of colors (right or wrong) that are added to the jars, and fail to factor in the marbles that are subtracted from the jars with each scoop. In other words, we're thinking about the thirty green marbles put in the red jar from the green, then the mixed colors being put into the green one from the red, without considering what each jar is missing with the scoops. No matter what colors were transferred, each jar will be missing the same numbers of the right color as the other jar will be getting of wrong color. And the right colors they are missing will have to have been replaced by the wrong ones.

------
step I-- green jar 200g(-)30. or 170g
red jar now has 230 marbles-- 200r, 30g.

step II-- red jar(-)30 of the r,g mix, brings it to 200 mixed; green jar(+)30 of the r,g mix, is now 200 mixed.

no matter how many of each color is transferred with the scoop each jar will have the same amount of wrong colored marbles.

(how well the marbles were mixed, or whether the marble colors in the scoop are in the same proportion as those in the scooped jar are not factors).

examples of step II:

Of the 30 taken from the (now mixed) red jar, 5 are green and 25 are red, and they are put into the green jar.

so the red jar will have 25 green marbles (out of the 30 first put in) 175 red (the original 200 minus 25)-- or 25 wrong colored marbles.

the green jar will have 25 red marbles and 5 green ones just transferred in, added to 170 green marbles remaining from the first scoop. And that's 25 wrong colored marbles too.
----

Of the 30 taken from the shaken, stirred red jar 11 marbles are green and 19 are red. They are put into the green jar.

so the red jar will have 19 green marbles (the 30 first put in minus 11) and 181 red ones (the original 200 minus 19). That's 19 wrong colored marbles.

the green jar will have 19 red marbles from the scoop, plus the 11 green ones, added on to the 170 other greens that were left in from the first scoop, making it 181 green. So it also has 19 wrong colored ones.
------

Try it, you... you... skeptics!

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