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8.0

Milk/Water puzzle

Asked by InteractiveMind in Math & Science

Tags: water, puzzle, milk

There are two glasses, one containing a liter of milk, the other a liter of water. Take one tablespoon of milk and mix it with the water. Now take one tablespoon of the water/milk mixture and mix it in with the pure milk to obtain a milk/water mixture. Is there more water in the milk/water mixture or more milk in the water/milk mixture?

THE ANSWER (AND MY QUESTION) IS BELOW
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ANSWER: There is as much water in the milk/water mixture as milk in the water/milk mixture.

MY QUESTION: Why?!

I considered letting W mean 1 liter of water; M mean 1 liter of milk; and T mean 1 tablespoon.

So the composition within the water/milk solution will be:

W + TM - T(W+TM)

And the composition within the milk/water solution will be:

M - TM + T(W+TM)

So the amount of milk in the water/milk solution will be: TM - T²M
And the amount of water in the milk/water solution: TW

So from this, I justify that there would be more water in the milk/water solution than otherwise... But why am I wrong?

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Milk/Water puzzle

Asked by InteractiveMind in Math & Science

Tags: water, puzzle, milk

About this solution