Question

Challenge ❤️


I have two glasses the same size. One contains 100 ml of lemonade and the other contains 100 ml of ink. I take a spoonful of lemonade and stir it into the ink, and then take a spoonful of that mixture and stir it back into the lemonade. Which glass now contains least of the contents of the other one? ​

Answer 1

$\huge{\mathfrak{\underline{Solution :}}}$

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The actual answer was that BOTH glasses contain the same amount of the other liquid in them. 

Each glass ends up with 100ml of liquid in it, as before, but the first glass (lemonade) has some of the lemonade replaced by ink, and this bit of lemonade can be found in the second glass (ink) where it is replacing the same amount of ink. 

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Answer 2

Let us name the glass containing 100 ml of lemonade A and the glass containing 100 ml of ink B .

Now suppose we take x ml of lemonade .

Then the mixture in A becomes 100 ml - x ml .

We stir into the ink .

Then the mixture B becomes 100 ml + x ml .

We take a spoonful of that same quantity of the mixture .

So we are basically taking x ml .

The mixture in B = 100 ml + x ml - x ml = 100 ml .

The mixture in A = 100 ml - x ml + x ml = 100 ml .

Hence both will have the same quanitity .

NOTE :-

Although both A and b will have the same quantity , they will have different composition and not that original same composition .