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Puzzle Details

I fill a glass half full of juice and another glass twice the size, one-third full of juice.

Then I top up each glass with water and empty the contents of both glasses into a tumbler.

Now, how much of the mixture is juice and how much water?

[Ref: ZYKS]

Answer: Juice = 7/18 and water = 11/18.

As we're talking about halves and thirds, it's easiest to break down the glasses into anything that is divisible by 2 and 3, such as 6 units for the size of the smaller glass, the larger glass is therefore 12 units.

The first glass (size 6) contains 3 units of juice and 3 units of water.

The second glass (size 12) contains 4 units of juice and 8 units of water.

Once combined the tumbler (size 18) will therefore contain 7 units of juice and 11 units of water.

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