### Brain Teasers

# Water in Jugs

You have three jugs:

A 10-liter jug, filled with water

A 7-liter jug, empty

A 3-liter jug, empty

Your objective is to end up having 5 liters of water in the 10-liter jug, and 5 liters of water in the 7-liter jug.

Note that you have nothing else at your disposal other than these three jugs and that you cannot perform measurements by eye or based on the shape of the jugs.

A 10-liter jug, filled with water

A 7-liter jug, empty

A 3-liter jug, empty

Your objective is to end up having 5 liters of water in the 10-liter jug, and 5 liters of water in the 7-liter jug.

Note that you have nothing else at your disposal other than these three jugs and that you cannot perform measurements by eye or based on the shape of the jugs.

### Answer

It is not that difficult. Let us label the 10-liter jug as X, the 7-liters jug as Y, and the 3-liters jug as Z. Here are the steps:1.Pour Jug X into Jug Z.

2.Pour Jug Z into Jug Y.

3.Pour Jug X into Jug Z.

4.Pour Jug Z into Jug Y.

5.Pour Jug X into Jug Z.

Now you have 1 liter of water in the 10-liter Jug (X), 6 liters of water in the 7-liters jug (Y), and 3 liters of water in the 3-liters jug (Z). Now pour water from jug Z into jug Y, until jug Y becomes full. You will now have 1 liter of water in X, 7 liters in Y, and 2 liters in Z. Then perform the following steps:

1.Pour Jug Y into Jug X.

2.Pour Jug Z into Jug Y.

3.Pour Jug X into Jug Z.

4.Pour Jug Z into Jug Y.

At this point, you will have 5 liters of water in X and 5 liters in Y just as desired.

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