This question has been bugging me for a day and finally I gave up and decided to ask the community for it so here's how it goes:
Suppose we have 3 bottles with capacities of $16,6$ and $3$ liters, all of which are full of water currently.
In what way can we move the water from a bottle to another one (spilling is also an option) that only $11$ liters of water remain in the $16$-liter bottle?
EDIT:Thanks for your comments and now I believe you may have misinterpreted my question and therefore I think I'll unmark the answer for now(which I realized was not true after a while).
EDIT2:I forgot to mention the following conditions but they pretty much could be interpreted from the question iteself:
- We cannot measure a bottle half-way.
- The only scales we have are only these 3 bottles (This one is more like an emphasize on the first condition but anyway I needed to add it)
- There's no reservoir where we can keep the spilled water.
- There are no other water resources from which we can add water.
and finally I need to point out the fact that the question may or may NOT have an answer so it's more like a "prove or disprove" kind of question.
EDIT3:Multiple transfers are allowed (Thanks to @David for pointing it out)
Thanks for your help in advance.