The question was:
Did Brother Benjamin take more
wine from the
than water from the jug?
Or did he take more water from the jug than
from the bottle?
He did neither.
The same quantity of wine was
transferred from the bottle as water was taken from the jug.
assume that the glass would hold a quarter of a pint.
There was a pint
wine in the bottle and a pint of water in the jug.
After the first
manipulation the bottle contains three-quarters of a pint of wine, and
the jug one pint of water mixed with a quarter of a pint of
the second transaction consists in taking away a fifth of the contents
the jug—that is, one-fifth of a pint of water mixed with
one-fifth of a
quarter of a pint of wine.
We thus leave behind in the jug four-fifths
a quarter of a pint of wine—that is, one-fifth of a
transfer from the jug to the bottle an equal quantity (one-fifth of a
pint) of water.