[Guest]

A man is the owner of a winery who recently passed away. In his will, he left 21 barrels (seven of which are filled with wine, seven of which are half full, and seven of which are empty) to his three sons. However, the wine and barrels must be split so that each son has the same number of full barrels, the same number of half-full barrels, and the same number of empty barrels. Note that there are no measuring devices handy. How can the barrels and wine be evenly divided?

[Guest]

A man is the owner of a winery who recently passed away. In his will, he left 21 barrels (seven of which are filled with wine, seven of which are half full, and seven of which are empty) to his three sons. However, the wine and barrels must be split so that each son has the same number of full barrels, the same number of half-full barrels, and the same number of empty barrels. Note that there are no measuring devices handy. How can the barrels and wine be evenly divided?

Is it sufficient for each son to have the same number of barrels and the same amount of wine, but not necessarily the same distribution of wine in the barrels?

There are 7*1.5 = 10.5 barrel volumes of wine

each son must get 10.5/3 = 3.5 barrel volumes of wine as well as 7 barrels.

Let F denote a full barrel, H denote a half full barrel, and E denote an empty barrel.

Here is what each should receive

Son 1: FFFHEEE

Son 2: FFFHEEE

Son 3: FHHHHHE

In this way each son receives the same total amount of wine and the same total number of barrels.

[Guest]

Is it sufficient for each son to have the same number of barrels and the same amount of wine, but not necessarily the same distribution of wine in the barrels?

There are 7*1.5 = 10.5 barrel volumes of wine

each son must get 10.5/3 = 3.5 barrel volumes of wine as well as 7 barrels.

Let F denote a full barrel, H denote a half full barrel, and E denote an empty barrel.

Here is what each should receive

Son 1: FFFHEEE

Son 2: FFFHEEE

Son 3: FHHHHHE

In this way each son receives the same total amount of wine and the same total number of barrels.

But the puzzle says each son should receive same number of full, half and empty barrels

[Guest]

But the puzzle says each son should receive same number of full, half and empty barrels

Ok, then how about this

Son 1: FFHHEE

Son 2: FFHHEE

Son 3: FFHHEE

Trusted Butler: FHE

[Guest]

Two half-full barrels are dumped into one of the empty barrels. Two more half-full barrels are dumped into another one of the empty barrels. This results in nine full barrels, three half-full barrels, and nine empty barrels. Each son gets three full barrels, one half-full barrel, and three empty barrels.

[Guest]

Get 4 of the half barrels and dump them into 2 of the empty ones so you'd have 9 full, 3 half and 9 empty which can be divided easily...

man I'm always late for these riddles...

[Glycereine]

Good riddle Sak_Iko but give people a little more time before you post the answer. It's no fun if after a couple people guess the answer is displayed.

[Guest]

Pour 2 half barrels into 2 other half barrels to make 2 full barrels and 2 empty barrels. Now we have 9 full barrels, 3, half barrels, and 9 empty barrels that will divide evenly.

[Guest]

Good riddle Sak_Iko but give people a little more time before you post the answer. It's no fun if after a couple people guess the answer is displayed.

thanks and sure Glycereine.. I'll keep that in mind