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?
Answers
Given : A man is the owner of a winery who recently passed away . 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.
To find : how to split he wine and barrels 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
Solution:
7 full
7 half
7 Empty
total Available = 7 * 1 + 7/2 + 7 * 0 = 21/2
Each one will get = (21/2)/3 = 7/2
7/2 can be achieved using
3 full & 1 half & 3 empty
=> we need in total 9 full , 3 Half , 9 empty
we will use 4 Half to fill 2 empty
then half will reduced to 7 - 4 = 3
empty will be 7 - 2 + 4 = 9
Full will be = 7 + 2 = 9
So using 4 Half , we will fill two empties
to share 3 Full , 1 Half & 3 Empty with each son
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