
Nestor R. answered 03/07/20
Mathematically-oriented professional with many years of experience
The eldest sister got $ 9/11 of the total money.
The next sister received 7/12 of the remaining money, or 7/12 * 2/11 = $ 14/132.
Before determining what the third sister got, note that $ 9/11 = $ 108/132.
The first 2 sisters got a total of $ (108 + 14) / 132 = $122 /132.
Therefore, the youngest sister got $ (132 - 122)/132 = $ 10 / 132 of the original money.