SOLUTION: Mike left 1/2 of his property to his wife, 1/3 of the remainder to his eldest son, and the rest to be equally divided among 5 younger children, each of them got $80,000. How much d

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Mike left 1/2 of his property to his wife, 1/3 of the remainder to his eldest son, and the rest to be equally divided among 5 younger children, each of them got $80,000. How much d      Log On

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Question 1086894: Mike left 1/2 of his property to his wife, 1/3 of the remainder to his eldest son, and the rest to be equally divided among 5 younger children, each of them got $80,000. How much did his wife get?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F2%29%2B%281%2F3%29%2BY=1
Y=6%2F6-3%2F6-2%2F6
Y=1%2F6
So then each of the five got,
5Y=1%2F6
Y=1%2F30
Each of the five got 1%2F30th of the property.
%281%2F30%29P=80000
P=+2400000
So the wife got,
%281%2F2%29P=1200000