SOLUTION: The will of an eccentric millionaire reads as follows: "I leave 4/17 of my estate to my son, 7/13 of the remainder to my wife, 2/3 of this remainder to my daughter, and the remaini
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Question 250092: The will of an eccentric millionaire reads as follows: "I leave 4/17 of my estate to my son, 7/13 of the remainder to my wife, 2/3 of this remainder to my daughter, and the remaining $2 million to my dog." What was the total amount of the estate?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
w=a+b+c+2 000 000
a=4w/17
b=7/13*(17w/17-4w/17)=7/13*13w/17=7w/17
c=2/3(w-4w/17-7w/17)=2/3*(w-11w/17)=2/3*6w/17=4w/17
w=4w/17+7w/17+4w/17+2,000,000
w=15w/17+2 000 000
2w/17=2 000 000
2w=34 000 000
w=$17,000,000
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