SOLUTION: The will of an eccentric millionaire reads as follows: "In the following order, i leave 4/17 of my estate to my son, then 7/13 of the remainder to my wife, then 2/3 of the remainde
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Question 306783: The will of an eccentric millionaire reads as follows: "In the following order, i leave 4/17 of my estate to my son, then 7/13 of the remainder to my wife, then 2/3 of the remainder to my daughter, and the remaining $2 million to my dog." What was the total amount of the millionaire's estate?
You can put this solution on YOUR website! The will of an eccentric millionaire reads as follows:
"In the following order, i leave 4/17 of my estate to my son, then 7/13 of the remainder to my wife,
then 2/3 of the remainder to my daughter, and the remaining $2 million to my dog.
" What was the total amount of the millionaire's estate?
:
Let t = amt in the estate (in millions of dollars)
:
Son = t
then
remainder = t
:
wife = * t
wife = t
then
remainder = t
:
daughter = * t
daughter = t
:
t = t + t + t + 2
common denominator: 663
t = t + t + t + 2
:
t = t + 2
:
t - t = 2
: t = 2
:
t = 2()
t = 12.75 million dollars