SOLUTION: I need your help thanks: here is the question: Ebenezer's will " I Ebenezer Geezer, being of sound mind but failing body, having fought off Death four times before but being

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Question 909366: I need your help thanks: here is the question:
Ebenezer's will
" I Ebenezer Geezer, being of sound mind but failing body, having fought off Death four times before but being deadly ill yet again, do hereby bequeath various fractions of my considerable fortune to the friends, relations, associated, parasites and vultures now gathered at my deathbed; and I do so in these proportions:
One part in three goes to my infant grand-daughter, who barely knows me and therefore has not disappointed me yet;
One part in four goes to Fido, my best friend, so that he may live out his declining dog years in the manner to which he has become accustomed;
One part in nine goes to my lawyer, for reasons best unexplained;
one part in thirteen goes to my dear, dear wife (see above);
one part in seventy-seven goes to my long-suffering daughter;
one part in one hundred and forty-eight goes to Vivienne, my very personal secretary, for learning how to type;
One part in one hundred and eighty goes to Dr. Viagra, for invaluable bio-technical assistance;
One part in five hundred and forty-six goes to my lazy, incompetent business partner;
One part in six hundred and sixty-six goes towards the upkeep of my parrot;
and the remaining dollar goes to purchase, for my worthless son-in law, the gambler, a single lottery ticket."
How much did Geezer bequeath in total, and how much did each vulture get?

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x-x/3-x/4-x/5-x/9-x/13-x/77-x/148-x/180-x/546-x/666-1=0
x = 6666660
6666660-6666660/3-6666660/4-6666660/5-6666660/9-6666660/13-6666660/77-6666660/148-6666660/180-6666660/546-6666660/666-1=0

One part in three grand-daughter 2222220
One part in four Fido 1666665
one part in five my son 1333332
One part in nine my lawyer 740740
one part in thirteen my wife 512820
one part in seventy-seven daughter; 86580
one part in one hundred and forty-eight Vivienne 45045
One part in one hundred and eighty g Dr. Viagra 37037
One part in five hundred and forty-six business partner;12210
One part in six hundred and sixty-six my parrot;10010
the remaining dollar son-in law 1