SOLUTION: A man left one-fourth of his estate to his wife, one-fifth to each of his two sons, one-eight to his daughter and the remainder, an amount of $3,600 to charity. Find the amount of

Question 1181226: A man left one-fourth of his estate to his wife, one-fifth to each of his two sons, one-eight to his daughter and the remainder, an amount of $3,600 to charity. Find the amount of estate.
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.
A man left one-fourth of his estate to his wife, one-fifth to each of his two sons,
one-eight to his daughter and the remainder, an amount of $3,600 to charity.
Find the amount of estate.
~~~~~~~~~~~~~

Let x be the amount of estate.


Then you write equation as you read the text


     +  +  + 3600 = x.


To solve it, mutiply all the terms by 40 to ride off the denominators.


    10x + 16x + 5x + 3600*40 = 40x

    144000 = 40x - 10x - 16x - 5x

    144000 = 9x

    x      = 144000/9 = 16000.


ANSWER.  The amount of estate was  16000  monetary units.

Solved and carefully explained.

//////////////

        A key step in solving such problems is
        to write an equation as you read the text.

        MEMORIZE and USE this rule (!)

        It is the engine which moves the entire solution.

RELATED QUESTIONS
A man left one fourth of his estate to his wife, One-fifth to each of his two sons,... (answered by richwmiller)

A man left one-fourth of his estate to his wife, one-fifth to each of his two sons,... (answered by Abbey)

Upon his death, Mr. Haller left one-half of his estate to his wife, one-ninth of his... (answered by Earlsdon,WannabeCAgirl83,bonster)

Upon his death, Mr. Haller left one-half of his estate to his wife, one-ninth of his... (answered by Earlsdon)

A man makes out his will, stating that if his wife gives birth to a boy, his estate is to (answered by ankor@dixie-net.com)

Al-Kwarizmi's will was drawn up when he was near death, and his wife was expecting their... (answered by Theo)

A man died and left his estate of 125,000 to his wife, his daughter, and his son. If the... (answered by Cromlix)

A man give equal shares of one-fourth of his property to his daughter and son and the... (answered by josmiceli)

please help me solve this : a man left an amount of $525,000 to be divided among his... (answered by josmiceli)

SOLUTION: A man left one-fourth of his estate to his wife, one-fifth to each of his two sons, one-eight to his daughter and the remainder, an amount of $3,600 to charity. Find the amount of

A key step in solving such problems is to write an equation as you read the text. MEMORIZE and USE this rule (!) It is the engine which moves the entire solution.

A key step in solving such problems is
to write an equation as you read the text.

MEMORIZE and USE this rule (!)

It is the engine which moves the entire solution.