Question 120230: when Mr. Johnson died,his estate was divided according to his last will and testament. His wife recieved 1/2 of his estate. His son recieved 1/4, his niece recieved 1/5 and the remainder was divided equally among his 3 favorite charities. If each charity recieved $3400, what was the total value of the estate?
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website! Not counting the charities, he gave away 1/2 plus 1/4 plus 1/5 of his estate.
 , which means that he divided 1/20 of his estate among the three charities. So if his entire estate was valued at x dollars:
Check the answer:
1/2 of $204,000 is $102,000 that went to his wife
1/4 of $204,000 is $51,000 that went to his son
1/5 of $204,000 is $40,800 that went to his niece
$102,000 + $51,000 + $40,800 = $193,800
$204,000 - $193,800 = $10,200
$10,200/3 = $3,400. Answer checks.
Hope that helps.
John
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