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
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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(52775) (Show Source):
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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.
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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.
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A key step in solving such problems is
to write an equation as you read the text.
