document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #88105 by solver91311(24713)\"\" \"About 
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Not counting the charities, he gave away 1/2 plus 1/4 plus 1/5 of his estate.\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29%2B%281%2F4%29%2B%281%2F5%29=%2810%2F20%29%2B%285%2F20%29%2B%284%2F20%29=19%2F20\", which means that he divided 1/20 of his estate among the three charities. So if his entire estate was valued at x dollars:\r
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\n" ); document.write( "\n" ); document.write( "\"3%2A3400=x%2F20\"\r
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\n" ); document.write( "\n" ); document.write( "\"20%2A3%2A3400=x\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+204000\"\r
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\n" ); document.write( "\n" ); document.write( "Check the answer:\r
\n" ); document.write( "\n" ); document.write( "1/2 of $204,000 is $102,000 that went to his wife
\n" ); document.write( "1/4 of $204,000 is $51,000 that went to his son
\n" ); document.write( "1/5 of $204,000 is $40,800 that went to his niece\r
\n" ); document.write( "\n" ); document.write( "$102,000 + $51,000 + $40,800 = $193,800\r
\n" ); document.write( "\n" ); document.write( "$204,000 - $193,800 = $10,200\r
\n" ); document.write( "\n" ); document.write( "$10,200/3 = $3,400. Answer checks.\r
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\n" ); document.write( "\n" ); document.write( "Hope that helps.
\n" ); document.write( "John
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