document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=7006>Question 7006</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man died and left the following instructions for his fortune\r<BR>\n" );
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document.write( "Half went to his wife<BR>\n" );
document.write( "1/7 of what was left went to his son<BR>\n" );
document.write( "2/3 of what was left went to his butler<BR>\n" );
document.write( "the man's pet pig got the remaning $2000<BR>\n" );
document.write( "How much money did the man leave behind altogether? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3829 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=3829\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the deceased man's fortune.\r<BR>\n" );
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document.write( "To his wife, he leaves (1/2)x<BR>\n" );
document.write( "To his son, he leaves (1/7) of (1/2)x<BR>\n" );
document.write( "To his butler, he leaves (2/3) of ((1/7) of (1/2)x)<BR>\n" );
document.write( "To his pig, he leaves the remaining $2,000.00\r<BR>\n" );
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document.write( "All these amounts should add up to $x, the deceased man's fortune.\r<BR>\n" );
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document.write( "(1/2)x + (1/7)(1/2)x + (2/3)(1/7)(1/2)x + $2,000.00 = $x  Simplify and solve for x.  Factor an x from the first three terms.\r<BR>\n" );
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document.write( "x(1/2 + 1/14 + 2/42) + $2,000.00 = $x  Add up the fractions. The common denominator is 42.\r<BR>\n" );
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document.write( "x(21/42 + 3/42 + 2/42) + $2,000.00 = $x<BR>\n" );
document.write( "x(26/42) + $2,000.00 = $x  Simplify the fraction.<BR>\n" );
document.write( "x(13/21) + $2,000.00 = $x  Subtract x(13/21) from both sides.<BR>\n" );
document.write( "$2,000.00 = $x - x(13/21)<BR>\n" );
document.write( "$2,000.00 = $x(8/21) Multiply both sides by the multiplicative inverse of 8/21<BR>\n" );
document.write( "$2,000.00(21/8) = $x<BR>\n" );
document.write( "$x = $5,250.00 The deceased man's fortune.<BR>\n" );
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