document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163856>Question 163856</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073311821/algebrahomeworkh>Mathematics in our World</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me set up to solve this problem:\r<BR>\n" );
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document.write( "A father left 1/2 of his estate to his son, 1/3 of his estate to his granddaughter, and the remaining $6000 to charity. What was his total estate?\r<BR>\n" );
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document.write( "Thank you in advance!\r<BR>\n" );
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document.write( "Randi </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120700 by </B><A HREF=/tutors/aboutme.mpl?userid=kennedysj><B>kennedysj(5)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=kennedysj><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=120700\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x be the total amount of the estate.\r<BR>\n" );
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document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2Ax+ ALIGN=MIDDLE  ALT=\"%281%2F2%29%2Ax+\"   DISABLED_style= \"max-width:90%; height:auto;\" >= son's share\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%2Ax ALIGN=MIDDLE  ALT=\"%281%2F3%29%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > = granddaughter's share\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2Ax+%2B+%281%2F3%29%2Ax+%2B+6000+=+x ALIGN=MIDDLE  ALT=\"%281%2F2%29%2Ax+%2B+%281%2F3%29%2Ax+%2B+6000+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > or the total estate.\r<BR>\n" );
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document.write( "Solving this equation requires finding a common denominator of 6 for the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283%2F6%29%2Ax+%2B+%282%2F6%29%2Ax+%2B+6000+=+x ALIGN=MIDDLE  ALT=\"+%283%2F6%29%2Ax+%2B+%282%2F6%29%2Ax+%2B+6000+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "combining like terms we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F6%29%2Ax+%2B+6000+=+x ALIGN=MIDDLE  ALT=\"%285%2F6%29%2Ax+%2B+6000+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtracting the (5/6)*x from both sides gives us <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6000+=+%281%2F6%29%2A+x ALIGN=MIDDLE  ALT=\"+6000+=+%281%2F6%29%2A+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiplying both sides by 6 gives us \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36000+=+x ALIGN=MIDDLE  ALT=\"36000+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Therefore the entire estate was $36000.<BR>\n" );
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