document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174523>Question 174523</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2. Suppose Bob owns 2,000 shares of Company X and 10,000 shares of Company Y.  The total value of Bob's holdings of these two companies is $340,000.\r<BR>\n" );
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document.write( "Suppose Frank owns 8,000 shares of Company X and 6,000 shares of Company Y.  The total value of Franks holdings of these two companies is $340,000.\r<BR>\n" );
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document.write( "a.  Write equations for Bob and Frank's holdings.  Use the variables X and Y to represent the values of shares of Company X and Company Y.\r<BR>\n" );
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document.write( "b. Solve for the value of a share of Company X and Company Y.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129524 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=129524\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the price per share of company X and company Y be X and Y respetively<BR>\n" );
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document.write( "A. Bob's shares:2000X+10000Y=340000....eq 1<BR>\n" );
document.write( "   Frank's shares:8000X+6000Y=340000...eq 2<BR>\n" );
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document.write( "B lets rewrite eq 1 to 2000X=340000-10000Y <BR>\n" );
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document.write( "now divide by 2000 on each side<BR>\n" );
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document.write( "X=170-5Y<BR>\n" );
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document.write( "substitute X's value into eq 2<BR>\n" );
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document.write( "8000(170-5Y)+6000Y=340000<BR>\n" );
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document.write( "1360000-40000Y+6000Y=340000<BR>\n" );
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document.write( "-34000Y=-1020000<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28Y=30%29%29 ALIGN=MIDDLE  ALT=\"highlight%28Y=30%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >dollars per share of company Y<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28X=170-5%2830%29=20%29 ALIGN=MIDDLE  ALT=\"highlight%28X=170-5%2830%29=20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >dollars per share of companyX<BR>\n" );
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document.write( "  </SPAN>\n" );
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