document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=197924>Question 197924</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.  Show your work so you can get partial credit even if your final answer is wrong.<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 #148420 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=148420\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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.<BR>\n" );
document.write( "Eq #1: 2000x + 10000y = 340000<BR>\n" );
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document.write( " <BR>\n" );
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. <BR>\n" );
document.write( "Eq #2: 8000x + 6000y = 340000<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. <BR>\n" );
document.write( "b. Solve for the value of a share of Company X and Company Y. Show your work so you can get partial credit even if your final answer is wrong.<BR>\n" );
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document.write( "Solve by any method you know to get:<BR>\n" );
document.write( "Eq #1: 2000x + 10000y = 340000<BR>\n" );
document.write( "Eq #2: 8000x + 6000y = 340000<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Divide thru both of those equations by 1000 to get:<BR>\n" );
document.write( "Eq #1: 2x + 10y = 340<BR>\n" );
document.write( "Eq #2: 8x + 6y  = 340<BR>\n" );
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document.write( "Multiply thru the 1st equation by 4:<BR>\n" );
document.write( "Eq #1: 8x + 40y = 1360<BR>\n" );
document.write( "Eq #2: 8x + 6y  = 340<BR>\n" );
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document.write( "Subtract the 2nd Eq from the 1st to solve for \"x\":<BR>\n" );
document.write( "34y = 1020<BR>\n" );
document.write( "y = 30<BR>\n" );
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document.write( "Substitute into 2x + 10y = 340 to solve for \"x\":<BR>\n" );
document.write( "2x + 10*30 = 340<BR>\n" );
document.write( "2x = 40<BR>\n" );
document.write( "x = 20<BR>\n" );
document.write( "=======================================<BR>\n" );
document.write( "Final Answer:<BR>\n" );
document.write( "X = $20<BR>\n" );
document.write( "Y = $30<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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