document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=701091>Question 701091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello - I need assistance.  I have a problem that I can't seem to figure out; please see below,\r<BR>\n" );
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document.write( "A person has 17,000 invested in stock A and stock B.  Stock A currently sells for $50 a share and stock B sells for $60 a share.  If stock B doubles in value and stock A goes up 50%, his stock will be worth $31,500.  How many shares of each stock does he own?\r<BR>\n" );
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document.write( "Word problems are the worst for me because I am never sure where to start.  Once I have the equation I can solve but getting it is the problem.  If you can help I would greatly appreciate it.\r<BR>\n" );
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document.write( "Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #432211 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><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/cgi-bin/show-face.mpl?user=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=432211\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><font face=\"Tahoma\">I believe the two equations you would need are:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50A%2B60B=17000 ALIGN=MIDDLE  ALT=\"50A%2B60B=17000\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75A%2B120B=31500 ALIGN=MIDDLE  ALT=\"75A%2B120B=31500\"   DISABLED_style= \"max-width:90%; height:auto;\" > A goes up 50% to 75, B doubles to 120<br>\r<BR>\n" );
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document.write( "Using elemination seems to be the easiest method to solve:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-100A-120B=-34000 ALIGN=MIDDLE  ALT=\"-100A-120B=-34000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Equation 1 multiplied by -2<br>\r<BR>\n" );
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document.write( "Add this to the second equation to get:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-25A=-2500 ALIGN=MIDDLE  ALT=\"-25A=-2500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=100 ALIGN=MIDDLE  ALT=\"A=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Then substitue back in Equation 1:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2A100%2B60B=17000 ALIGN=MIDDLE  ALT=\"50%2A100%2B60B=17000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5000%2B60B=17000 ALIGN=MIDDLE  ALT=\"5000%2B60B=17000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60B=12000 ALIGN=MIDDLE  ALT=\"60B=12000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=200 ALIGN=MIDDLE  ALT=\"B=200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "So we have 100 shares of Stock A, and 200 shares of Stock B!<br>\r<BR>\n" );
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document.write( "I hope this helps!  Keep practicing!  :)<br>\r<BR>\n" );
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document.write( "Thank you and good luck with all your future studies!<br><br> </SPAN>\n" );
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