document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139510>Question 139510</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3. An investor bought 500 shares of stock , some at $ 3.50 per share and some at $6.00 per share. If the total cost was $ 2187.50, how many shares of each stock did the investor buy?<BR>\n" );
document.write( "(a)	How will you set up the problem?<BR>\n" );
document.write( "(b)	What is the equation in terms of the variables?<BR>\n" );
document.write( "(c)	Which shares are more?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101746 by </B><A HREF=/tutors/aboutme.mpl?userid=frostusna><B>frostusna(7)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=frostusna><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=101746\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have two unknowns, the number of each stock bought, so you need two equations. \r<BR>\n" );
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document.write( "First, let x=number of stock at $3.50 and y=number of stock at $6.00.\r<BR>\n" );
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document.write( "We know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y+=+500 ALIGN=MIDDLE  ALT=\"x+%2B+y+=+500\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "and we know <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.50+%2A+x+%2B+6.00+%2A+y+=+2187.50 ALIGN=MIDDLE  ALT=\"3.50+%2A+x+%2B+6.00+%2A+y+=+2187.50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve the first equation for y: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+500+-+x ALIGN=MIDDLE  ALT=\"y+=+500+-+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substitute this value for y into the second equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5x+%2B+6%28500+-+x%29+=+2187.50 ALIGN=MIDDLE  ALT=\"3.5x+%2B+6%28500+-+x%29+=+2187.50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5x+%2B+3000+-+6x+=+2187.5 ALIGN=MIDDLE  ALT=\"3.5x+%2B+3000+-+6x+=+2187.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3000+-+2.5x+=+2187.5 ALIGN=MIDDLE  ALT=\"3000+-+2.5x+=+2187.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=812.5+=+2.5x ALIGN=MIDDLE  ALT=\"812.5+=+2.5x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+325 ALIGN=MIDDLE  ALT=\"x+=+325\"   DISABLED_style= \"max-width:90%; height:auto;\" > the number of $3.50 stocks bought. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+500+-+325+=+175 ALIGN=MIDDLE  ALT=\"y+=+500+-+325+=+175\"   DISABLED_style= \"max-width:90%; height:auto;\" > the number of $6.00 stocks bought. </SPAN>\n" );
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