document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104921>Question 104921</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mr. Rich invested 50,000. Part of it he put in a gold mine stock from which he hoped to receive 20% per year. The rest he invested in bank stock which was paying 6%. If he received 400 more the first year from the bank stock than from the mining stock, how much did he invest in each stock? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76396 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=76396\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's name the variables first<BR>\n" );
document.write( "G-amount of money he put in the gold stock<BR>\n" );
document.write( "B-amount of money he put in the back stock<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G%2BB=50000 ALIGN=MIDDLE  ALT=\"G%2BB=50000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Interest for one year is calculated using the rate and the amount of money. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I%5BG%5D=G%2A20%2F100 ALIGN=MIDDLE  ALT=\"I%5BG%5D=G%2A20%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > Interest for gold stock<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I%5BB%5D=B%2A6%2F100 ALIGN=MIDDLE  ALT=\"I%5BB%5D=B%2A6%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > Interest for bank stock<BR>\n" );
document.write( "You also know a relationship between the interests from each stock. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I%5BB%5D=I%5BG%5D%2B400 ALIGN=MIDDLE  ALT=\"I%5BB%5D=I%5BG%5D%2B400\"   DISABLED_style= \"max-width:90%; height:auto;\" >Interest between gold stock and bank stock<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%2A6%2F100=G%2A20%2F100%2B400 ALIGN=MIDDLE  ALT=\"B%2A6%2F100=G%2A20%2F100%2B400\"   DISABLED_style= \"max-width:90%; height:auto;\" >Susbtitute.<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6B=20G%2B40000 ALIGN=MIDDLE  ALT=\"6B=20G%2B40000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply by 100 to simplify. <BR>\n" );
document.write( "From equation 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G%2BB=50000 ALIGN=MIDDLE  ALT=\"G%2BB=50000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=50000-G ALIGN=MIDDLE  ALT=\"B=50000-G\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting into 2, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6B=20G%2B40000 ALIGN=MIDDLE  ALT=\"6B=20G%2B40000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2850000-G%29=20G%2B40000 ALIGN=MIDDLE  ALT=\"6%2850000-G%29=20G%2B40000\"   DISABLED_style= \"max-width:90%; height:auto;\" >Substitute.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300000-6G=20G%2B40000 ALIGN=MIDDLE  ALT=\"300000-6G=20G%2B40000\"   DISABLED_style= \"max-width:90%; height:auto;\" >Distribute.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=260000=26G ALIGN=MIDDLE  ALT=\"260000=26G\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G=10000 ALIGN=MIDDLE  ALT=\"G=10000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=50000-G ALIGN=MIDDLE  ALT=\"B=50000-G\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=50000-10000 ALIGN=MIDDLE  ALT=\"B=50000-10000\"   DISABLED_style= \"max-width:90%; height:auto;\" >Substitute.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=40000 ALIGN=MIDDLE  ALT=\"B=40000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check your answer.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%2A6%2F100=G%2A20%2F100%2B400 ALIGN=MIDDLE  ALT=\"B%2A6%2F100=G%2A20%2F100%2B400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40000%2A6%2F100=10000%2A20%2F100%2B400 ALIGN=MIDDLE  ALT=\"40000%2A6%2F100=10000%2A20%2F100%2B400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2400=2000%2B400 ALIGN=MIDDLE  ALT=\"2400=2000%2B400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2400=2400 ALIGN=MIDDLE  ALT=\"2400=2400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Good answer. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );