document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=965809>Question 965809</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dave has $2,000 to invest. He would like to earn $$135.20 per year in interest. How much should he invest at 6% if the rest is to be invested at 7%?<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 #590308 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=590308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "X=amount at 6%; Y=amount at 7%<BR>\n" );
document.write( "X+Y=$2000 Total amount invested is $2000 <BR>\n" );
document.write( "X=$2000-Y Use this to substitute for X <BR>\n" );
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document.write( "0.06X+0.07Y=$135.20 (Amount of interest at both rates) Substitute for X from above.<BR>\n" );
document.write( "0.06($2000-Y)+0.07Y=$135.20<BR>\n" );
document.write( "$120-0.06Y+0.07Y=$135.20 Subtract $120 from each side.<BR>\n" );
document.write( "0.01Y=$15.20 Multiply each side by 100<BR>\n" );
document.write( "Y=$1520.00  He should invest $1520 at 7%. <BR>\n" );
document.write( "X=$2000-Y=$2000-$1520=$480 ANSWER: He should invest $480 at 6%.<BR>\n" );
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document.write( "CHECK:<BR>\n" );
document.write( "0.06X+0.07Y=$135.20<BR>\n" );
document.write( "0.06($480)+0.07($1520)=$135.20<BR>\n" );
document.write( "$28.80+$106.40=$135.20<BR>\n" );
document.write( "$135.20=$135.20 </SPAN>\n" );
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