document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181359>Question 181359</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>Algebra and Trigonometry  Structure and Method </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Lina Chen invested $24,000, part at 8% and the rest at 7.2%.  How much did she invest at each rate if her income from the 8% investment is two thirds that of the 7.2%investment? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135979 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=135979\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> lets call the amounts invested at 8% and 7.2% x and y respectively<BR>\n" );
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document.write( "x+y=24000..............eq 1<BR>\n" );
document.write( ".08x+.072y=(2/3)y......eq 2<BR>\n" );
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document.write( "rewrite eq 1 to x=24000-y and plug that into eq 2<BR>\n" );
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document.write( ".08(24000-y)+.072y=(2/3)y<BR>\n" );
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document.write( "1920-.08y+.072y=(2/3)y<BR>\n" );
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document.write( "1920-.008=(2/3)y<BR>\n" );
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document.write( "5760-.024y=2y........multiplied terms by 3 to eliminate fraction<BR>\n" );
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document.write( "5760=2.024y<BR>\n" );
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document.write( "$<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282845.85%29 ALIGN=MIDDLE  ALT=\"highlight%282845.85%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >invested at 7.2 %<BR>\n" );
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document.write( "$<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2824000-2845.85=21154.15%29 ALIGN=MIDDLE  ALT=\"highlight%2824000-2845.85=21154.15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >invested at 8% </SPAN>\n" );
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