document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61075>Question 61075</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130519685/algebrahomeworkh>Algebra 2 with trigonometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A total of $1150 was investe3d , part of it at 12% and part at 11%. The total yield was $133.75.  How much was invested at each rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41991 by </B><A HREF=/tutors/aboutme.mpl?userid=joyofmath><B>joyofmath(189)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=joyofmath><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=41991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A total of $1150 was invested, part of it at 12% and part at 11%. The total yield was $133.75.  How much was invested at each rate?\r<BR>\n" );
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document.write( "Let A = amount invested at 12%.<BR>\n" );
document.write( "Let B = amount invested at 11%.\r<BR>\n" );
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document.write( "A total of $1150 was invested so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB=1150 ALIGN=MIDDLE  ALT=\"A%2BB=1150\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The total yield = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.12A%2B.11B=133.75 ALIGN=MIDDLE  ALT=\".12A%2B.11B=133.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2BB=1150 ALIGN=MIDDLE  ALT=\"A%2BB=1150\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=1150-A ALIGN=MIDDLE  ALT=\"B=1150-A\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=1150-A ALIGN=MIDDLE  ALT=\"B=1150-A\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.12A%2B.11B=133.75 ALIGN=MIDDLE  ALT=\".12A%2B.11B=133.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.12A%2B.11%281150-A%29=133.75 ALIGN=MIDDLE  ALT=\".12A%2B.11%281150-A%29=133.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Simplify and you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.12A%2B126.5-.11A=133.75 ALIGN=MIDDLE  ALT=\".12A%2B126.5-.11A=133.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Simplify more and you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.01A%2B126.5=133.75 ALIGN=MIDDLE  ALT=\".01A%2B126.5=133.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Subtract 126.5 from both sides and you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.01A=7.25 ALIGN=MIDDLE  ALT=\".01A=7.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=725 ALIGN=MIDDLE  ALT=\"A=725\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So, $725 was invested at 12% A total of $1150 was invested so the balance, $425, was invested at 11%.\r<BR>\n" );
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document.write( "To verify, plug the values of A and B into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.12A%2B.11B=133.75 ALIGN=MIDDLE  ALT=\".12A%2B.11B=133.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.12%28725%29%2B.11%28425%29+=+87%2B46.75+=+133.75 ALIGN=MIDDLE  ALT=\".12%28725%29%2B.11%28425%29+=+87%2B46.75+=+133.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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