document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=99677>Question 99677</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131444441/algebrahomeworkh>Beginning Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation:\r<BR>\n" );
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document.write( "Karen Waugtal invested some money at 9% annual simple interest and $250 more than that amount at 10% annual simple interest.  If her total yearly interest was $101, how much was invested at each rate?\r<BR>\n" );
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document.write( "I'm stuck.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #72545 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=72545\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let P=amount invested at 9%\r<BR>\n" );
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document.write( "Then P+250=amount invested at 10%\r<BR>\n" );
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document.write( "Interest(I)=Principal(P) times Rate(R) times Time(T) or I=PRT\r<BR>\n" );
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document.write( "(1) Interest at 9%=P*(0.09)*(1)=0.09P\r<BR>\n" );
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document.write( "(2) Interest at 10%=(P+250)*(0.10)*(1)=(0.10)(P+250)\r<BR>\n" );
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document.write( "Now we are told that (1)+(2)=101 so our equation to solve is:\r<BR>\n" );
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document.write( "0.09P+(0.10)(P+250)=101  get rid of parens\r<BR>\n" );
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document.write( "0.09P+0.10P+25=101  subtract 25 from both sides<BR>\n" );
document.write( "0.09P+0.10P+25-25=101-25  combine like terms\r<BR>\n" );
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document.write( "0.19P=76  divide both sides by 0.19\r<BR>\n" );
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document.write( "P=$400------------------------------------ amount invested at 9%\r<BR>\n" );
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document.write( "P+250=400+250=$650-----amount invested at 10%\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "400*0.09+650*0.10=101\r<BR>\n" );
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document.write( "36+65=101<BR>\n" );
document.write( "101=101\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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