document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=218111>Question 218111</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I can not figure out how to set this problem up.  I have tried to solve it multiple times.  Here is the question:\r<BR>\n" );
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document.write( "How can $4,000.00 be invested, part at 6% and the remainder at 10% so that the two investments will produce the same interest?\r<BR>\n" );
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document.write( "Thank you for your help.\r<BR>\n" );
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document.write( "Mandy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164329 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=164329\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I can not figure out how to set this problem up.  I have tried to solve it multiple times.  Here is the question:\r<BR>\n" );
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document.write( "How can $4,000.00 be invested, part at 6% and the remainder at 10% so that the two investments will produce the same interest?\r<BR>\n" );
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document.write( "Thank you for your help.\r<BR>\n" );
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document.write( "Mandy\r<BR>\n" );
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document.write( "Let the amount invested at 6% be S. Then the amount invested at 10% = 4,000 - S\r<BR>\n" );
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document.write( "Since the interest amounts earned from both investments are equal, then we'll have:\r<BR>\n" );
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document.write( ".06S = .1(4,000 - S)\r<BR>\n" );
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document.write( ".06S = 400 - .1S\r<BR>\n" );
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document.write( ".06S + .1S = 400\r<BR>\n" );
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document.write( ".16S = 400\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+400%2F.16+=+2500 ALIGN=MIDDLE  ALT=\"S+=+400%2F.16+=+2500\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, amount invested at S, or 6% = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%282500%29 ALIGN=MIDDLE  ALT=\"highlight_green%282500%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the amount invested at 10% = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%281500%29 ALIGN=MIDDLE  ALT=\"highlight_green%281500%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, calculated as $4,000 - $2,500.\r<BR>\n" );
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document.write( "Check<BR>\n" );
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document.write( "2,500 * .06 = $150\r<BR>\n" );
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document.write( "1,500 * .1 =  $150\r<BR>\n" );
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document.write( "Both interest amounts are the same. </SPAN>\n" );
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