document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=314449>Question 314449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Deborah splits $20,000 between Bryce Bond Fund with an annual yield of 8% and Strauss Stock Fund with an annual yield of 12%. If her total income for one year on the two investments was $1,836.88, then how much did she invest in each fund?\r<BR>\n" );
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document.write( "Please Help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224817 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><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=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=224817\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=amount invested at 8%<BR>\n" );
document.write( "Let y=amount invested at 12%\r<BR>\n" );
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document.write( "You have two variables, so you need two equations.\r<BR>\n" );
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document.write( "Equation 1: x+y=20000   (the sum of her initial investments)<BR>\n" );
document.write( "Equation 2: 0.08x + 0.12y = 1836.88  (the sum of her investment earnings)\r<BR>\n" );
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document.write( "Now you can isolate for x or y in Equation 1. I will choose to isolate for x:\r<BR>\n" );
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document.write( "x=20000-y\r<BR>\n" );
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document.write( "Now substitute this value into Equation 2, and then solve for y:\r<BR>\n" );
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document.write( "0.08(20000-y) +0.12y = 1836.88<BR>\n" );
document.write( "1600-0.08y +0.12y = 1836.88<BR>\n" );
document.write( "1600 +0.04y = 1836.88<BR>\n" );
document.write( "0.04y = 236.88<BR>\n" );
document.write( "y=5922\r<BR>\n" );
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document.write( "Now plug this y value into Equation 2 to find x:\r<BR>\n" );
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document.write( "x=20000-y<BR>\n" );
document.write( "x=20000-5922<BR>\n" );
document.write( "x=14078 </SPAN>\n" );
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