document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=953149>Question 953149</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jennifer has $5000 to invest into two accounts paying simple interest. The first account pays a guaranteed 8% simple interest and the second account pays a guaranteed 10% simple interest. How much must Jennifer invest into each account in order to earn $800 combined annual interest on both accounts?\r<BR>\n" );
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document.write( "I have been trying elimination and substitution for about 30 minutes and every time I come up with a negative answer which, obviously, is not correct.\r<BR>\n" );
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document.write( "I set it up with X being the account offering 8% interest and Y being the account offering 10% interest.\r<BR>\n" );
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document.write( "X+Y=5000<BR>\n" );
document.write( ".08X+.1Y=800\r<BR>\n" );
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document.write( "I tried the following:<BR>\n" );
document.write( "-.1x-.1Y=-500<BR>\n" );
document.write( ".08X+.1Y=800\r<BR>\n" );
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document.write( "-.02X=300\r<BR>\n" );
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document.write( "I also tried:<BR>\n" );
document.write( ".08X+.1(5000-X)=800<BR>\n" );
document.write( ".08X+500-.1X=800<BR>\n" );
document.write( "-.02X=300\r<BR>\n" );
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document.write( "I cannot figure out where the problem is and I am going insane trying to find it!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582055 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=582055\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The problem is in the problem itself: $5000 cannot earn $800 per year in interest at the rates given: $800/$5000(100%)=16% so she would have to invest at a minimum of 16% to reach her goal. <BR>\n" );
document.write( "PS: The reason you cone up with a negative amount, when you subtract the negative from the total it leaves more money than you have to invest in the other account. </SPAN>\n" );
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