document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176578>Question 176578</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Amy invests a part of $8000 in bonds paying 12% interest. The remainder is in a savings account at 8%. If she receives $840 in interest for 1 year, how much does she have invested at each rate? (Show the two equations you used and then your solution) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131650 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=131650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x=amount invested at 12%<BR>\n" );
document.write( "And let y=amount invested at 8%\r<BR>\n" );
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document.write( "Now we are told the following:<BR>\n" );
document.write( "x+y=$8000---------------------------------eq1<BR>\n" );
document.write( "0.12x+0.08y=$840-----------------------------eq2\r<BR>\n" );
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document.write( "From eq1, y=$8000-x.  Substitute this into eq2 and we have:\r<BR>\n" );
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document.write( "0.12x+0.08($8000-x)=$840  get rid of parens<BR>\n" );
document.write( "0.12x+$640-0.08x=$840  subtract $640 from each side<BR>\n" );
document.write( "0.12x+$640-$640-0.08x=$840-$640  collect like terms<BR>\n" );
document.write( "0.04x=$200  divide each side by 0.04<BR>\n" );
document.write( "x=$5000----------------------------------amount invested at 12%<BR>\n" );
document.write( "substitute x=$5000 into eq1:<BR>\n" );
document.write( "$5000+y=$8000  subtract $5000 from each side<BR>\n" );
document.write( "y=$3000-------------------------------------amount invested at 8%\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "0.12*$5000+0.08*$3000=$840<BR>\n" );
document.write( "$600+$240=$840<BR>\n" );
document.write( "$840=$840\r<BR>\n" );
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document.write( "Another way------------------------only 1 equation<BR>\n" );
document.write( "Let x=amount invested at 12%<BR>\n" );
document.write( "Then $8000-x=amount invested at 8%<BR>\n" );
document.write( "0.12x+0.08($8000-x)=$840------------------same equation as before\r<BR>\n" );
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document.write( "Does this help???----------ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );