document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82580>Question 82580</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lane invested $22,000 part at 8% and part at 7%. If the actual interest at the end of the year is $1710. How much did she invest at 8%?\r<BR>\n" );
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document.write( "(a)$18,000<BR>\n" );
document.write( "(b)$16,000<BR>\n" );
document.write( "(c)$5,000<BR>\n" );
document.write( "(d)$17,000 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59163 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=59163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x=amount invested at 8%\r<BR>\n" );
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document.write( "Then $22000-x=amount invested at 7%\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( "Interest on amount invested at 8%= 0.08x<BR>\n" );
document.write( "Interest on amount invested at 7%= 0.07($22000-x)\r<BR>\n" );
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document.write( "Now we are told that the actual interest at the end of the year is $1710.  So:\r<BR>\n" );
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document.write( "0.08x+0.07($22000-x)=$1710  get rid of parens\r<BR>\n" );
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document.write( "0.08x+$1540-0.07x=$1710  subtract $1540 from both sides\r<BR>\n" );
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document.write( "0.08x+$1540-$1540-0.07x=$1710-$1540  collect like terms\r<BR>\n" );
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document.write( "0.01x=$170  divide both sides by 0.01\r<BR>\n" );
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document.write( "x=$17000-------------------------amount invested at 8%\r<BR>\n" );
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document.write( "$22000-x=$22000-$17000=$5000 -----------amount invested at 7%\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "$5000(0.07)+$17000(0.08)=$1710\r<BR>\n" );
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document.write( "$350+$1360=$1710\r<BR>\n" );
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document.write( "$1710=$1710\r<BR>\n" );
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document.write( "Hope this helps----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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