document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117100>Question 117100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Janet invested 10,000, part at 15% and part at 7%. If the total interest at the end of the year is $1,260, how much did she invest @ 15%?<BR>\n" );
document.write( "a) 3,000<BR>\n" );
document.write( "b) 8,000<BR>\n" );
document.write( "c) 7,000<BR>\n" );
document.write( "d) 6,000\r<BR>\n" );
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document.write( "Show all work </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85203 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=85203\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Interest(I) equals Principal(P) times Rate(R) times Time(T) or I=PRT<BR>\n" );
document.write( "Let x=amount invested at 15%<BR>\n" );
document.write( "Then 10,000-x=amount invested at 7%<BR>\n" );
document.write( "Interest at 15% =x*0.15*1 or 0.15x<BR>\n" );
document.write( "Interest at 7%=(10,000-x)*0.07*1=0.07(10,000-x)\r<BR>\n" );
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document.write( "Now we are told that the total interest for the year was $1260 so our equation to solve is:\r<BR>\n" );
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document.write( "0.15x+0.07(10,000-x)=1260  get rid of parens\r<BR>\n" );
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document.write( "0.15x+700-0.07x=1260  subtract 700 from both sides<BR>\n" );
document.write( "0.15x+700-700-0.07x=1260-700  collect like terms\r<BR>\n" );
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document.write( "0.08x=560  divide both sides by 0.08<BR>\n" );
document.write( "x=$7000----amount invested at 15%<BR>\n" );
document.write( "10,000-x=10,000-7000=$3000---------------amount invested at 7%\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "7000*0.15+3000*0.07=1260<BR>\n" );
document.write( "1050+210=1260<BR>\n" );
document.write( "1260=1260\r<BR>\n" );
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document.write( "Hope this helps---ptaylor<BR>\n" );
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