document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=218075>Question 218075</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I've been having problems with this particular problem:<BR>\n" );
document.write( " A person won a state lottery prize of $20,000, from which 25% was deducted for taxes. The remainder was invested, partly for a 40% gain and a 10% loss. How much was each investment if there as a $2000 net investment gain?\r<BR>\n" );
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document.write( "I thought that you set up the problem as an equation x being the unknown amount but I got stumped on whether or not to use the pre or post taxed amount. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164277 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=164277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A person won a state lottery prize of $20,000, from which 25% was deducted for taxes. The remainder was invested, partly for a 40% gain and a 10% loss. How much was each investment if there as a $2000 net investment gain? <BR>\n" );
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document.write( "From the lottery he received 0.75*20000 = 15000<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "interest + interest = interest<BR>\n" );
document.write( "0.40x - 0.10(15000-x) = 2000<BR>\n" );
document.write( "Multiply thru by 100 to get:<BR>\n" );
document.write( "40x - 150000 + 10x = 200000<BR>\n" );
document.write( "50x = 350000<BR>\n" );
document.write( "x = $7000 (amt. invested at 40%)<BR>\n" );
document.write( "15000-7000 = $8000 (amt. invested at 10%)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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