document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105295>Question 105295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a practice sheet my teacher gave me and I can not figure out this problem.  Please help.\r<BR>\n" );
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document.write( "A broker invested $25000 in two different stocks.  One stock earned dividents at 3.5% and the other at 4%.  If a dividend of $900 was earned on both stocks together, how much was invested in each stock.\r<BR>\n" );
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document.write( "Please help -<BR>\n" );
document.write( "Thanks<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76641 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=76641\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the amount invested at 3.5%, then ($25000-x) = the amount invested at 4%.<BR>\n" );
document.write( "The dividend earned on the first amount is 3.5% of x and this can be written as: 0.035x.<BR>\n" );
document.write( "The dividend earned on the second amount is 4% of ($25000-x) and this can be written as 0.04($25000-x)<BR>\n" );
document.write( "The sum of these two dividend amounts is given as $900<BR>\n" );
document.write( "We have enough now to write the necessary equation to solve for x.<BR>\n" );
document.write( "0.035x + 0.04(25000-x) = 900 Simplify and solve for x.<BR>\n" );
document.write( "0.035x+1000-0.04x = 900 Combine like-terms.<BR>\n" );
document.write( "-0.005x+1000 = 900 Subtract 1000 from both sides.<BR>\n" );
document.write( "-0.005x = -100 Divide both sides by -0.005<BR>\n" );
document.write( "x = 20,000<BR>\n" );
document.write( "$20,000 was invested at 3.5%<BR>\n" );
document.write( "$5,000 was invested at 4%<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "$20,000(0.035)+$5,000(0.04) = $700+$200 = $900 Total dividends earned.<BR>\n" );
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