document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=229043>Question 229043</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You invest $10,000 into 2 accounts, one earning 2% and the other 4%.  The dividends are $320 at the end of the year.  Find the amount in the 2% account. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170227 by </B><A HREF=/tutors/aboutme.mpl?userid=MLipsky><B>MLipsky(9)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MLipsky><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=170227\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <hr />We don't know how much is in either account.  We do know that both accounts total $10,000.\r<BR>\n" );
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document.write( "Amount in first account:  x<BR>\n" );
document.write( "Amount in second account:  10000-x\r<BR>\n" );
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document.write( "The dividends from the first account will be 2% of \"x\", and from the second account, they'll be 4% of \"10000-x\".\r<BR>\n" );
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document.write( "0.02x<BR>\n" );
document.write( "0.04(10000-x)\r<BR>\n" );
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document.write( "The total dividends are $320.\r<BR>\n" );
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document.write( "0.02x + 0.04(10000-x) = 320<BR>\n" );
document.write( "0.02x + 400 - 0.04x = 320 (distributed 0.04)<BR>\n" );
document.write( "-0.02x + 400 = 320 (combines like terms, \"x\")<BR>\n" );
document.write( "-0.02x = -80 (subtracted 400 from both sides)<BR>\n" );
document.write( "x = -80/-0.02 (divided both sides by -0.02)<BR>\n" );
document.write( "x = 4000\r<BR>\n" );
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document.write( "So, there is $4000 in the first account, and looking back at the question, that's what it was asking.  Done!\r<BR>\n" );
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