document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=25256>Question 25256</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Zach invests $4000, part of it at 10% annual interest and the rest at 12% annual interest.  If he earned $460 in interest at the end of one year, how much did he invest at each rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #13656 by </B><A HREF=/tutors/aboutme.mpl?userid=elima><B>elima(1433)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=elima><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=13656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the amount invested at 10%;<BR>\n" );
document.write( "SO we have;<BR>\n" );
document.write( ".10x=amount invested at 10%<BR>\n" );
document.write( "(4000-x).12=amount invested at 12%<BR>\n" );
document.write( "So our equation would be;<BR>\n" );
document.write( ".10x+(4000-x).12=460<BR>\n" );
document.write( "Distribute the 12%;<BR>\n" );
document.write( ".10x+480-.12x=460<BR>\n" );
document.write( "Put like terms together so you can see them better;<BR>\n" );
document.write( ".10x-.12x+480=460<BR>\n" );
document.write( "-.02x+480=460;<BR>\n" );
document.write( "subtract 480 from both sides;<BR>\n" );
document.write( "-.02x=-20<BR>\n" );
document.write( "Multiply each side by -.02;<BR>\n" );
document.write( "x=1000<BR>\n" );
document.write( "Now that we know what was invested at 10% we can subtract that from $4000 to get what was invested at 12%;<BR>\n" );
document.write( "$4000-$1000=$3000<BR>\n" );
document.write( "Hope you understand<BR>\n" );
document.write( "=)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );