document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1015711>Question 1015711</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Candence has $5,400 to invest. She can invest in bonds that pay 7.5% interest and CDs that pay 6% interest. She wishes to invest some both ways. How much does she invest in each if she earns $384 interest in one year? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #632105 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=632105\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the amount invested at 6%<BR>\n" );
document.write( "x*6% + (5400-x)*7.5% = 384<BR>\n" );
document.write( "0.06x + 0.075(5400-x) = 384<BR>\n" );
document.write( "0.06x + 405 - 0.07x = 384<BR>\n" );
document.write( "-0.01x + 405 = 384<BR>\n" );
document.write( "add -405 to each side<BR>\n" );
document.write( "-0.01x  = -21<BR>\n" );
document.write( "divide each side by -0.01<BR>\n" );
document.write( "x = 1400<BR>\n" );
document.write( "So 1400 at 6% = 84<BR>\n" );
document.write( "(5400-1400) or 4000 at 7.5% = 300<BR>\n" );
document.write( "Our total interest is 384<BR>\n" );
document.write( "So we invest 1400 at 6% and 4000 at 7.5%<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );