document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1144470>Question 1144470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Fred received an inheritance of 13,500. He wishes to divide the amount between investments at 15% and 12% to receive an average return on both investments of 13%. How much should he invest at each rate?\r<BR>\n" );
document.write( "\n" );
document.write( "could someone please also explain how to set the problem up </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #765601 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=765601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Fred received an inheritance of 13,500.<BR>\n" );
document.write( " He wishes to divide the amount between investments at 15% and 12% to receive an average return on both investments of 13%.<BR>\n" );
document.write( " How much should he invest at each rate?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let a = amt of 15% investment<BR>\n" );
document.write( "let b = amt of 12% investment<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a + b = 13500<BR>\n" );
document.write( "b = (13500 - a); use this form for substitution <BR>\n" );
document.write( "and<BR>\n" );
document.write( ".15a + .12b = .13(13500)<BR>\n" );
document.write( ".15a + .12b = 1755 <BR>\n" );
document.write( "Replace b with (13500-a)<BR>\n" );
document.write( ".15a + .12(13500-a) = 1755<BR>\n" );
document.write( ".15a + 1620 - .12a = 1755<BR>\n" );
document.write( ".15a - .12a = 1755 - 1620<BR>\n" );
document.write( ".03a = 135<BR>\n" );
document.write( "a = 135/.03<BR>\n" );
document.write( "a = $4500 in the 15% investment<BR>\n" );
document.write( "then<BR>\n" );
document.write( "13500 - 4500 = $9000 in the 12% investment<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that checks out<BR>\n" );
document.write( ".15(4500) = 675<BR>\n" );
document.write( ".12(9000) = 1080<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "total ret: 1755 which is 13% of 13500<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );