document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=982515>Question 982515</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Channing derives an income of P618 from some money invested at 3% and some at 4.5% if the amounts of the respective investmemts were interchanged, he would receive P336. How much did he originally 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 #603420 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=603420\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Channing derives an income of P618 from some money invested at 3% and some at 4.5% if the amounts of the respective investments were interchanged, he would receive P336.<BR>\n" );
document.write( " How much did he originally invest at each rate?<BR>\n" );
document.write( ";<BR>\n" );
document.write( "let x = amt of 1st investment<BR>\n" );
document.write( "let y = amt of 2nd investment<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation for each scenario<BR>\n" );
document.write( ".045x + .03y = 636<BR>\n" );
document.write( ".03x + .045y = 618<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Rearrange the 1st equation<BR>\n" );
document.write( ".03y = -.045x + 636<BR>\n" );
document.write( "divide both sides by .03<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-.045%2F.03 ALIGN=MIDDLE  ALT=\"-.045%2F.03\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=636%2F.03 ALIGN=MIDDLE  ALT=\"636%2F.03\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = -1.5x + 21200<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Replace y with (-1.5x+21200) in the 2nd equation<BR>\n" );
document.write( ".03x + .045(-1.5x+21200) = 618<BR>\n" );
document.write( ".03x - .0675x + 954 = 618<BR>\n" );
document.write( ".03x - .0675x = 618 - 954<BR>\n" );
document.write( "-.0375x = -336<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-336%29%2F%28-.0375%29 ALIGN=MIDDLE  ALT=\"%28-336%29%2F%28-.0375%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = $8960 amt in the 1st investment<BR>\n" );
document.write( "then<BR>\n" );
document.write( "y = -1.5(8960) + 21200<BR>\n" );
document.write( "y = -13440 + 21200<BR>\n" );
document.write( "y = $7760 amt in the 2nd investment<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can check this for yourself:<BR>\n" );
document.write( " .03(8960) + .045(7760) =<BR>\n" );
document.write( "and<BR>\n" );
document.write( " .045(8960) + .03(7760) = <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );