document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119238>Question 1119238</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this interest problem, I'm not sure what system of equations to write for it. \r<BR>\n" );
document.write( "\n" );
document.write( "\"Half of Roberta’s money is invested at 12% interest, one third of her money is at 11% and the remainder is invested at 9%.  Her total annual income from the investments is 1,340.  How much has Roberta invested altogether?\"\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734716 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=734716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"Half of Roberta’s money is invested at 12% interest, one third of her money is at 11% and the remainder is invested at 9%.<BR>\n" );
document.write( " Her total annual income from the investments is 1,340.<BR>\n" );
document.write( " How much has Roberta invested altogether?\"<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let A = total amt invested<BR>\n" );
document.write( "Find the remainder fraction, using common denominator, 6<BR>\n" );
document.write( "1 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F6 ALIGN=MIDDLE  ALT=\"6%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F6 ALIGN=MIDDLE  ALT=\"3%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F6 ALIGN=MIDDLE  ALT=\"2%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "An equation<BR>\n" );
document.write( " .12(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F6 ALIGN=MIDDLE  ALT=\"3%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >A) + .11(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F6 ALIGN=MIDDLE  ALT=\"2%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >A) + .09(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >A) = 1340<BR>\n" );
document.write( "Multiply by 6, cancel the denominators<BR>\n" );
document.write( ".36A + .22A + .09A = 8040<BR>\n" );
document.write( ".67A = 8040<BR>\n" );
document.write( "A = 8040/.67<BR>\n" );
document.write( "A = $12000 invested<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can check this by finding the sum of the actual return on each amt <BR>\n" );
document.write( "6000, 4000, 2000 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );