document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194955>Question 1194955</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mr. and Mrs. Jackson invested some money at 6% simple interest and some money at 10% simple interest. In the second investment they put $1000.00 more than they put in the first. If the income from both investments for 1 year was $340.00, then how much did they 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 #827256 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=827256\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = amount invested at 6%.<BR>\n" );
document.write( "x + 1000 = amount invested at 10%.<BR>\n" );
document.write( ".06x + .1 * (x + 1000) = 340<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( ".06x + .1x + 100 = 340<BR>\n" );
document.write( "subtract 100 from both sides of the equation and combine like terms to get:<BR>\n" );
document.write( ".16x = 240<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = 240/.16 = 24000/16 = 3000 / 2 = 1500.<BR>\n" );
document.write( ".06 * 1500 + .1 * (1500 + 1000) = .06 * 1500 + .1 * 2500 = 90 + 250 = 340.<BR>\n" );
document.write( "this confirms the value of x = 1500 is correct.<BR>\n" );
document.write( "solution is they invested 1500 at 6% and 2500 at 10%.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );