document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=537454>Question 537454</A>: <I><SPAN STYLE=\"word-break: break-all;\"> John invested a portion of $15,000 at 10% annual interest and the rest at 6% annual interest. If he earned $1,260 for the year from the two accounts, how much did he invest at 10%? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #352877 by </B><A HREF=/tutors/aboutme.mpl?userid=lmeeks54><B>lmeeks54(111)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lmeeks54><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=lmeeks54><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=352877\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let H = # $ invested at 10%<BR>\n" );
document.write( "Let L = # $ invested at 6%<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "H + L = 15,000<BR>\n" );
document.write( ".10H + .06L = 1,260<BR>\n" );
document.write( "...<BR>\n" );
document.write( "With a system of two equations with two unknowns, rewrite one of the equations so that it is written for one unknown in terms of the other unknown.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "H + L = 15,000<BR>\n" );
document.write( "H = 15,000 - L<BR>\n" );
document.write( "...<BR>\n" );
document.write( "substitute H = 15,000 - L into the 2nd equation:<BR>\n" );
document.write( ".10(15,000 - L) + .06L = 1,260<BR>\n" );
document.write( "...<BR>\n" );
document.write( "simplify by combining like terms:<BR>\n" );
document.write( "1,500 - .10L + .06L = 1,260<BR>\n" );
document.write( "...<BR>\n" );
document.write( "subtract 1,500 from both sides:<BR>\n" );
document.write( "-.04L = -240<BR>\n" );
document.write( "...<BR>\n" );
document.write( "divide both sides by -.04:<BR>\n" );
document.write( "L = $6,000<BR>\n" );
document.write( "...<BR>\n" );
document.write( "This represents the amount of money invested at 6%.  To find the amount of money invested at 10%, go back to our H = 15,000 - L equality and solve for H:<BR>\n" );
document.write( "...<BR>\n" );
document.write( "H = 15,000 - 6,000<BR>\n" );
document.write( "H = $9,000<BR>\n" );
document.write( "...<BR>\n" );
document.write( "H = $9,000 equals the amount of money invested at 10%.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Check your work by inserting H = 9,000 and L = 6,000 into the 2nd equation:<BR>\n" );
document.write( ".10(9,000) + .06(6,000) = 1,260<BR>\n" );
document.write( "900 + 360 = 1,260<BR>\n" );
document.write( "1,260 = 1,260 checks...<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Lee </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );