document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=211194>Question 211194</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man invested $6,000, part of it at 5% simple intrest and the rest at 7% simple intrest. If his annual intrest income is $372, how much did he invest in 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 #159571 by </B><A HREF=/tutors/aboutme.mpl?userid=math+problem+solving><B>math problem solving(30)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math+problem+solving><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=159571\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the amount of money invested at 5%.<BR>\n" );
document.write( "Then the amount invested at 7% is 6000 - x.<BR>\n" );
document.write( "The interest earned from the money invested at 5% is x*5%<BR>\n" );
document.write( "The interest earned from the money invested at 7% is (6000 - x)*7%<BR>\n" );
document.write( "As the total interest earned from the two investments is given as $372, we have:<BR>\n" );
document.write( "x*5% + (6000 - x)*7% = 372<BR>\n" );
document.write( "Solving for x, we get<BR>\n" );
document.write( "5x + 7(6000 - x) = 37200 (multiply both sides by 100)<BR>\n" );
document.write( "5x + 42000 - 7x = 37200<BR>\n" );
document.write( "-2x + 42000 = 37200<BR>\n" );
document.write( "-2x = -4800<BR>\n" );
document.write( "x = 2400<BR>\n" );
document.write( "So $2,400 is invested at 5%, and $6,000 - $2,400 = $3,600 is invested at 7%.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );