document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=185362>Question 185362</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533520/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Fearful of bank failure, Norman split his life savings of $60,000 among three banks. He received 5%, 6%, and 7% on three deposits. In the account earning 7% interest, he deposited twice as much as in the account earning 5% interest. If his total earnings were $3,760, then how much did he deposit in each account? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139057 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=139057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Norman split his life savings of $60,000 among three banks.<BR>\n" );
document.write( "x + y + z = 60000<BR>\n" );
document.write( "----------------------- <BR>\n" );
document.write( "He received 5%, 6%, and 7% on three deposits.<BR>\n" );
document.write( "0.05x + 0.06y + 0.07z = 3700<BR>\n" );
document.write( "-------------------------------------- <BR>\n" );
document.write( "In the account earning 7% interest, he deposited twice as much as in the account earning 5% interest.<BR>\n" );
document.write( "z = 2x <BR>\n" );
document.write( "If his total earnings were $3,760, then how much did he deposit in each account?<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Rearrange the equations and make some modifications to get:<BR>\n" );
document.write( "x  +  y  +  z = 60000<BR>\n" );
document.write( "5x + 6y  + 7z = 376000<BR>\n" );
document.write( "2x + 0   -  z = 0<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Solve by any method you know to get:<BR>\n" );
document.write( "x = 16000<BR>\n" );
document.write( "y = 12000<BR>\n" );
document.write( "z = 32000<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );