document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1149483>Question 1149483</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Luis invested $6000 in two different accounts. One earned 4% and the other earned 7%. He earned a total of $375 in  interest in one year. How much was  invested 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 #770831 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=770831\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "If an algebraic solution is not required, then compare the amount of work required by this alternative method with that required with the standard algebraic solution shown by the other tutor.<br><BR>\n" );
document.write( "$6000 all at 4% --> $240 interest<BR>\n" );
document.write( "$6000 split between 4% and 7% --> $375 interest<BR>\n" );
document.write( "$6000 all at 7% --> $420 interest<br><BR>\n" );
document.write( "$375 is 3/4 of the way from $240 to $420.  ($240 to $375 is $135; $240 to $420 is $180; 135/180 = 3/4.  Picture the three numbers on a number line if it helps you see the 3/4.)<br><BR>\n" );
document.write( "That means 3/4 of the investment is at the higher rate.<br><BR>\n" );
document.write( "ANSWER: 3/4 of $6000, or $4500, at 7%; the other $1500 at 4%.<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( ".07(4500)+.04(1500) = 315+60 = 375<br><BR>\n" );
document.write( " </SPAN>\n" );
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