document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156044>Question 1156044</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You invested $ 4000 between two accounts paying 2 % and 7 % annual​ interest, respectively.  If the total interest earned for the year was $ 230, how much was invested 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 #778767 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=778767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A traditional algebraic approach....<br><BR>\n" );
document.write( "x = amount at 2%<BR>\n" );
document.write( "4000-x = amount at 7%<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.02%28x%29%2B.07%284000-x%29+=+230 ALIGN=MIDDLE  ALT=\".02%28x%29%2B.07%284000-x%29+=+230\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve using basic algebra (straightforward, but it takes time)....<br><BR>\n" );
document.write( "Here is how I prefer to solve two-part \"mixture\" problems like this.  It uses only logical reasoning and a few simple mental calculations -- as opposed to writing and solving an algebraic equation.<br><BR>\n" );
document.write( "$4000 all at 2% would yield $80 interest<BR>\n" );
document.write( "$4000 all at 7% would yield $280 interest<BR>\n" );
document.write( "The actual interest of $230 is 3/4 of the way from $80 to $280 (80 to 280 is 200; 80 to 230 is 150; 150/200 = 3/4)<BR>\n" );
document.write( "Therefore 3/4 of the $4000 was invested at the higher rate.<br><BR>\n" );
document.write( "ANSWER: 3/4 of the $4000, or $3000, was invested at 7%; the remaining $1000 was invested at 2%.<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( ".07(3000)+.02(1000) = 210+20 = 230<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );