document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1149229>Question 1149229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You invested $ 4000 between two accounts paying 7 % and 9 % annual​ interest, respectively.  If the total interest earned for the year was $ 300 comma 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 #770574 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=770574\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Using the standard formal algebraic solution....<br><BR>\n" );
document.write( "7% of x, plus 9% of (4000-x) equals 300:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.07%28x%29%2B.09%284000-x%29+=+300 ALIGN=MIDDLE  ALT=\".07%28x%29%2B.09%284000-x%29+=+300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B9%284000-x%29+=+30000 ALIGN=MIDDLE  ALT=\"7x%2B9%284000-x%29+=+30000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B36000-9x+=+30000 ALIGN=MIDDLE  ALT=\"7x%2B36000-9x+=+30000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6000+=+2x ALIGN=MIDDLE  ALT=\"6000+=+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3000 ALIGN=MIDDLE  ALT=\"x+=+3000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: $3000 at 7%; $1000 at 9%.<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( ".07(3000)+.09(1000) = 210+90 = 300<br><BR>\n" );
document.write( "Here is a much faster path to solving a mixture problem like this if an algebraic solution is not required.<br><BR>\n" );
document.write( "(1) $4000 all at 7% would yield $280 interest; all at 9% would yield $360 interest.<BR>\n" );
document.write( "(2) The actual interest, $300, is 1/4 of the way from $280 to $360.  (Picture the three numbers 280, 300, and 360 on a number line. 280 to 360 is a difference of 80; 280 to 300 is a difference of 20.  20 is 1/4 of 80.)<BR>\n" );
document.write( "(3) Therefore, 1/4 of the total was invested at the higher rate.<br><BR>\n" );
document.write( "ANSWER: 1/4 of $4000, or $1000, at 9%; the other $3000 at 7%.<br><BR>\n" );
document.write( "Obviously the same answer as before....<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );