document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206065>Question 1206065</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ms. Burke invested 20,000 in two accounts, one yielding 7% interest and the other one yielding 11%. If she received a total of $1560 in interest at the end of the year, how much did she invest in each account?\r<BR>\n" );
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document.write( "The amount invested at 7% was <BR>\n" );
document.write( "The amount invested at 11% was </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843259 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13209)</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=843259\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The standard setup for solving the problem algebraically....:<br><BR>\n" );
document.write( "x = amount that yielded 7% interest<BR>\n" );
document.write( "20000-x = amount that yielded 11% interest<br><BR>\n" );
document.write( "The total interest earned was $1560:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.07%28x%29%2B.11%2820000-x%29=1560 ALIGN=MIDDLE  ALT=\".07%28x%29%2B.11%2820000-x%29=1560\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "I'll leave it to you to finish solving the problem by that method, using basic algebra.<br><BR>\n" );
document.write( "A quick informal method for solving any 2-part \"mixture\" problem like this, if a formal algebraic solution is not required....<br><BR>\n" );
document.write( "(1) $1560 interest on an investment of $20,000 is a return of 1560/20000 = 0.078 = 7.8%.<BR>\n" );
document.write( "(2) Using a number line if it helps, observe/calculate that 7.8% is 0.8/4.0 = 1/5 of the way from 7% to 11%.<BR>\n" );
document.write( "(3) That means 1/5 of the total was invested at the higher rate.<br><BR>\n" );
document.write( "1/5 of $20,000 is $4000.<br><BR>\n" );
document.write( "ANSWER: $4000 was invested at 11%; the other $16,000 was invested at 7%.<br><BR>\n" );
document.write( "CHECK: .11(4000)+.07(16000) = 440+1120 = 1560<br><BR>\n" );
document.write( " </SPAN>\n" );
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