document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208045>Question 1208045</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mr B invested p30000:part at 5% and part at 8%.The total interest on the investment was p2100. How much did she invest at each rate.  </SPAN>\n" );
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document.write( "First a typical formal algebraic solution....<br><BR>\n" );
document.write( "x = amount invested at 5%<BR>\n" );
document.write( "30000-x = amount invested at 8%<br><BR>\n" );
document.write( "The total interest earned was 2100:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.05%28x%29%2B.08%2830000-x%29=2100 ALIGN=MIDDLE  ALT=\".05%28x%29%2B.08%2830000-x%29=2100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.05x%2B2400-.08x=2100 ALIGN=MIDDLE  ALT=\".05x%2B2400-.08x=2100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-.03x=-300 ALIGN=MIDDLE  ALT=\"-.03x=-300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=300%2F.03=10000 ALIGN=MIDDLE  ALT=\"x=300%2F.03=10000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "x = p10000 invested at 5%<BR>\n" );
document.write( "30000-x = p20000 invested at 8%<br><BR>\n" );
document.write( "And then a fast and easy informal method for solving any 2-part \"mixture\" problem like this....<br><BR>\n" );
document.write( "2100 interest on an investment of 30000 is an interest rate of 2100/30000 = .07 = 7%<BR>\n" );
document.write( "7% is 2/3 of the way from 5% to 8% (look at the three numbers 5, 7, and 8 on a number line if it helps)<BR>\n" );
document.write( "That means 2/3 of the total p30000 was invested at the higher rate<br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "2/3 of p30000 = p20000 invested at 8%<BR>\n" );
document.write( "1/3 of p30000 = p10000 invested at 5%<br><BR>\n" );
document.write( " </SPAN>\n" );
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