document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1147775>Question 1147775</A>: <I><SPAN STYLE=\"word-break: break-all;\"> jeff invests $5500 in two different accounts. the first account paid 11%, thr second account paid 9% in intrest. at the end of the first year he had earned $525 in intrest. how much was in each account? </SPAN>\n" );
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document.write( "By algebra....<br><BR>\n" );
document.write( "The two rates are 11% (0.11) and 9% (0.09)<BR>\n" );
document.write( "The two amounts are, respectively, x and 5500-x<BR>\n" );
document.write( "The two amounts of interest are 0.11(x) and 0.09(5500-x)<BR>\n" );
document.write( "The total interest is $525:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.11%28x%29%2B0.09%285500-x%29+=+525 ALIGN=MIDDLE  ALT=\"0.11%28x%29%2B0.09%285500-x%29+=+525\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve using basic algebra  (I leave that to you)<br><BR>\n" );
document.write( "A much easier and faster way to solve \"mixture\" problems like this:<br><BR>\n" );
document.write( "(1) Determine the amounts of interest if the whole amount was invested at each rate.<BR>\n" );
document.write( "(2) Determine where the actual amount of interest lies between those two amounts.  That exactly determines how the total must be split between the two rates.<br><BR>\n" );
document.write( "$5500 all at 11% yields $605 interest<BR>\n" );
document.write( "$5500 all at 9% yields $495 interest<br><BR>\n" );
document.write( "$525 is 3/11 of the way from $495 to $605  (525-495 = 30; 605-495 = 110; 30/110 = 3/11)<br><BR>\n" );
document.write( "That means 3/11 of the total was at the higher rate.<br><BR>\n" );
document.write( "ANSWER: 3/11 of the $5500, or $1500, at 11%; the other $4000 at 9%<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( ".11(1500) + .09(4000) = 165+360 = 525\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );