document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76645>Question 76645</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Will someone please help me with this problem?A stockbroker has money in three accounts. The interest rates on the three accounts are 9%, 10%, and 11%. If she has twice as much money invested at 10% as she has invested at 9%, three times as much at 11% as she has at 9%, and the total interest for the year is $930, how much money is invested at each rate? Enter your answer in the form  without the units. Let  be the amount of money invested at 9%,  be the amount of money invested at 10%, and  be the amount of money invested at 11%. <BR>\n" );
document.write( "Thank You,<BR>\n" );
document.write( "Sabrina \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54967 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=54967\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm not sure what the last sentence in your problem is supposed to mean.  But let's work<BR>\n" );
document.write( "the problem based on the preceding givens.  First let's say that N is the amount that she has<BR>\n" );
document.write( "invested at 9% (or in decimal form 0.09).  Then let's say that T is the amount that she <BR>\n" );
document.write( "has invested at 10% (or in decimal form 0.10).  Finally, let's say that E is the amount that<BR>\n" );
document.write( "she has invested at 11% (or in decimal form 0.11).<BR>\n" );
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document.write( "The problem says that the money invested at 10% is twice the amount invested at 9%. So we <BR>\n" );
document.write( "can say that T = 2*N.  And it also says that the money invested at 11% is three times the<BR>\n" );
document.write( "amount invested at 9%.  So we can say that E = 3*N.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The next thing we know is that the sum of all the interest earned for the year is $930.<BR>\n" );
document.write( "And we know that interest is computed by multiplying the rate times the corresponding<BR>\n" );
document.write( "amount that is invested at that rate.  So we can write that the total interest is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.09%2AN+%2B+0.10%2AT+%2B+0.11%2AE+=+930 ALIGN=MIDDLE  ALT=\"0.09%2AN+%2B+0.10%2AT+%2B+0.11%2AE+=+930\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Then since we know that T = 2*N and E = 3*N, we can substitute 2*N for T and 3*N for E to<BR>\n" );
document.write( "change the equation to:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.09%2AN+%2B+0.10%2A%282%2AN%29+%2B+0.11%2A%283%2AN%29+=+930 ALIGN=MIDDLE  ALT=\"0.09%2AN+%2B+0.10%2A%282%2AN%29+%2B+0.11%2A%283%2AN%29+=+930\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Do the multiplications on the left side to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.09%2AN+%2B+0.2%2AN+%2B+0.33%2AN+=+930 ALIGN=MIDDLE  ALT=\"0.09%2AN+%2B+0.2%2AN+%2B+0.33%2AN+=+930\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Add all the terms on the left side and the equation becomes:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.62%2AN+=+930 ALIGN=MIDDLE  ALT=\"0.62%2AN+=+930\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Finally solve for N by dividing both sides by 0.62 to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N+=+930%2F0.62+=+1500 ALIGN=MIDDLE  ALT=\"N+=+930%2F0.62+=+1500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "The amount invested at 9% is $1,500.  Twice as much, or $3,000, is invested at 10% and<BR>\n" );
document.write( "three times as much, or $4,500, is invested at 11%.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Hope this gives you some insight into how to do this problem.  Remember that to calculate<BR>\n" );
document.write( "the amount of interest you multiply the amount invested by the rate of interest that it <BR>\n" );
document.write( "earns. </SPAN>\n" );
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