document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1003369>Question 1003369</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this. I've done similar problems when I was just calculating for how much to invest of two different percentages, but having to calculate the total interest is throwing me off:\r<BR>\n" );
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document.write( "Wendy was awarded a volleyball scholarship to the University of Michigan, so on graduation her parents gave her the $17,000, they had saved for her college tuition. She opted to invest some money in a privately held company that pays 10% per a year, and evenly split the remaining money between a money market account yielding 2% and a high risk stock that yielded 40%. At the end of the first year she had $19,910 total. How much did she invest in each of the three? <BR>\n" );
document.write( "_____ @ 10%<BR>\n" );
document.write( "______@ 2%<BR>\n" );
document.write( "______@ 40% </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #620135 by </B><A HREF=/tutors/aboutme.mpl?userid=maxitee><B>maxitee(11)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=maxitee><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=620135\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The solution is derive an equation and link two variables together. See below.\r<BR>\n" );
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document.write( "Let's call the amount invested for the 10%, A<BR>\n" );
document.write( "Let's call the 2%, B and the 40% C.\r<BR>\n" );
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document.write( "   From the question, B = C.\r<BR>\n" );
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document.write( "If she made $19,910 at the end of the first year. We try to sum up all the investments that gave her the returns. Using the above A, B and C. We have.\r<BR>\n" );
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document.write( "(10% of A plus A)***THIS IS EVERYTHING SHE GETS FROM THE INVESTMENT, i.e we add her profit(10%) plus her initial investment ******\r<BR>\n" );
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document.write( "   Applying the above for all other investments we have.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810A%2F100+%2B+A%29+%2B+%282B%2F100+%2B+B%29+%2B+%2840C%2F100+%2B+C%29+=+%2419910+ ALIGN=MIDDLE  ALT=\"%2810A%2F100+%2B+A%29+%2B+%282B%2F100+%2B+B%29+%2B+%2840C%2F100+%2B+C%29+=+%2419910+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Being that B = C, we can substitute B for C. After doing that and simplifying the above equation we have.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810A%2B100A+%2B+2B+%2B+100B+%2B+40B+%2B+100B%29%2F100+=+%2419910 ALIGN=MIDDLE  ALT=\"%2810A%2B100A+%2B+2B+%2B+100B+%2B+40B+%2B+100B%29%2F100+=+%2419910\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's call the above equation (i)\r<BR>\n" );
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document.write( "   Remember that she invested all her money. Therefore if we sum all the invested amounts, A B and C we will equate it to her initial $17,000\r<BR>\n" );
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document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+B+%2B+C+=+%2417000 ALIGN=MIDDLE  ALT=\"A+%2B+B+%2B+C+=+%2417000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Being that B and C are the same we have a new equation from the above as.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+2B+=+%2417000 ALIGN=MIDDLE  ALT=\"A+%2B+2B+=+%2417000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   We shall call the above equation (ii).<BR>\n" );
document.write( "If we make A subject of formula in equation (ii) we have A = 17,000 - 2B.\r<BR>\n" );
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document.write( "So we simply substitute the value of A into equation (i) above. See the result.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=110%2817000-2B%29+%2B+242B+=+1991000 ALIGN=MIDDLE  ALT=\"110%2817000-2B%29+%2B+242B+=+1991000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From the above B will equate = $5,500\r<BR>\n" );
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document.write( "    If B is $5,500 C is equally $5,500 which puts A as $6,000.\r<BR>\n" );
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document.write( "In conclussion, <BR>\n" );
document.write( "$6,000 @ 10%<BR>\n" );
document.write( "$5,500 @ 2%<BR>\n" );
document.write( "$5,500 @ 40% </SPAN>\n" );
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