document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=509643>Question 509643</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having a problem setting this question up to solve \r<BR>\n" );
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document.write( "Jolene invests her savings in two bank accounts, one paying 3 percent and the other paying 8 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 6076 dollars. How much did she invest at each rate?<BR>\n" );
document.write( " thanks :)<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 #341544 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=341544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let S = the total amount of Jolene's savings.<BR>\n" );
document.write( "She invests two thirds of S in the bank that pays 3% interest and the remaining one third of S in the bank that pays 8% interest.<BR>\n" );
document.write( "So we can write the equation that relates the interest amounts earned at each bank to the total amount of interest earned ($6,076).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29S%280.03%29+%2B+%281%2F3%29S%280.08%29+=+6076 ALIGN=MIDDLE  ALT=\"%282%2F3%29S%280.03%29+%2B+%281%2F3%29S%280.08%29+=+6076\"   DISABLED_style= \"max-width:90%; height:auto;\" > It will make the calculations a little easier if we change the interest rates to fractions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >% = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.03 ALIGN=MIDDLE  ALT=\"0.03\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F100 ALIGN=MIDDLE  ALT=\"3%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" >%=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.08+=+8%2F100 ALIGN=MIDDLE  ALT=\"0.08+=+8%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29S%283%2F100%29%2B%281%2F3%29S%288%2F100%29+=+6076 ALIGN=MIDDLE  ALT=\"%282%2F3%29S%283%2F100%29%2B%281%2F3%29S%288%2F100%29+=+6076\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now simplify the left side of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2S%2F100+%2B+8S%2F300+=+6076 ALIGN=MIDDLE  ALT=\"2S%2F100+%2B+8S%2F300+=+6076\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add the fractions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286S%2B8S%29%2F300+=+6076 ALIGN=MIDDLE  ALT=\"%286S%2B8S%29%2F300+=+6076\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14S%2F300+=+6076 ALIGN=MIDDLE  ALT=\"14S%2F300+=+6076\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 300.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14S+=++1822800 ALIGN=MIDDLE  ALT=\"14S+=++1822800\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 14.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+130200 ALIGN=MIDDLE  ALT=\"S+=+130200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Jolene's total invested savings is:<BR>\n" );
document.write( "$130,200<BR>\n" );
document.write( "Two thirds of this are invested at 3%, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.03%282%2F3%29%28130200%29+=+%283%2F100%29%282%2F3%29%28130200%29 ALIGN=MIDDLE  ALT=\"0.03%282%2F3%29%28130200%29+=+%283%2F100%29%282%2F3%29%28130200%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F100%29%28130200%29+=+2604 ALIGN=MIDDLE  ALT=\"%282%2F100%29%28130200%29+=+2604\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "$2,604 interest was earned at 3% per annum.<BR>\n" );
document.write( "One third of $130,200 was invested at 8%, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.8%281%2F3%29%28130200%29+=+%288%2F100%29%281%2F3%29%28130200%29%29 ALIGN=MIDDLE  ALT=\"0.8%281%2F3%29%28130200%29+=+%288%2F100%29%281%2F3%29%28130200%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2F300%29%28130200%29+=+3472 ALIGN=MIDDLE  ALT=\"%288%2F300%29%28130200%29+=+3472\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "$3,472 interest was earned at 8% per annum.<BR>\n" );
document.write( "The the total interest is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2604%2B3472+=+6076 ALIGN=MIDDLE  ALT=\"2604%2B3472+=+6076\"   DISABLED_style= \"max-width:90%; height:auto;\" > = $6,076 </SPAN>\n" );
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