document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172239>Question 1172239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the problems in one variable.\r<BR>\n" );
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document.write( "A company decided to invest P100, 000 which was partly invested on a bank account paying 8% per annum and the remainder was invested in stocks paying 11% per annum. If the total yearly interest from the two investments is P10, 100, how much was invested in each? 3 points. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797216 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797216\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "x = amount invested at 8%<BR>\n" );
document.write( "100000-x = amount invested at 11%<br><BR>\n" );
document.write( "The total interest is 10100:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.08%28x%29%2B.11%28100000-x%29+=+10100 ALIGN=MIDDLE  ALT=\".08%28x%29%2B.11%28100000-x%29+=+10100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve using basic algebra....<br><BR>\n" );
document.write( "Doing the above is a good exercise in solving problems using formal algebra.<br><BR>\n" );
document.write( "For a quick and easy way to answer a \"mixture\" problem like this, you can do this:<br><BR>\n" );
document.write( "(1) The 100,000 all invested at 8% would earn 8000 interest; all at 11% would earn 11,000 interest; the actual interest is 10,100.<BR>\n" );
document.write( "(2) View the three numbers on a number line and use simple calculations to determine that 10,100 is 7/10 of the way from 8000 to 11,000.<BR>\n" );
document.write( "(3) That means 7/10 of the total 100,000 was invested at the higher rate.<br><BR>\n" );
document.write( "ANSWER: 7/10 of the total 100,000, or 70,000 was invested at 11%; the other 30,000 at 8%.<br><BR>\n" );
document.write( "CHECK: .11(70,000)+.08(30,000) = 7700+2400 = 10,100<br><BR>\n" );
document.write( " </SPAN>\n" );
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