document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186227>Question 1186227</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bank loaned out P120000, part of it at the rate of 8% per year and the rest of the rate of 18% per year.If the interest recieved total P10000,how much was loaned at 8%?<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 #817102 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</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=817102\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A standard formal algebraic solution....<br><BR>\n" );
document.write( "x = amount at 8%<BR>\n" );
document.write( "120000-x = amount at 18%<br><BR>\n" );
document.write( "The total interest was 10000:<br><BR>\n" );
document.write( ".08(x)+.18(120000-x)=10000<br><BR>\n" );
document.write( "Solve using basic algebra; I leave that to you.<br><BR>\n" );
document.write( "If a formal algebraic solution is not required, here is a quick way to solve any 2-part mixture problem like this using a bit of mental arithmetic.<br><BR>\n" );
document.write( "(1) Calculate that 10000 interest on a loan of 120000 is a percentage rate of 8 1/3%.<BR>\n" );
document.write( "(2) Picture the three percentage rates 8, 8 1/3, and 18 on a number line and observe/calculate that 8 1/3 is (1/3)/10 = 1/30 of the way from 8 to 18.<BR>\n" );
document.write( "(3) That means 1/30 of the total was loaned at the higher rate.<br><BR>\n" );
document.write( "ANSWERS: 1/30 of 120000, or 4000 was loaned at 18%; the other 116000 at 8%<br><BR>\n" );
document.write( "CHECK: .08(116000)+.18(4000) = 9280+720=10000<br><BR>\n" );
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