document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61802>Question 61802</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Partners in a busness agreed to take out two loans totaling $35000. The yearly interest rates were 12% and 15%, and the total yearly interest was $4650. Find the amount of each loan. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42618 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=42618\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ax+By=C [use the standard form of a line]<BR>\n" );
document.write( ".12x+.15y=4650 [change percents to decimals]<BR>\n" );
document.write( "and x+y=35,000<BR>\n" );
document.write( "So,x+(35,000-x)=35,000<BR>\n" );
document.write( "Putting it all together:<BR>\n" );
document.write( ".12x+.15(35,000-x)=4650 [simplify and solve for x]\r<BR>\n" );
document.write( "\n" );
document.write( ".12+5250-.15x=4650<BR>\n" );
document.write( "-.03x=4650-5250<BR>\n" );
document.write( "-.03x=-600<BR>\n" );
document.write( "x=$20,000 invested at 12%<BR>\n" );
document.write( "y=$35,000-x=($35,000-$20,000)=$15,000 invested 15%<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Check by plugging in all of the values back into the original equation.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );