document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032329>Question 1032329</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Q: The simple interest on a certain principal for 9 months at 4% rate is 150$ less than the interest on the same principal for 16 months at 6% rate.What is the principal?\r<BR>\n" );
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document.write( "Sol please! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #646967 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=646967\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> simple interest = p * r * n\r<BR>\n" );
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document.write( "p is the principal<BR>\n" );
document.write( "i is the interest rate per year.<BR>\n" );
document.write( "n is the number of years.\r<BR>\n" );
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document.write( "4% interest per year for 9 months would be equal to p * .04 * 9/12 years.\r<BR>\n" );
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document.write( "6% interest per year for 16 months would be equal to p * .06 * 16/12 years.\r<BR>\n" );
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document.write( "you are given that the 4% interest for 9 months is 150 dollars less than the 6% interest for 16 months.\r<BR>\n" );
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document.write( "your equation is:\r<BR>\n" );
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document.write( "p * .04 * 9/12 = p * .06 * 16/12 - 150\r<BR>\n" );
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document.write( "simplify to get .03 * p = .08 * p - 150\r<BR>\n" );
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document.write( "add 150 to both sides of the equation and subtract .03 * p from both sides of the equation to get:\r<BR>\n" );
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document.write( "150 = .08 * p - .03 * p\r<BR>\n" );
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document.write( "simplify to get 150 = .05 * p\r<BR>\n" );
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document.write( "divide both sides of the equation by .05 to get 150 / .05 = p.\r<BR>\n" );
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document.write( "simplify to get 3000 = p\r<BR>\n" );
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document.write( "your principal is 3000.\r<BR>\n" );
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document.write( ".04 * 3000 * 9/12 = 90 dollars\r<BR>\n" );
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document.write( ".06 * 3000 * 16/12 = 240 dollars\r<BR>\n" );
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document.write( "240 - 90 = 150\r<BR>\n" );
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document.write( "solution looks good.\r<BR>\n" );
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document.write( "the interest on the 4% loan for 9 months is 150 dollars less than the interest on the 6% loan for 16 months.<BR>\n" );
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