document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184710>Question 1184710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man invested  part of P20,000 at 18% and the rest at 16%. The annual income from 16% investment was P620 less than three times the annual income from 18% investment. How much did he invest at 18%? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #815343 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=815343\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x equals the investment at 18%<BR>\n" );
document.write( "y equals the investment at 16%\r<BR>\n" );
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document.write( "the annual income from the 16% investment is equal to 3 times the annual investment from the 18% income minus 620.\r<BR>\n" );
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document.write( " your two equations that need to be solved simultaneously are:\r<BR>\n" );
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document.write( "x + y = 20,000<BR>\n" );
document.write( ".18x + .16y = .18x + 3 * .18x - 620\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "x + y = 20,000<BR>\n" );
document.write( ".18x + .16y = .72x - 620\r<BR>\n" );
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document.write( "subtract .72x from both sides of the second equation and leave the first equation as is to get:\r<BR>\n" );
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document.write( "x + y = 20,000<BR>\n" );
document.write( ".18x - .72x + .16y = -620\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "x + y = 20,000<BR>\n" );
document.write( "-.54x + .16y = -620\r<BR>\n" );
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document.write( "multiply both sides of the first equation by .54 and leave the second equation as is to get:\r<BR>\n" );
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document.write( ".54x + .54y = 10,800<BR>\n" );
document.write( "-.54x + .16y = -620\r<BR>\n" );
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document.write( "add both equations together to get:\r<BR>\n" );
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document.write( ".7y = 10180.\r<BR>\n" );
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document.write( "solve for y to get:\r<BR>\n" );
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document.write( "y = 10180 / .7 = 14,542.85714\r<BR>\n" );
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document.write( "solve for x to get:\r<BR>\n" );
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document.write( "x = 20,000 - y = 5,457.142857.\r<BR>\n" );
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document.write( "the interest on the value of x is equal to .18 * 5,457.142857 = 982.2857143.\r<BR>\n" );
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document.write( "the interest on the value of y is equal to .16 * 14,542.85714 = 2,326.857143.\r<BR>\n" );
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document.write( "multiply the interest on the value of x by 3 and subtract 620 from it to get:\r<BR>\n" );
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document.write( "3 * the interest on x - 620 = 3 * 982.2857143 -620 = 2326.857243.\r<BR>\n" );
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document.write( "solution looks good.\r<BR>\n" );
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document.write( "solution is:\r<BR>\n" );
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document.write( "he invested 5,457.142857 at 18%.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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