document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1001684>Question 1001684</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The total number of students studying in an university is 35,000, if the certain years boys raises by 6% and girls by 4% the population will be 36760. What is the number of boys and girls. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618789 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=618789\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> b = number of boys<BR>\n" );
document.write( "g = number of girls.\r<BR>\n" );
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document.write( "b + g = 35000\r<BR>\n" );
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document.write( "1.06b + 1.04g = 36760\r<BR>\n" );
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document.write( "1.06b is the number of boys plus 6% times the number of boys.<BR>\n" );
document.write( "1.04g is the number of girls plus 4% times the number of girls.\r<BR>\n" );
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document.write( "6% is equal to 6/100 = .06<BR>\n" );
document.write( "4% is equal to 4/100 = .04\r<BR>\n" );
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document.write( "you have 2 equations that need to be solved simultaneously.\r<BR>\n" );
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document.write( "they are:\r<BR>\n" );
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document.write( "b + g = 35000<BR>\n" );
document.write( "1.06b + 1.04g = 36760\r<BR>\n" );
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document.write( "from the first equation, solve for b to get b = 35000 - g<BR>\n" );
document.write( "replace b with 35000 - g in the second equation to get:\r<BR>\n" );
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document.write( "1.06*(35000 - g) + 1.04g = 36760<BR>\n" );
document.write( "remove parentheses to get:<BR>\n" );
document.write( "1.06*35000 - 1.06g + 1.04g = 36760<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "37100 - .02g = 36760<BR>\n" );
document.write( "subtract 37100 from both sides of the equation to get:<BR>\n" );
document.write( "-.02g = 36760 - 37100<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "-.02g = -340<BR>\n" );
document.write( "divide both sides of the equation by -.02 to get:<BR>\n" );
document.write( "g = -340 / -.02 = 17000\r<BR>\n" );
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document.write( "since b + g = 35000, then b must be equal to 35000 - 17000 = 18000\r<BR>\n" );
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document.write( "b = 18000<BR>\n" );
document.write( "g = 17000<BR>\n" );
document.write( "b + g = 18000 + 17000 = 35000 - correct.\r<BR>\n" );
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document.write( "1.06b + 1.04g = 19080 + 17680 = 36760 - correct.\r<BR>\n" );
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document.write( "solution is confirmed as good.\r<BR>\n" );
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document.write( "number of boys is 18000 and number of girls is 17000.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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