document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=909140>Question 909140</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hydroelectric generating plant and a coal-fired generating plant together supply a city of 269000 people, with the hydro plant producing 1.75 times the power of the coal plant. How many people could each service alone?\r<BR>\n" );
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document.write( "Do not round intermediate results. Round only final answers. Round to the nearest integer.<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 #551692 by </B><A HREF=/tutors/aboutme.mpl?userid=JulietG><B>JulietG(1812)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JulietG><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=JulietG><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=551692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> H + C = 269,000<BR>\n" );
document.write( "H = 1.75C (which is doubtful unless the coal plant is very inefficient and the hydro plant is near Niagara or some other huge source, but that's for another day)<BR>\n" );
document.write( "Substitute the value of H from the bottom equation into the top.<BR>\n" );
document.write( "H + C = 269,000<BR>\n" );
document.write( "1.75C + C = 269,000<BR>\n" );
document.write( "2.75C = 269,000<BR>\n" );
document.write( "Divide each side by 2.75<BR>\n" );
document.write( "C = 97818.181818...<BR>\n" );
document.write( "rounded to 97,818 people<BR>\n" );
document.write( "H serves 1.75 * 97,818, or 171,182 people<BR>\n" );
document.write( "Add together: 97818 + 17182 to get 269,000 </SPAN>\n" );
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