document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=764357>Question 764357</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A stadium is painted gold, blue and red in the ratio 5:4:2. It is estimated that the stadium has a paintable area of 445.5m2. If 1 litre of paint covers 15m2, find the amount required of each paint colour. (in whole litres)\r<BR>\n" );
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document.write( "I have tried to work this problem out using fractions, but it has gotten me confused at the part where it has the paintable area and how much 1 litre of paint covers. I'm not sure where they fit in the equation.<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #465400 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=465400\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If one liter covers 15m^2, there is no way to get whole liters to cover 445.5m^2. The ratio is 29.7L. So let's forget that so called requirement. <BR>\n" );
document.write( "This is a problem in which we use the Nicole \"n\". So called after one of my students, Nicole.<BR>\n" );
document.write( "We simply start with the ratio 5:4:2 and multiply each ratio by a constant \"n\" and get<BR>\n" );
document.write( "(1) 5*n:4*n:2*n, wherein the ratios have not changed because n is a constant.<BR>\n" );
document.write( "Now we can add the number of liters of the three colors and equate it to the total amount of paint required or<BR>\n" );
document.write( "(2) 5*n + 4*n + 2*n = 445.5/15 or<BR>\n" );
document.write( "(3) 11*n = 29.7 or<BR>\n" );
document.write( "(4) n = 29.7/11 or<BR>\n" );
document.write( "(5) n = 2.7<BR>\n" );
document.write( "For each color we need the following number of liters;<BR>\n" );
document.write( "a) Gold = 5*n or 5*2.7 or 13.5L<BR>\n" );
document.write( "b) Blue = 4*n or 4*2.7 or 10.8L<BR>\n" );
document.write( "c) Red  = 2*n or 2*2.7 or  5.4L<BR>\n" );
document.write( "Add them up and get 29.7L, which will cover 15*29.7 or 445,5m^2<BR>\n" );
document.write( "Answer is given by a, b, and c above.<BR>\n" );
document.write( "Note that the ratio 13.5:10.8:5.4 is the same as 5:4:2, thanks to Nicole!<BR>\n" );
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