document.write( "Question 764357: 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
\n" ); document.write( "\n" ); 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.
\n" ); document.write( "Thanks \n" ); document.write( "
Algebra.Com's Answer #465394 by ramkikk66(644)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "Your question:\r\n" );
document.write( "\r\n" );
document.write( "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\n" );
document.write( "\r\n" );
document.write( "Solution:\r\n" );
document.write( "\r\n" );
document.write( "1) First we find out what is the area to be covered by each colour. The ratio of \r\n" );
document.write( "5:4:2 means that for every 5 parts of gold, you use 4 parts of blue and 2 parts\r\n" );
document.write( "of red. So in a total of (11) parts, gold is 5, blue = 4 and red = 2.\r\n" );
document.write( "\r\n" );
document.write( "2) So gold forms 5/11 of the area, blue covers 4/11 and red covers 2/11.\r\n" );
document.write( "\r\n" );
document.write( "3) Since total area is 445.5,\r\n" );
document.write( "\r\n" );
document.write( "Area covered by gold = 445.5*5/11 = 202.5 m^2\r\n" );
document.write( "Area covered by blue = 445.5*4/11 = 162.0 m^2\r\n" );
document.write( "Area covered by red  = 445.5*2/11 =  81.0 m^2\r\n" );
document.write( "\r\n" );
document.write( "(Quick check: 202.5 + 162 + 81 should total up to 445.5, which it does)\r\n" );
document.write( "\r\n" );
document.write( "4) Now since you need 1 liter of paint for 15 m^2 it is easy to find how many \r\n" );
document.write( "liters you need for each colour.\r\n" );
document.write( "\r\n" );
document.write( "Liters of gold paint = 202.5/15 = 13.5 liters\r\n" );
document.write( "Liters of blue paint = 162.0/15 = 10.8 liters\r\n" );
document.write( "Liters of red paint  =  81.0/15 =  5.4 liters\r\n" );
document.write( "\r\n" );
document.write( ":)\r\n" );
document.write( "
\n" ); document.write( "
\n" );