document.write( "Question 266417: different shades of paint color are formed by mixing different percents of 2 or more primary colors such as blue and yellow. Suppose you want to paint your roof with a paint mixture that is 40% yellow and 60% blue. How many pints of pure 100% blue paint and 50% yellow and 50% blue paint mix should be combined to make 12 pints of a 40% yellow and 60% blue paint mix?\r
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Algebra.Com's Answer #195781 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! different shades of paint color are formed by mixing different percents of 2 or more primary colors such as blue and yellow. \n" ); document.write( " Suppose you want to paint your roof with a paint mixture that is 40% yellow and 60% blue. \n" ); document.write( "How many pints of pure 100% blue paint and 50% yellow and 50% blue paint mix should be combined to make 12 pints of a 40% yellow and 60% blue paint mix? \n" ); document.write( ": \n" ); document.write( "Write equation in terms of percent blue \n" ); document.write( ": \n" ); document.write( "Let x = amt of 100% Blue \n" ); document.write( "then \n" ); document.write( "(12-x) = amt of 50% blue \n" ); document.write( ": \n" ); document.write( "1.0x + .5(12-x) = .6(12) \n" ); document.write( "1x + 6 - .5x = 7.2 \n" ); document.write( "1x - .5x = 7.2 - 6 \n" ); document.write( ".5x = 1.2 \n" ); document.write( "x = \n" ); document.write( "x = 2.4 pints of 100% blue \n" ); document.write( "and \n" ); document.write( "12 - 2.4 = 9.6 pints of 50% blue \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution, using percent yellow \n" ); document.write( "0(2.4) .5(9.6) = .4(12) \n" ); document.write( "0 + 4.8 = 4.8 \n" ); document.write( " |