document.write( "Question 577716: Five gallons of a light green latex paint that is 20% yellow paint are combined with a darker green latex paint that is 40% yellow paint. How many gallons of the darker green paint must be used to create a green paint that is 25% yellow paint? \n" ); document.write( "
Algebra.Com's Answer #370324 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Five gallons of a light green latex paint that is 20% yellow paint are combined with a darker green latex paint that is 40% yellow paint. \n" ); document.write( " How many gallons of the darker green paint must be used to create a green paint that is 25% yellow paint? \n" ); document.write( ": \n" ); document.write( "Let x = amt of 40% paint required to result in a 25% mixture \n" ); document.write( ": \n" ); document.write( "A typical mixture equation \n" ); document.write( ".20(5) + .40x = .25(5+x) \n" ); document.write( "1 + .4x = 1.25 + .25x \n" ); document.write( ".4x - .25x = 1.25 - 1 \n" ); document.write( ".15x = .25 \n" ); document.write( "x = \n" ); document.write( "x = 1 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this \n" ); document.write( ".2(5) + .4(1.67) = .25(5+1.67) \n" ); document.write( "1 + .668 = .25(6.67) \n" ); document.write( "1.668 ~ 1.6675; confirms our solution \n" ); document.write( " |