document.write( "Question 755335: I have a chemical that is a 40% concentrate, (40% active ingredient 60% water). I need to make one gallon of product that is 99.50% water and .50% of the active chemical. \n" ); document.write( "
Algebra.Com's Answer #459621 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! I have a chemical that is a 40% concentrate, \n" ); document.write( " (40% active ingredient 60% water). \n" ); document.write( " I need to make one gallon of product that is 99.50% water and .50% of \n" ); document.write( " the active chemical \n" ); document.write( ": \n" ); document.write( "Let w = amt of pure water required \n" ); document.write( "then \n" ); document.write( "(1-w) = amt of original mixture required \n" ); document.write( ": \n" ); document.write( "Write a mixture equation based on the amt of water, (decimal equiv) \n" ); document.write( ".60(1-w) + w = .995(1) \n" ); document.write( ".6 - .6w + w = .995 \n" ); document.write( "-.6w + 1w = .995 - .6 \n" ); document.write( ".4w = .395 \n" ); document.write( "w = .395/.4 \n" ); document.write( "w = .9875 gal of water \n" ); document.write( "and \n" ); document.write( "1 - .9875 = .0125 gal of the original mixture \n" ); document.write( ": \n" ); document.write( "It may be easier to have these two amts in ounces, (32 oz = 1 qt) \n" ); document.write( ".9875(32) = 31.6 oz of water \n" ); document.write( ".0125(32) = .4 oz of original mixture \n" ); document.write( " |