document.write( "Question 211083: we wish to obtain a 40% solution of nitric acid by mixing a 20% solution and a 70% solution of the acid. what percentages of the final solution should be taken from the 20% and 70% solutions?\r
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document.write( "thanks for the help \n" );
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Algebra.Com's Answer #159607 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! we wish to obtain a 40% solution of nitric acid by mixing a 20% solution and a 70% solution of the acid. \n" ); document.write( "what percentages of the final solution should be taken from the 20% and 70% solutions \n" ); document.write( ": \n" ); document.write( "It does not give the amt of final solution to be made. \n" ); document.write( "Assume it is 100 units, easy to change amt to per cent. \n" ); document.write( ": \n" ); document.write( "Let x = amt of 70% solution used \n" ); document.write( "then \n" ); document.write( "(100-x) = amt of 20% solution \n" ); document.write( ": \n" ); document.write( "A typical mixture equation; \n" ); document.write( ".7x + .2(100 - x) = .4(100) \n" ); document.write( ".7x + 20 - .2x = 40 \n" ); document.write( ".7x - .2x = 40 - 20 \n" ); document.write( ".5x = 20 \n" ); document.write( "x = \n" ); document.write( "x = 40 units of 70% solution \n" ); document.write( "and \n" ); document.write( "100 - 40 = 60 units of 20% solution \n" ); document.write( ": \n" ); document.write( "We can say we will take 40% from the 70% solution \n" ); document.write( "and take 60% from the 20% solution \n" ); document.write( " |