document.write( "Question 751088: good day my given problem is this\r
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document.write( "To produce 100 liters that is 17% acid, Liza took some amount from a 40% acid solution and a 60% acid solution then added 70 liters of pure water to the resulting mixture. How much of the 40% acid solution was used?\r
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document.write( "thank you in advance :) \n" );
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Algebra.Com's Answer #456980 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! To produce 100 liters that is 17% acid, Liza took some amount from a 40% acid solution and a 60% acid solution then added 70 liters of pure water to the resulting mixture. How much of the 40% acid solution was used? \r \n" ); document.write( "\n" ); document.write( "100 * .17 = 17 liters of acid\r \n" ); document.write( "\n" ); document.write( "100 - 70 = 30 liters of the 60% and 40% solutions\r \n" ); document.write( "\n" ); document.write( "let x be the amount of 40% solution, then 30-x is 60%solution, so we have\r \n" ); document.write( "\n" ); document.write( ".40x + .60(30-x) = 17 \n" ); document.write( ".40x + 18 - .60x = 17 \n" ); document.write( "-.20x = -1 \n" ); document.write( "(1/5)x = 1 \n" ); document.write( " x = 5\r \n" ); document.write( "\n" ); document.write( "so 5 liters of the 40% solution was used\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |