document.write( "Question 48654: A chemist has a 90% solution of sulfuric acid and a 70% solution of the same acid. How many gallons of each must be mixed in order to make 200 gallons of a 75% solution\r
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document.write( "Thank you! \n" );
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Algebra.Com's Answer #32199 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A chemist has a 90% solution of sulfuric acid and a 70% solution of the same acid. How many gallons of each must be mixed in order to make 200 gallons of a 75% solution \n" ); document.write( "----------------- \n" ); document.write( "90% solution DATA: \n" ); document.write( "amount= x gals. ; amount of active ingredient= 0.90x gals \n" ); document.write( "------------------- \n" ); document.write( "70% solution DATA: \n" ); document.write( "amount= 200-x gals ; amount of active ingredient= 0.70(200-x)=140-0.7 gals \n" ); document.write( "-------------------------- \n" ); document.write( "Mixture DATA: \n" ); document.write( "amount = 200 gals ; amount of acive ingredient=0.75(200)= 150 gals \n" ); document.write( "------------------------ \n" ); document.write( "EQUATION: \n" ); document.write( "active + active = active \n" ); document.write( "0.9x + 140-0.7x=150 \n" ); document.write( "0.2x=10 \n" ); document.write( "x=50 gals (Amount of 90% solution) \n" ); document.write( "200-x=150 gals. (amount of 70% solution) \n" ); document.write( "---------------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |