document.write( "Question 1071263: A chemist has a solution that is 65% acid and another that is 45% acid. How many liters of each should he mix to obtain 300 liters of a solution that is 60% acid? \n" ); document.write( "
Algebra.Com's Answer #686213 by addingup(3677)![]() ![]() You can put this solution on YOUR website! one is 65%, let the amount be x \n" ); document.write( "the other is 45%, and since the total is 300, this amount will be 300-x \n" ); document.write( "---------------- \n" ); document.write( "0.65x+0.45(300-x) = 0.60(300) \n" ); document.write( "0.65x+135-0.45x = 180 \n" ); document.write( "0.20x = 45 \n" ); document.write( "x = 225 \n" ); document.write( "He needs 225 liters of the 65% solution and 300-225 = 75 liters of the 45% solution. \n" ); document.write( "---------------------- \n" ); document.write( "common sense quick check: What is the end result he's looking for? A 60% solution. Which is closest to 60, 65 or 45? It's 65, so it makes sense that you would need a larger amount of the 65% solution. \n" ); document.write( " |