document.write( "Question 380155: A chemist needs 12 liters of a 40% alcohol solution. She must mix a 20% solution and a 50% solution. How many liters of each well be required to obtain what she needs? \n" ); document.write( "
Algebra.Com's Answer #269814 by mananth(16946)![]() ![]() You can put this solution on YOUR website! A chemist needs 12 liters of a 40% alcohol solution. She must mix a 20% solution and a 50% solution. How many liters of each well be required to obtain what she needs? \n" ); document.write( "... \n" ); document.write( "20% solution .............x liters \n" ); document.write( "50% solution.............12-x liters \n" ); document.write( "40%.......................12 liters (requirement) \n" ); document.write( "... \n" ); document.write( "I have not converted the percentage to 0.2,0.5,0.4.as generally done. \n" ); document.write( "Even if we convert it, we again multiply by 100 for easy calculation \n" ); document.write( ".. \n" ); document.write( "20*x+50*(12-x)=40*12 \n" ); document.write( "20x+600-50x=480 \n" ); document.write( "20x-50x=480-600 \n" ); document.write( "-30x=-120 \n" ); document.write( "/-30 \n" ); document.write( "x= 4 liters 20% solution \n" ); document.write( "12-x = 8 liters of 50% solution. \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |