document.write( "Question 510418: how many liters of a 25% alcohol solution must be mixed wuth a 12% solution to get 13 liters of 15% solution. \n" ); document.write( "
Algebra.Com's Answer #341810 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Solution A \n" ); document.write( "Concentration = 25%=0.25 \n" ); document.write( "Amount = x \n" ); document.write( "======================= \n" ); document.write( "Solution B \n" ); document.write( "Concentration = 12%=0.12 \n" ); document.write( "Amount = 13-x \n" ); document.write( "========================== \n" ); document.write( "Resultant Solution \n" ); document.write( "Concentration = 15%=0.15 \n" ); document.write( "Amount = 13 liters \n" ); document.write( "======================================== \n" ); document.write( "(Concentration of A * Amount of A)+(Concentration of B * Amount of B)=(Concentration of Resultant * Amount of Resultant) \n" ); document.write( "========================================== \n" ); document.write( "0.25x+0.12(13-x)=0.15*13 \n" ); document.write( "0.25x+1.56-0.12x=1.95 \n" ); document.write( "0.25x+1.56-0.12x=1.95 \n" ); document.write( "0.13x=1.95-1.56 \n" ); document.write( "0.13x=0.39 \n" ); document.write( "0.13x/13=0.39/13 \n" ); document.write( "x=3 \n" ); document.write( "========================================== \n" ); document.write( "Amount of solution A = x = 3 liters \n" ); document.write( "Amount of solution B = 13-x = 13-3 = 10 liters \r \n" ); document.write( "\n" ); document.write( "Answer \n" ); document.write( "======= \n" ); document.write( "3 liters of a 25% alcohol solution must be mixed with 10 liters of 12% solution to get 13 liters of 15% solution. \n" ); document.write( " \n" ); document.write( " |