document.write( "Question 508018: A chemistry student has a 15% hydrochloric acid solution and a 40% hydrochloric acid solution. How many liters of each should she mix to get 10 liters of a hydrochloric acid solution with a 30% acid concentration? \n" ); document.write( "
Algebra.Com's Answer #340953 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Solution A \n" ); document.write( "Amount = x liters \n" ); document.write( "Concentration =15% = 0.15 \n" ); document.write( "============================================= \n" ); document.write( "Solution B \n" ); document.write( "Amount =(10- x) liters \n" ); document.write( "Concentration =40% = 0.40 \n" ); document.write( "============================================= \n" ); document.write( "Resultant Solution \n" ); document.write( "Amount = 10 liters \n" ); document.write( "Concentration = 30%=0.30 \n" ); document.write( "============================================= \n" ); document.write( "[Amount Solution A * Concentration A] + [Amount Solution B * Concentration of B] = Amount of Resultant * Concentration of resultant \n" ); document.write( "============================================== \n" ); document.write( "Put the value in above equation \n" ); document.write( "(x*0.15)+((10-x)*0.40=10*0.30 \n" ); document.write( "0.15x+4-0.4x=3 \n" ); document.write( "-0.25x=3-4 \n" ); document.write( "-0.25x=-1 \n" ); document.write( "Divide by -0.25 both sides \n" ); document.write( "-0.25x/-0.25=-1/-0.25 \n" ); document.write( "x=4 \n" ); document.write( "============================================= \n" ); document.write( "Amount of solution A =4 liters \n" ); document.write( "Amount of Sultion B = 10-x=10-4=6 liters \n" ); document.write( "============================================== \n" ); document.write( "A chemistry student has a 15% hydrochloric acid solution and a 40% hydrochloric acid solution.He has to mix 4 liters of 15% solution and 6 liters of 40% to get 10 liters of a hydrochloric acid solution with a 30% acid concentration? \n" ); document.write( " \n" ); document.write( " |