document.write( "Question 508089: A chemist has two solutions H2SO4. One has a 40% concentration and the other one has a 25% concentration. How many liters of each solution must be mixed to obtain 106 liters of a 36% solution? \n" ); document.write( "
Algebra.Com's Answer #340941 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Solution A \n" ); document.write( "Amount = x liters \n" ); document.write( "Concentration =40% = 0.40 \n" ); document.write( "======================================================= \n" ); document.write( "Solution B \n" ); document.write( "Amount =(106- x) liters \n" ); document.write( "Concentration =25% = 0.25 \n" ); document.write( "======================================================= \n" ); document.write( "Resultant Solution \n" ); document.write( "Amount = 106 liters \n" ); document.write( "Concentration = 36%=0.36 \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*0.40)+((106-x)*0.25=106*0.36 \n" ); document.write( "0.40x+26.5-0.25x=38.16 \n" ); document.write( "0.15x=38.16-26.5 \n" ); document.write( "0.15x=11.66 \n" ); document.write( "Divide by 0.15 both sides \n" ); document.write( "0.15x/0.15=11.66/0.15 \n" ); document.write( "x=77.73 \n" ); document.write( "======================================= \n" ); document.write( "Amount of solution A = 77.73 liters \n" ); document.write( "Amount of Sultion B = 106-77.73=28.27 liters \n" ); document.write( " \n" ); document.write( " |