document.write( "Question 994592: A laboratory technician needs to make a 42-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to get the desired concentration? \n" ); document.write( "
Algebra.Com's Answer #613624 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "P=amount of pure acid; T=amount of 10% solution \n" ); document.write( "P+T=42L \n" ); document.write( "T=42L-P \n" ); document.write( ". \n" ); document.write( "(1.00)P+(0.10)T=(0.40)42L \n" ); document.write( "P+(0.10)(42L-P)=16.8L \n" ); document.write( "P+4.2L-0.10P=16.8L \n" ); document.write( "0.90P=12.6L \n" ); document.write( "P=14 \n" ); document.write( "ANSWER 1: He should use 14 liters of pure acid. \n" ); document.write( "T=42L-P=42L-14L=28L \n" ); document.write( "ANSWER 2: He should use 28 liters of 10% acid solution. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "(1.00)P+(0.10)T=(0.40)42L \n" ); document.write( "14L+(0.10)28L=16.8L \n" ); document.write( "14L+2.8L=16.8L \n" ); document.write( "16.8L=16.8L\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |