document.write( "Question 994590: A laboratory technician needs to make a 45-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 #613632 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=45L \n" ); document.write( "T=45L-P \n" ); document.write( ". \n" ); document.write( "(1.00)P+(0.10)T=(0.40)45L \n" ); document.write( "P+(0.10)(45L-P)=18L \n" ); document.write( "P+4.5L-0.10P=18L \n" ); document.write( "0.90P=13.5L \n" ); document.write( "P=15L \n" ); document.write( "ANSWER 1: He should use 15 liters of pure acid. \n" ); document.write( "T=45L-P=45L-15L=30L \n" ); document.write( "ANSWER 2: He should use 30 liters of 10% acid solution. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "(1.00)P+(0.10)T=(0.40)45L \n" ); document.write( "15L+(0.10)30L=18L \n" ); document.write( "15L+3L=18L \n" ); document.write( "18L=18L \n" ); document.write( " \n" ); document.write( " |