document.write( "Question 6203: Solution A is 12% acid and Solution B is 4% acid. If a technician wants to mix them to make 60 liters of Solutin C which is 10% acid, how many liters of each should be mixed together? \n" ); document.write( "
Algebra.Com's Answer #3302 by roy_algebra2006(2)![]() ![]() ![]() You can put this solution on YOUR website! Let us assume that solution A required is 'x' litres & solution B required is 'y' litres. \n" ); document.write( "we can see that x+y=60---------(1) \n" ); document.write( "now 10% acid =10*60/100 litres=6 litres. \n" ); document.write( "now the tricky part.... \n" ); document.write( " 12% 0f 'x' =12*x/100 & 4% of 'y'=4*y/100 ......(all in litres) \n" ); document.write( " thus we get 12*x/100+4*y/100=6 \n" ); document.write( " =>3*x/25+y/25=6 \n" ); document.write( " =>3*x+y=150--------(2) \n" ); document.write( " solving the above simultaneous equations numbered (1)& (2)...... \n" ); document.write( " we get \n" ); document.write( " x=45 & y=15 \n" ); document.write( " hence solution A required is 45 litres & solution B required is 15 litres. \n" ); document.write( " |