document.write( "Question 906634: A chemist has two solutions, one is 30% alcohol and the other 90% alcohol. How much of each solution should be mixed together to make 400liters of solution that is 54% alcohol?
\n" );
document.write( "a+b=400 .3*a+.9*b=.54*400 a=400*b .3*(400-b)+.9*b=.54 .3-.3+.9*b=.9 \n" );
document.write( "
Algebra.Com's Answer #549972 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! a+b=400, \n" ); document.write( "0.3*a+0.9*b=0.54*400 \n" ); document.write( "a=400-b \n" ); document.write( "0.3*(400-b)+0.9*b=216 \n" ); document.write( "120-0.3b+0.9*b=216 \n" ); document.write( "0.6*b=96 \n" ); document.write( "b=160 \n" ); document.write( "a=400-b \n" ); document.write( "a=240 liter at 30% \n" ); document.write( "b=160 liter at 90% \n" ); document.write( "check \n" ); document.write( "0.3*240+0.9*160=0.54*400 \n" ); document.write( "72+144=216 \n" ); document.write( "216=216 \n" ); document.write( "ok \n" ); document.write( " \n" ); document.write( " |