document.write( "Question 571434: In the lab, Charmaine has two solutions that contain alcohol and is mixing them with each other. She uses 200 milliliters less of Solution A than Solution B. Solution A is 19% alcohol and Solution B is 11% alcohol. How many milliliters of Solution A does she use, if the resulting mixture has 292 milliliters of pure alcohol? \n" ); document.write( "
Algebra.Com's Answer #368074 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! She uses 200 milliliters less of Solution A than Solution B. Solution A is 19% alcohol and Solution B is 11% alcohol. How many milliliters of Solution A does she use, if the resulting mixture has 292 milliliters of pure alcohol? \n" ); document.write( "---- \n" ); document.write( "Equations: \n" ); document.write( "A = B-200 ml \n" ); document.write( "--- \n" ); document.write( "alcohol + alcohol = alcohol \n" ); document.write( "0.19A + 0.11B = 292 \n" ); document.write( "---- \n" ); document.write( "Substitute for \"A\" and solve for \"B\": \n" ); document.write( "0.19(B-200) + 0.11B = 292 \n" ); document.write( "--- \n" ); document.write( "Multiply thru by 100: \n" ); document.write( "19B - 3800 +11B = 29200 \n" ); document.write( "30B = 33000 \n" ); document.write( "B = 1100 ml \n" ); document.write( "---- \n" ); document.write( "Solve for \"A\": \n" ); document.write( "A = B - 200 \n" ); document.write( "A = 900 ml \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "======================= \n" ); document.write( " |