document.write( "Question 508398: The dosage of a medicine ordered by a doctor is 40 mL of a 16% solution. A nurse has available both a 20% solution and a 4% solution of this medicine. How many milliliters of each could be mixed to prepare this 40-mL dosage? \n" ); document.write( "
Algebra.Com's Answer #341025 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! =============================================== \n" ); document.write( "Solution A \n" ); document.write( "Amount = x \n" ); document.write( "Concentration = 20% = 0.2 \n" ); document.write( "============================================= \n" ); document.write( "Solution B \n" ); document.write( "Amount = 40-x \n" ); document.write( "Concentration = 4% = 0.04 \n" ); document.write( "==================================================== \n" ); document.write( "Resultant Solution \n" ); document.write( "Amount = 40 \n" ); document.write( "Concentration = 16% = 0.16 \n" ); document.write( "======================================================== \n" ); document.write( "(Concentration of A)(Amount of A) + (Concentration of B)(Amount of B) = Concentration of Resultant)(Amount of Resultant)\r \n" ); document.write( "\n" ); document.write( "(0.2)(x)+((0.04)(40-x))=(.16)(40) \n" ); document.write( "0.16x+1.6=6.4 \n" ); document.write( "0.16x=6.4-1.6 \n" ); document.write( "0.16x=4.8 \n" ); document.write( "0.16x/0.16=4.8/0.16 \n" ); document.write( "x=30 \n" ); document.write( "=========================================== \n" ); document.write( "Solution A = 30ml \n" ); document.write( "Solution B = 40-30=10ml\r \n" ); document.write( "\n" ); document.write( "To get 40 ml of a 16% solution. 30 ml of 20% solution and a 10ml of 4% solution could be mixed\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |