document.write( "Question 508314: 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 #340939 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Solution A \n" ); document.write( "Amount = x ? \n" ); document.write( "Concentration = 20% = 0.20 \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 = 40ml \n" ); document.write( "Concentration = 16%=0.16 \n" ); document.write( "=================================================== \r \n" ); document.write( "\n" ); document.write( "[Amount Solution A * Concentration A] + [Amount Solution B * Concentration of B] = Amount of Resultant * Concentration of resultant \n" ); document.write( "=================================================\r \n" ); document.write( "\n" ); document.write( "Put the value in above equation \n" ); document.write( "(x*0.2)+((40-x)*0.04=40*0.16 \n" ); document.write( "0.2x+1.6-0.04x)=6.4 \n" ); document.write( "0.16x=6.4-1.6 \n" ); document.write( "0.16x=4.8 \n" ); document.write( "Divide by 0.16 both sides \n" ); document.write( "0.16x/0.16=4.8/0.16 \n" ); document.write( "x=30ml \n" ); document.write( "Amount of solution A = 30ml \n" ); document.write( "Amount of Sultion B = 40-30=10ml \n" ); document.write( " \n" ); document.write( " |