document.write( "Question 565209: How many centiliters of a 25% acid solution must be added to 200 centiliters of a 4% acid solution to make a 10% acid solution? \n" ); document.write( "
Algebra.Com's Answer #365715 by Maths68(1474) You can put this solution on YOUR website! Solution A \n" ); document.write( "Amount = x \n" ); document.write( "Concentration =25% = 0.25\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution B \n" ); document.write( "Amount = 200 \n" ); document.write( "Concentration =4% = 0.04\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Resultant Solution \n" ); document.write( "Amount = 200+x \n" ); document.write( "Concentration =10% = 0.1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "[Amount Solution A * Concentration A] + [Amount Solution B * Concentration of B]+ [Amount Solution B * Concentration of B] = Amount of Resultant * Concentration of resultant\r \n" ); document.write( "\n" ); document.write( "(0.25)(x)+(200)(0.04)=(200+x)(0.1) \n" ); document.write( "0.25x+8=20+0.1x \n" ); document.write( "0.25x-0.1x=20-8 \n" ); document.write( "0.15x=12 \n" ); document.write( "0.15x/0.15=12/0.15 \n" ); document.write( "x=80\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution A \n" ); document.write( "Amount = x = 80 centiliters \n" ); document.write( "Concentration =25% = 0.25\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution B \n" ); document.write( "Amount = 200 centiliters \n" ); document.write( "Concentration =4% = 0.04\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Resultant Solution \n" ); document.write( "Amount = 200+x = 200+80 = 280 centiliters \n" ); document.write( "Concentration =10% = 0.1\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "80 centiliters of a 25% acid solution must be added to 200 centiliters of a 4% acid solution to make a 10% acid solution. \n" ); document.write( " \n" ); document.write( " |