document.write( "Question 511334: How many gallons of water must be added to 40 gallons of 10% alcohol solution to produce an 8% alcohol solution? \n" ); document.write( "
Algebra.Com's Answer #342164 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Water \n" ); document.write( "Amount = x \n" ); document.write( "Concentration = 0% =0 (Water is pure therefore alcohal concentration will be 0%) \n" ); document.write( "================================================================================ \n" ); document.write( "Alcohol \n" ); document.write( "Amount =40 \n" ); document.write( "Concentration =10% = 0.10 \n" ); document.write( "================================================================================ \n" ); document.write( "Mixture \n" ); document.write( "Amount = (40+x) gallons \n" ); document.write( "Concentration = 8%=0.08 \n" ); document.write( "=============================================================================== \n" ); document.write( "[Water Amount *Concentration of Water] + [Alcohol Amount *Alcohol Concentration ] = Amount of Mixture * Concentration of Mixture \n" ); document.write( "(x*0)+(40)*(0.10)=(0.08)*(40+x) \n" ); document.write( "0+4=3.2+0.08x \n" ); document.write( "4-3.2=0.08x \n" ); document.write( "0.8=0.08x \n" ); document.write( "0.8/0.08=0.08x/0.08 \n" ); document.write( "10=x \n" ); document.write( "x=10 \n" ); document.write( "=============================================================================== \n" ); document.write( "Water \n" ); document.write( "Amount = x =10 gallons \n" ); document.write( "Concentration = 0% =0\r \n" ); document.write( "\n" ); document.write( "Alcohol \n" ); document.write( "Amount =40 gallons \n" ); document.write( "Concentration =10% = 0.10\r \n" ); document.write( "\n" ); document.write( "Mixture \n" ); document.write( "Amount = (40+x) = (40+10) = 50 gallons \n" ); document.write( "Concentration = 8%=0.08 \n" ); document.write( "=============================================================================== \n" ); document.write( "10 gallons of water must be added to 40 gallons of 10% alcohol solution to produce a 50 gallons of 8% alcohol solution. \n" ); document.write( " \n" ); document.write( " |