document.write( "Question 508049: How many gallons of a liquid that is 40% alcohol must be mixed with 8 gallons of one that is 30% alcohol to obtain a mixture that is 35% alcohol? \n" ); document.write( "
Algebra.Com's Answer #340947 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Solution A \n" ); document.write( "Amount = x gallons? \n" ); document.write( "Concentration =40% = 0.4 \n" ); document.write( "============================================================ \n" ); document.write( "Solution B \n" ); document.write( "Amount =8 gallons \n" ); document.write( "Concentration =30% = 0.3 \n" ); document.write( "============================================================ \n" ); document.write( "Resultant Solution \n" ); document.write( "Amount =( 8+x) gallons \n" ); document.write( "Concentration = 35%=0.35 \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( "============================================================= \n" ); document.write( "Put the value in above equation \n" ); document.write( "(x*0.4)+(8*0.3)=(8+x)*0.35 \n" ); document.write( "0.4x+2.4=2.8+0.35x \n" ); document.write( "0.4x-0.35x =2.8-2.4 \n" ); document.write( "0.05x=0.4 \n" ); document.write( "Divide by 0.05 both sides of the equation \n" ); document.write( "0.05x/0.05=0.4/0.05 \n" ); document.write( "x=8 gallons \n" ); document.write( "============================================================ \n" ); document.write( "Solution A \n" ); document.write( "Amount = 8 gallons? \n" ); document.write( "Concentration =40% \n" ); document.write( "============================================================ \n" ); document.write( "Solution B \n" ); document.write( "Amount =8 gallons \n" ); document.write( "Concentration =30% \n" ); document.write( "============================================================= \n" ); document.write( "Resultant Solution \n" ); document.write( "Amount =( 8+8) gallons = 16 gallons \n" ); document.write( "Concentration = 35% \n" ); document.write( "=================================================================\r \n" ); document.write( "\n" ); document.write( "Finally:-\r \n" ); document.write( "\n" ); document.write( "8 gallons of a liquid that is 40% alcohol must be mixed with 8 gallons of one that is 30% alcohol to obtain a mixture of 16 gallons that is 35% alcoho \n" ); document.write( " \n" ); document.write( " |