document.write( "Question 192099: A 55-gallon barrel contains a mixture with a concentration of 30%. How much of this mixture must be withdrawn and replaced by 100% concentrate to bring the mixture up to 50% concentrate? \n" ); document.write( "
Algebra.Com's Answer #144143 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! total is 55 gal\r \n" ); document.write( "\n" ); document.write( "at 30%, solute is 30% 0f 55 or .3*55= 16.5 gal\r \n" ); document.write( "\n" ); document.write( "required to have 50% of 55 = .50*55= 27.5 gal\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16.5 - .3x +1.00x = 27.5\r \n" ); document.write( "\n" ); document.write( "subt 16.5 both sides and simplify\r \n" ); document.write( "\n" ); document.write( "(1-.3)x= 11\r \n" ); document.write( "\n" ); document.write( ".7x = 11\r \n" ); document.write( "\n" ); document.write( "divide by .7\r \n" ); document.write( "\n" ); document.write( "x=15.714 or in sig fig (16) ANSWER\r \n" ); document.write( "\n" ); document.write( "checking \n" ); document.write( ".3*15.714 = 4.714\r \n" ); document.write( "\n" ); document.write( "16.5 - 4.714+15.714 = 27.5 ok \n" ); document.write( " |