document.write( "Question 583180: Mixture problem= A 55 gallon barrel contains a mixture with a concentration of 40%. How much of this mixture must be withdrawn and replaced by 100% concentrate to bring up the mixture up to 75% concentration. \n" ); document.write( "
Algebra.Com's Answer #372441 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A 55 gallon barrel contains a mixture with a concentration of 40%. \n" ); document.write( " How much of this mixture must be withdrawn and replaced by 100% concentrate to bring up the mixture up to 75% concentration. \n" ); document.write( ": \n" ); document.write( "Let x = amt of 100% stuff required, and the amt of 40% mixture to be removed \n" ); document.write( ": \n" ); document.write( ".40(55-x) + x = .75(55) \n" ); document.write( "22 - .4x + x = 41.25 \n" ); document.write( ".6x = 41.25 - 22 \n" ); document.write( ".6x = 19.25 \n" ); document.write( "x = 19.25/,6 \n" ); document.write( "x = 32.1 mixture removed, then 32.1 gal of 100% added to replace it \n" ); document.write( " |