document.write( "Question 172661: A farmer needs 65 gallons of weed killer solution. He has 35% weed killer solution which is too weak for the job and a 60% weed killer solution which is too strong. How many gallons of each solution should he mix to obtain 70 gallons of a 50% solution? \n" ); document.write( "
Algebra.Com's Answer #127527 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A farmer needs 65 gallons of weed killer solution. \n" ); document.write( "He has 35% weed killer solution which is too weak for the job and a 60% weed killer solution which is too strong. \n" ); document.write( "How many gallons of each solution should he mix to obtain 70 gallons of a 50% solution? \n" ); document.write( "---------------------------- \n" ); document.write( "active + active = active ingrediant \n" ); document.write( "0.35x + 0.60(70-x) = 0.50*70 \n" ); document.write( "-------------------------------------\r \n" ); document.write( "\n" ); document.write( "35x + 60*70 - 60x = 50*70 \n" ); document.write( "-25x = -10*70 \n" ); document.write( "x = 28 (amt. of 35% killer needed in the mixture) \n" ); document.write( "70-x = 42 ( amt. of 60% killer needed in the mixture) \n" ); document.write( "==================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |