document.write( "Question 635359: A 20-gallon salt-water solution contains 15% pure salt. How much water should be added to make a new solution that is only 12% salt? \n" ); document.write( "
Algebra.Com's Answer #400266 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 20 gallons contains 15%\r \n" ); document.write( "\n" ); document.write( "so it contains 3 grams salt. ((15/100) *20)\r \n" ); document.write( "\n" ); document.write( "We need 12 % salt\r \n" ); document.write( "\n" ); document.write( "so we have to add\r \n" ); document.write( "\n" ); document.write( "(3*100)/12\r \n" ); document.write( "\n" ); document.write( "=25 gallons\r \n" ); document.write( "\n" ); document.write( "you have to add 25-20 = 5 gallons of water to make it 12% solution.\r \n" ); document.write( "\n" ); document.write( "Alternative\r \n" ); document.write( "\n" ); document.write( "-------------- percent ---------------- Amount \n" ); document.write( "Salt solution 15 ---------------- 20 gallons \n" ); document.write( "Water 0 ---------------- x gallons \n" ); document.write( "Mixture 12 ---------------- 20 + x gallons \n" ); document.write( " \n" ); document.write( "15 * 20 + 0 x = 12 ( 20 + x ) \n" ); document.write( "300 + 0 x = 240 + 12 x \n" ); document.write( "0 x -12 x = -300 + 240 \n" ); document.write( "-12 x = -60 \n" ); document.write( "/ -12 \n" ); document.write( "x = 5 gallons Water \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |