document.write( "Question 252487: how much pure acid is in 800 gallons of a 38% acid soloution \n" ); document.write( "
Algebra.Com's Answer #184431 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! how much pure acid is in 800 gallons of a 38% acid solution. We are obviously looking at a mixture problem.\r \n" ); document.write( "\n" ); document.write( "Pure acid = 100%.\r \n" ); document.write( "\n" ); document.write( "PURE . . . 100 . . . X . . . . . 100X \n" ); document.write( "(B?) . . . ?? . . .. 800-X . . . 800? - x? \n" ); document.write( "MIX . . . 38 . . . . 800 . . . . 30400\r \n" ); document.write( "\n" ); document.write( "100X - ?X + 800? = 30400. \n" ); document.write( "X = (30400 - 800?) / (100-?) \n" ); document.write( "What we have here is a Diophantine equation. We are thinking what values of ? make X a nice integer? \n" ); document.write( "If ? = 0, X = 304. \n" ); document.write( "If ? = 20, X = 180. \n" ); document.write( "If ? = 36, X = 25 .\r \n" ); document.write( "\n" ); document.write( "Not sure which way you want to go on this. \n" ); document.write( " \n" ); document.write( " |