document.write( "Question 164105: A chemist has 60 g of a solution that is 70% acid. How much water should be added to make a solution that is 40% acid? \n" ); document.write( "
Algebra.Com's Answer #120988 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=amount of water needed\r \n" ); document.write( "\n" ); document.write( "Now we know that the amount of pure acid in the 60g solution (0.70*60) plus the amount of pure acid in the water that's added(0) has to equal the amoount of pure acid in the final solution (0.40(60+x)). So our equation to solve is:\r \n" ); document.write( "\n" ); document.write( "0.70*60=0.40(60+x) get rid of parens (distributive law) and simplify \n" ); document.write( "42=24+0.40x subtract 24 from each side \n" ); document.write( "42-24=24-24+0.40x collect like terms\r \n" ); document.write( "\n" ); document.write( "18=0.40x divide each side by 0.40 \n" ); document.write( "x=45g-------------------------------------amount of water needed\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "0.70*60=0.40*105 \n" ); document.write( "42=42\r \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " |