document.write( "Question 146201: how much antifeeze should be added to 300 gallons of 30% antifreeze solution to raise the antifreeze solution to 40%? \n" ); document.write( "
Algebra.Com's Answer #106759 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=amount of pure antifreeze that needs to be added\r \n" ); document.write( "\n" ); document.write( "Now we know that the amount of pure antifreeze in the quantity that was added (x) plus the amount of pure antifreeze in the 300 gal (0.30*300) has to equal the amount of pure antifreeze in the final mixture(0.40(300+x)). So our equation to solve is:\r \n" ); document.write( "\n" ); document.write( "x+0.30*300=0.40(300+x) get rid of parens (distributive law) \n" ); document.write( "x+90=120+0.40x subtract 0.40x and also 90 from each side \n" ); document.write( "x+90-90-0.40x=120-90+0.40x-0.40x collect like terms\r \n" ); document.write( "\n" ); document.write( "0.60x=30 divide each side by 0.60 \n" ); document.write( "x=50 gal-------------------------------amount of pure antifreeze needed\r \n" ); document.write( "\n" ); document.write( "CK\r \n" ); document.write( "\n" ); document.write( "50+90=0.40(350) \n" ); document.write( "140=140\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps------ptaylor \n" ); document.write( " |