document.write( "Question 955316: How many gallons of a 2% acid solution must be mixed with 7 gallons of a 20% solution to obtain a 17% solution? \n" ); document.write( "
Algebra.Com's Answer #583524 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! How many gallons of a 2% acid solution must be mixed with 7 gallons of a 20% solution to obtain a 17% solution?\r \n" ); document.write( "\n" ); document.write( "Let x=amt of 2% solution needed \n" ); document.write( "Now we know that the amount of pure acid that exists before the mixture takes place (0.02x+0.20*7) has to equal the amount of pure acid that exists after the mixture takes place(0.17(7+x)) \n" ); document.write( "Sooooo \n" ); document.write( "0.02x+0.20*7=0.17(7+x) \n" ); document.write( "0.02x+1.4=1.19+0.17x \n" ); document.write( "0.17x-0.02x=1.4-1.19 \n" ); document.write( "0.15x=0.21 \n" ); document.write( "x=1.4 gal---amount of 2% solution needed \n" ); document.write( "CK \n" ); document.write( "0.02(1.4)+1.4=0.17(8.4) \n" ); document.write( "0.028+1.4=1.428 \n" ); document.write( "1.428=1.428\r \n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor \n" ); document.write( " \n" ); document.write( " |