document.write( "Question 459531: How many liters of pure acetic acid must be mixed with 10 liters of a 30% acetic acid soluti0n to get a 60% soluti0n? \n" ); document.write( "
Algebra.Com's Answer #315176 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
Let x=amount of pure acetic acid needed
\n" ); document.write( "Now we know that the amount of pure acetic acid that exists before the mixture takes place (x+0.30*10) has to equal the amount of pure acetic acid after the mixture takes place (0.60(x+10)). Sooooo
\n" ); document.write( "x+0.30*10=0.60(x+10) get rid of parens and simplify
\n" ); document.write( "x+3=0.60x+6 subtract 3 and also 0.60x from each side
\n" ); document.write( "x+3-3-0.60x=0.60x-0.60x+6-3 collect like terms
\n" ); document.write( "0.40x=3
\n" ); document.write( "x=7.5 liters----------------amount of pure acetic acid needed\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "7.5+0.30*10=0.60*17.5
\n" ); document.write( "7.5+3=10.5
\n" ); document.write( "10.5=10.5\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor
\n" ); document.write( "
\n" ); document.write( "
\n" );