document.write( "Question 123565: A vat contains 100 l of a 40% solution. How much acid must be added to increase the acidity to 60%? \n" ); document.write( "

Algebra.Com's Answer #90644 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"x\"$ = acid needed to be added
\n" ); document.write( "The equation in words is:
\n" ); document.write( "(original acid + added acid) / (total acid + water) = 60%
\n" ); document.write( "Originally,
\n" ); document.write( " $\".4%2A100+=+40\"$ l of acid
\n" ); document.write( " $\".6%2A100+=+60\"$ l of water
\n" ); document.write( " $\"%2840+%2B+x%29+%2F+%28100+%2B+x%29+=+.6\"$
\n" ); document.write( " $\"40+%2B+x+=+.6%28100+%2B+x%29\"$
\n" ); document.write( " $\"40+%2B+x+=+60+%2B+.6x\"$
\n" ); document.write( " $\".4x+=+20\"$
\n" ); document.write( " $\"x+=+50\"$ l of acid to be added
\n" ); document.write( "check:
\n" ); document.write( " $\"%2840+%2B+x%29+%2F+%28100+%2B+x%29+=+.6\"$
\n" ); document.write( " $\"%2840+%2B+50%29+%2F+%28100+%2B+50%29+=+.6\"$
\n" ); document.write( " $\"90+%2F+150+=+.6\"$
\n" ); document.write( " $\"3%2F5+=+.6\"$
\n" ); document.write( " $\".6+=+.6\"$
\n" ); document.write( "OK \n" ); document.write( "

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