document.write( "Question 196704: A chemist has 500 mL of a solution that is 60% acid. how much of a 30% solution must be added to make a solution that is 50% acid? \n" ); document.write( "

Algebra.Com's Answer #147437 by josmiceli(19441) $\"\"$ $\"About$

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given:
\n" ); document.write( " $\".6%2A500+=+300\"$ ml of acid
\n" ); document.write( "Let $\"x\"$ = ml of solution to be added
\n" ); document.write( " $\".3x\"$ = ml of acid added
\n" ); document.write( " $\"%28.6%2A500+%2B+.3x%29+%2F+%28500+%2B+x%29+=+.5\"$
\n" ); document.write( "Multiply both sides by $\"500+%2B+x\"$
\n" ); document.write( " $\"300+%2B+.3x+=+.5%2A%28500+%2B+x%29\"$
\n" ); document.write( " $\"300+%2B+.3x+=+250+%2B+.5x\"$
\n" ); document.write( " $\".2x+=+50\"$
\n" ); document.write( " $\"x+=+250\"$ ml
\n" ); document.write( "250 ml of a 30% solution must be added
\n" ); document.write( "check:
\n" ); document.write( " $\"%28.6%2A500+%2B+.3x%29+%2F+%28500+%2B+x%29+=+.5\"$
\n" ); document.write( " $\"%28.6%2A500+%2B+.3%2A250%29+%2F+%28500+%2B+250%29+=+.5\"$
\n" ); document.write( " $\"%28300+%2B+75%29+%2F+750+=+.5\"$
\n" ); document.write( " $\"375+=+.5%2A750\"$
\n" ); document.write( " $\"375+=+375\"$
\n" ); document.write( "OK \n" ); document.write( "

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