document.write( "Question 713985: A pharmacist needs to obtain a 60% alcohol solution. How many ounces of a 30% alcohol solutu=ion must be mixed with 50 ounces of an 80% alcohol solution to obtain a 60% alcohol solution? \n" ); document.write( "

Algebra.Com's Answer #438627 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = ounces of 30% solution needed
\n" ); document.write( " $\"+.3x+\"$ = ounces of alcohol in 30% solution
\n" ); document.write( " $\"+.8%2A50+=+40+\"$ ounces of alcohol in 80% solution
\n" ); document.write( "--------------
\n" ); document.write( " $\"+%28+.3x+%2B+40+%29+%2F+%28+x+%2B+50+%29+=+.6+\"$
\n" ); document.write( " $\"+.3x+%2B+40+=+.6%2A%28+x+%2B+50+%29+\"$
\n" ); document.write( " $\"+.3x+%2B+40+=+.6x+%2B+30+\"$
\n" ); document.write( " $\"+.3x+=+40+-+30+\"$
\n" ); document.write( " $\"+.3x+=+10+\"$
\n" ); document.write( " $\"+x+=+33.333+\"$
\n" ); document.write( "The pharmacist needs 33 1/3 ounces of 30% solution
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+.3x+%2B+40+%29+%2F+%28+x+%2B+50+%29+=+.6+\"$
\n" ); document.write( " $\"+%28+.3%2A33.333+%2B+40+%29+%2F+%28+33.333+%2B+50+%29+=+.6+\"$
\n" ); document.write( " $\"+%28+10+%2B+40%29+%2F+83.333+=+.6+\"$
\n" ); document.write( " $\"+50+=+.6%2A83.333+\"$
\n" ); document.write( " $\"+50+=+50+\"$
\n" ); document.write( "OK \n" ); document.write( "

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