document.write( "Question 760829: A 50 gallon of mixture contains 20% alcohol and 80%orange juice,how much pure alcohol should be added to this mixture to make it 50% alcohol content? \n" ); document.write( "

Algebra.Com's Answer #462879 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = gallons of pure alcohol to be added
\n" ); document.write( " $\"+.2%2A50+=+10+\"$ = gallons of pure alcohol in 20% mixture
\n" ); document.write( "------------------
\n" ); document.write( " $\"+%28+10+%2B+x+%29+%2F+%28+50+%2B+x+%29+=+.5+\"$
\n" ); document.write( " $\"+10+%2B+x+=+.5%2A%28+50+%2B+x+%29+\"$
\n" ); document.write( " $\"+10+%2B+x+=+25+%2B+.5x+\"$
\n" ); document.write( " $\"+.5x+=+15+\"$
\n" ); document.write( " $\"+x+=+30+\"$
\n" ); document.write( "30 gallons of pure alcohol needs to be added
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+10+%2B+x+%29+%2F+%28+50+%2B+x+%29+=+.5+\"$
\n" ); document.write( " $\"+%28+10+%2B+30+%29+%2F+%28+50+%2B+30+%29+=+.5+\"$
\n" ); document.write( " $\"+40%2F80+=+.5+\"$
\n" ); document.write( " $\"+40+=+.5%2A80+\"$
\n" ); document.write( " $\"+40+=+40+\"$
\n" ); document.write( "OK \n" ); document.write( "

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