document.write( "Question 799226: how many cups of orange juice must be added to 50 cups of punch that is 10% orange juice to obtain a punch that is 20% orange juice? \n" ); document.write( "

Algebra.Com's Answer #482573 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = cups of o.j. to be added
\n" ); document.write( " $\"+.1%2A50+=+5+\"$ cups of o.j. in 50 cups of punch
\n" ); document.write( "-------------------
\n" ); document.write( " $\"+%28+x+%2B+5+%29+%2F+%28+x+%2B+50+%29+=+.2+\"$
\n" ); document.write( " $\"+x+%2B+5+=+.2%2A%28+x+%2B+50+%29+\"$
\n" ); document.write( " $\"+x+%2B+5+=+.2x+%2B+10+\"$
\n" ); document.write( " $\"+.8x+=+5+\"$
\n" ); document.write( " $\"+x+=+6.25+\"$
\n" ); document.write( "6.25 cups of o.j. must be added
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+x+%2B+5+%29+%2F+%28+x+%2B+50+%29+=+.2+\"$
\n" ); document.write( " $\"+%28+6.25+%2B+5+%29+%2F+%28+6.25+%2B+50+%29+=+.2+\"$
\n" ); document.write( " $\"+11.25+%2F+56.25+=+.2+\"$
\n" ); document.write( " $\"+11.25+=+.2%2A56.25+\"$
\n" ); document.write( " $\"+6.25+=+6.25+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );