document.write( "Question 1005175: how many litres of water must be added to a 100 litre container of orange juice that 20% water to produce a mixture that is 1/3 water \n" ); document.write( "

Algebra.Com's Answer #621507 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = liters of water to be added
\n" ); document.write( " $\"+.2%2A100+=+20+\"$ liters of water in 100 liters
\n" ); document.write( "-------------------
\n" ); document.write( " $\"+%28+x+%2B+20+%29+%2F+%28+x+%2B+100+%29+=+1%2F3+\"$
\n" ); document.write( "Multiply both sides by $\"+3%2A%28+x+%2B+100+%29+\"$
\n" ); document.write( " $\"+3%2A%28+x%2B20+%29+=+x+%2B+100+\"$
\n" ); document.write( " $\"+3x+%2B+60+=+x+%2B+100+\"$
\n" ); document.write( " $\"+2x+=+40+\"$
\n" ); document.write( " $\"+x+=+20+\"$
\n" ); document.write( "20 liters of water must be added
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+x+%2B+20+%29+%2F+%28+x+%2B+100+%29+=+1%2F3+\"$
\n" ); document.write( " $\"+%28+20+%2B+20+%29+%2F+%28+20+%2B+100+%29+=+1%2F3+\"$
\n" ); document.write( " $\"+40+%2F+120+=+1%2F3+\"$
\n" ); document.write( " $\"+1%2F3+=+1%2F3+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );