document.write( "Question 1010743: How many gallons of a 20% solution should be mixed with 15 gallons of a 70% solution to yield a final mixture of lemonade containing 35% of pure lemon juice? \n" ); document.write( "

Algebra.Com's Answer #626206 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = gallons of 20% solution needed
\n" ); document.write( " $\"+.2x+\"$ = gallons of pure lemon juice in 20% solution
\n" ); document.write( " $\"+.7%2A15+=+10.5+\"$ gallons of pure lemon juice in 70% solution
\n" ); document.write( "------------------------
\n" ); document.write( " $\"+%28+.2x+%2B+10.5+%29+%2F+%28+x+%2B+15+%29+=+.35+\"$
\n" ); document.write( " $\"+.2x+%2B+10.5+=+.35%2A%28+x+%2B+15+%29+\"$
\n" ); document.write( " $\"+.2x+%2B+10.5+=+.35x+%2B+5.25+\"$
\n" ); document.write( " $\"+.15x+=+5.25+\"$
\n" ); document.write( " $\"+x+=+35+\"$
\n" ); document.write( "35 gallons of 20% solution are needed
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+.2x+%2B+10.5+%29+%2F+%28+x+%2B+15+%29+=+.35+\"$
\n" ); document.write( " $\"+%28+.2%2A35+%2B+10.5+%29+%2F+%28+35+%2B+15+%29+=+.35+\"$
\n" ); document.write( " $\"+%28+7+%2B+10.5+%29+%2F+50+=+.35+\"$
\n" ); document.write( " $\"+17.5+=+.35%2A50+\"$
\n" ); document.write( " $\"+17.5+=+17.5+\"$
\n" ); document.write( "OK \n" ); document.write( "

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