document.write( "Question 941069: Suppose you add 70% lemon juice to 1 gallon of 20% lemon juice solution until the mixture becomes 40% lemon juice, how much of the final mixture will you have? \n" ); document.write( "

Algebra.Com's Answer #573623 by josmiceli(19441) $\"\"$ $\"About$

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$\"+.2%2A1+=+.2+\"$ gallons of lemon juice in 20% mix
\n" ); document.write( "Let $\"+x+\"$ = gallons of 70% mix to be added
\n" ); document.write( " $\"+.7x+\"$ = gallons of lemon juice in 70% mix
\n" ); document.write( "-------------------------------------------
\n" ); document.write( " $\"+%28+.7x+%2B+.2+%29+%2F+%28+x+%2B+1+%29+=+.4+\"$
\n" ); document.write( " $\"+.7x+%2B+.2+=+.4%2A%28+x+%2B+1+%29+\"$
\n" ); document.write( " $\"+.7x+%2B+.2+=+.4x+%2B+.4+\"$
\n" ); document.write( " $\"+.3x+=+.2+\"$
\n" ); document.write( " $\"+x+=+2%2F3+\"$
\n" ); document.write( "--------------
\n" ); document.write( "The final mixture is 1 and 2/3 gallons
\n" ); document.write( "--------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+.7%2A%282%2F3%29+%2B+.2+%29+%2F+%28+2%2F3+%2B+1+%29+=+.4+\"$
\n" ); document.write( " $\"+%28+%28+7%2F10+%29%2A%28+2%2F3+%29+%2B+2%2F10+%29+%2F+%28+5%2F3+%29++=+4%2F10+\"$
\n" ); document.write( " $\"+7%2F15+%2B+2%2F10+=+10%2F15+\"$
\n" ); document.write( " $\"+14%2F30+%2B+6%2F30+=+20%2F30+\"$
\n" ); document.write( " $\"+20%2F30+=+20%2F30+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );