document.write( "Question 264027: How many liters of pure alcohol must be added to 25 liters of a 26% solution to obtain a 50% solution? \n" ); document.write( "

Algebra.Com's Answer #194475 by josmiceli(19441) $\"\"$ $\"About$

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In words:
\n" ); document.write( "(liters of alcohol in final solution)/(total liters of final solution) = 50%
\n" ); document.write( "In 25 liters of a 26% solution, liters of alcohol =
\n" ); document.write( " $\".26%2A25+=+6.5\"$ liters
\n" ); document.write( "Let $\"x\"$ = liters of pure alcohol to be added
\n" ); document.write( " $\"%28x+%2B+6.5%29%2F%2825+%2B+x%29+=+.5\"$
\n" ); document.write( " $\"x+%2B+6.5+=+.5%2A%2825+%2B+x%29\"$
\n" ); document.write( " $\"x+%2B+6.5+=+25%2F2+%2Bx%2F2\"$
\n" ); document.write( " $\"2x+%2B+13+=+25+%2B+x\"$
\n" ); document.write( " $\"x+=+12\"$
\n" ); document.write( "12 liters of pure alcohol must be added
\n" ); document.write( "check answer:
\n" ); document.write( " $\"%28x+%2B+6.5%29%2F%2825+%2B+x%29+=+.5\"$
\n" ); document.write( " $\"%2812+%2B+6.5%29%2F%2825+%2B+12%29+=+.5\"$
\n" ); document.write( " $\"18.5%2F37+=+.5\"$
\n" ); document.write( " $\"18.5+=+18.5\"$
\n" ); document.write( "OK
\n" ); document.write( "
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