document.write( "Question 273600: In a chemistry class, 6 liters of a 12% alcohol solution must be mixed with a 20% solution to get a 14% solution. How many liters of the 20% solution are needed? \n" ); document.write( "

Algebra.Com's Answer #199816 by josmiceli(19441) $\"\"$ $\"About$

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In words:
\n" ); document.write( "(liters of alcohol from 12% solution + liters of alcohol from 20% solution)/(total liters of final solution) = 14%
\n" ); document.write( "given:
\n" ); document.write( " $\".12%2A6+=+.72\"$ = liters of alcohol in 12% solution
\n" ); document.write( "----------------------------------
\n" ); document.write( "Let $\"x\"$ = liters of 20% solution needed
\n" ); document.write( " $\"%28.72+%2B+.2x%29%2F%286+%2B+x%29+=+.14\"$
\n" ); document.write( " $\".72+%2B+.2x+=+.14%2A%286+%2B+x%29\"$
\n" ); document.write( " $\".72+%2B+.2x+=+.84+%2B+.14x\"$
\n" ); document.write( " $\".06x+=+.84+-+.72\"$
\n" ); document.write( " $\".06x+=+.12\"$
\n" ); document.write( " $\"x+=+2\"$
\n" ); document.write( "2 liters of 20% solution are needed
\n" ); document.write( "check answer:
\n" ); document.write( " $\"%28.72+%2B+.2x%29%2F%286+%2B+x%29+=+.14\"$
\n" ); document.write( " $\"%28.72+%2B+.2%2A2%29%2F%286+%2B+2%29+=+.14\"$
\n" ); document.write( " $\"%28.72+%2B+.4%29%2F8+=+.14\"$
\n" ); document.write( " $\"1.12%2F8+=+.14\"$
\n" ); document.write( " $\"1.12+=+.14%2A8\"$
\n" ); document.write( " $\"1.12+=+1.12\"$
\n" ); document.write( "OK \n" ); document.write( "

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