document.write( "Question 226451: System of equations:\r
\n" ); document.write( "\n" ); document.write( "A laboratory assistant is asked to mix 30% alcohol solution with 21 liters of an 80% alcohol solutuion to make a 60% alcohol solution. How many liters of the the 30% alcohol solution should be used.
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Algebra.Com's Answer #168651 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"x\" = liters of 30% solution to be used
\n" ); document.write( "In words:
\n" ); document.write( "(liters of alcohol I end up with)/(total liters at end) = 60%
\n" ); document.write( "given:
\n" ); document.write( "I am adding \".3x\" liters of alcohol to solution
\n" ); document.write( "The solution already contains \".8%2A21+=+16.8\" liters alcohol
\n" ); document.write( "I can now write the equation
\n" ); document.write( "\"%28.3x+%2B+16.8%29%2F%2821+%2B+x%29+=+.6\"
\n" ); document.write( "\".3x+%2B+16.8+=+.6%2A%2821+%2B+x%29\"
\n" ); document.write( "\".3x+%2B+16.8+=+12.6+%2B+.6x\"
\n" ); document.write( "\".3x+=+16.8+-+12.6\"
\n" ); document.write( "\".3x+=+4.2\"
\n" ); document.write( "\"x+=+14\"
\n" ); document.write( "14 liters of the 30% solution must be added
\n" ); document.write( "check:
\n" ); document.write( "\"%28.3x+%2B+16.8%29%2F%2821+%2B+x%29+=+.6\"
\n" ); document.write( "\"%28.3%2A14+%2B+16.8%29%2F%2821+%2B+14%29+=+.6\"
\n" ); document.write( "\"%284.2+%2B+16.8%29%2F35+=+.6\"
\n" ); document.write( "\"21%2F35+=+.6\"
\n" ); document.write( "\"21+=+.6%2A35\"
\n" ); document.write( "\"21+=+21\"
\n" ); document.write( "OK
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