document.write( "Question 147292: A chemist needs to mix 20 liters of 40% salt solution with some 70% solution to get a mixture that is 50% salt. How many liters of 70% solution should be used? \n" ); document.write( "
Algebra.Com's Answer #107662 by josmiceli(19441)\"\" \"About 
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In words:
\n" ); document.write( "(amount of salt you end up with) / (total amount of solution) = % salt
\n" ); document.write( "Let \"x\" = amount of 70% solution to be added
\n" ); document.write( "How much salt is in the 20 liters of 40% solution?
\n" ); document.write( "\"+.4+%2A20+=+8\" liters
\n" ); document.write( "How much salt is in the 70% solution?
\n" ); document.write( "\".7x\"
\n" ); document.write( "How much total solution do you end up with?
\n" ); document.write( "\"20+%2B+x\"
\n" ); document.write( "So, the equation to use is:
\n" ); document.write( "\"%288+%2B+.7x%29+%2F+%2820+%2B+x%29+=+.5\"
\n" ); document.write( "multiply both sides by \"20+%2B+x\"
\n" ); document.write( "\"8+%2B+.7x+=+.5%2A%2820+%2B+x%29\"
\n" ); document.write( "\"8+%2B+.7x+=+10+%2B+.5x\"
\n" ); document.write( "\".2x+=+2\"
\n" ); document.write( "\"x+=+10\"
\n" ); document.write( "The chemist needs to add 10 liters of the 70% solution
\n" ); document.write( "check answer:
\n" ); document.write( "\"%288+%2B+.7x%29+%2F+%2820+%2B+x%29+=+.5\"
\n" ); document.write( "\"%288+%2B+.7%2A10%29+%2F+%2820+%2B+10%29+=+.5\"
\n" ); document.write( "\"%288+%2B+7%29+%2F+30+=+.5\"
\n" ); document.write( "\"15%2F30+=+.5\"
\n" ); document.write( "\"15+=+.5%2A30\"
\n" ); document.write( "\"15+=+15\"
\n" ); document.write( "OK
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