document.write( "Question 196090: Ten liters of a 4% acid solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed? \n" ); document.write( "

Algebra.Com's Answer #147068 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"x\"$ = liters of 10% acid solution needed
\n" ); document.write( "In words:
\n" ); document.write( "(liters of acid in final solution)/(total liters of solution) = 6%
\n" ); document.write( " $\"%28.04%2A10+%2B+.1x%29+%2F+%2810+%2B+x%29+=+.06\"$
\n" ); document.write( "Multiply both sides by $\"10+%2B+x\"$
\n" ); document.write( " $\".4+%2B+.1x+=+.06%2A%2810+%2B+x%29\"$
\n" ); document.write( " $\".4+%2B+.1x+=+.6+%2B+.06x\"$
\n" ); document.write( " $\".04x+=+.6+-+.4\"$
\n" ); document.write( " $\".04x+=+.2\"$
\n" ); document.write( " $\"x+=+5\"$
\n" ); document.write( "5 liters of 10% acid solution are needed
\n" ); document.write( "check answer:
\n" ); document.write( " $\".4+%2B+.1%2A5+=+.06%2A%2810+%2B+5%29\"$
\n" ); document.write( " $\".4+%2B+.5+=+.06%2A15\"$
\n" ); document.write( " $\".9+=+.9\"$
\n" ); document.write( "OK \n" ); document.write( "

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