document.write( "Question 195320: In a chemistry class, 9 liters of a 4% silver iodide 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 #146529 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"x\"$ = liters of 10% solution needed
\n" ); document.write( "In words:
\n" ); document.write( "(liters of silver iodide)/(total liters of solution) = 6%
\n" ); document.write( " $\"%28.04%2A9+%2B+.1x%29+%2F+%289+%2B+x%29+=+.06\"$
\n" ); document.write( "Multiply both sides by $\"9+%2B+x\"$
\n" ); document.write( " $\".36+%2B+.1x+=+.06%2A%289+%2B+x%29\"$
\n" ); document.write( " $\".36+%2B+.1x+=+.54+%2B+.06x\"$
\n" ); document.write( " $\".04x+=+.18\"$
\n" ); document.write( " $\"x+=+4.5\"$
\n" ); document.write( "4.5 liters of the 10% solution are needed
\n" ); document.write( "check:
\n" ); document.write( " $\"%28.04%2A9+%2B+.1x%29+%2F+%289+%2B+x%29+=+.06\"$
\n" ); document.write( " $\"%28.04%2A9+%2B+.1%2A4.5%29+%2F+%289+%2B+4.5%29+=+.06\"$
\n" ); document.write( " $\"%28.36+%2B+.45%29+%2F13.5+=+.06\"$
\n" ); document.write( " $\".81%2F13.5+=+.06\"$
\n" ); document.write( " $\".06+=+.06\"$
\n" ); document.write( "OK \n" ); document.write( "

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