document.write( "Question 415858: Tom wants to make 10 gallons of a 10% saline solution. He has 9 gallons of a 15% saline solution, and can get as much water as he needs. Can he make the 10 gallons of 10% solution? \n" ); document.write( "

Algebra.Com's Answer #291482 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
I assume he doesn't have to use all of the 15% solution.
\n" ); document.write( "Let $\"a\"$ = gallons of 15% solution needed
\n" ); document.write( "Let $\"b\"$ = gallons of water needed
\n" ); document.write( "------------------
\n" ); document.write( "Salt in 15% solution = $\".15%2Aa+\"$
\n" ); document.write( "(1) $\"+.15a+%2F+10+=+.1\"$
\n" ); document.write( "(2) $\"a+%2B+b+=+10\"$
\n" ); document.write( "------------
\n" ); document.write( "(1) $\".15a+=1\"$
\n" ); document.write( "(1) $\"a+=+6.67\"$ gallons
\n" ); document.write( "and
\n" ); document.write( "(2) $\"6.67+%2B+b+=+10\"$
\n" ); document.write( "(2) $\"b+=+3.33\"$
\n" ); document.write( "Yes, he only needs 6.67 gallons of 15% solution \n" ); document.write( "

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