document.write( "Question 575449: How many gallons of a 2% salt solution must be mixed with 15 gallons of a 18% solution to obtain a 10% solution? \n" ); document.write( "

Algebra.Com's Answer #369475 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = gallons of 2% solution needed
\n" ); document.write( " $\"+.18%2A15+=+2.7+\"$ gallons of salt in 18% solution
\n" ); document.write( " $\"+.02x+\"$ = gallons of salt in 2% solution
\n" ); document.write( "------------
\n" ); document.write( " $\"+%28+.02x+%2B+2.7+%29+%2F+%28+x+%2B+15+%29+=+.1+\"$
\n" ); document.write( " $\"+.02x+%2B+2.7+=+.1%2A%28+x+%2B+15+%29+\"$
\n" ); document.write( " $\"+.02x+%2B+2.7+=+.1x+%2B+1.5+\"$
\n" ); document.write( " $\"+.08x+=+2.7+-+1.5+\"$
\n" ); document.write( " $\"+.08x+=+1.2+\"$
\n" ); document.write( " $\"+x+=+15+\"$
\n" ); document.write( "15 gallons of 2% solution are needed
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+.02x+%2B+2.7+%29+%2F+%28+x+%2B+15+%29+=+.1+\"$
\n" ); document.write( " $\"+%28+.02%2A15+%2B+2.7+%29+%2F+%28+15+%2B+15+%29+=+.1+\"$
\n" ); document.write( " $\"+3+%2F+30+=+.1+\"$
\n" ); document.write( " $\"+3+=+.1%2A30+\"$
\n" ); document.write( " $\"+3+=+3+\"$
\n" ); document.write( "OK \n" ); document.write( "

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