document.write( "Question 957722: How many gallons of a 10% salt solution must be added to a 15 gallons of a 20% salt solution to obtain a 16% solution? \n" ); document.write( "

Algebra.Com's Answer #585305 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = gallons of 10% solution needed
\n" ); document.write( " $\"+.1x+\"$ = gallons of salt in 10% solution
\n" ); document.write( " $\"+.2%2A15+=+3+\"$ gallons of salt in 20% solution
\n" ); document.write( "---------------------
\n" ); document.write( " $\"+%28+.1x+%2B+3+%29+%2F+%28+x+%2B+15+%29+=+.16+\"$
\n" ); document.write( " $\"+.1x+%2B+3+=+.16%2A%28+x+%2B+15+%29+\"$
\n" ); document.write( " $\"+.1x+%2B+3+=+.16x+%2B+2.4+\"$
\n" ); document.write( " $\"+.06x+=+.6+\"$
\n" ); document.write( " $\"+x+=+10+\"$
\n" ); document.write( "10 gallons of 10% solution are needed
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+.1x+%2B+3+%29+%2F+%28+x+%2B+15+%29+=+.16+\"$
\n" ); document.write( " $\"+%28+.1%2A10+%2B+3+%29+%2F+%28+10+%2B+15+%29+=+.16+\"$
\n" ); document.write( " $\"+4+%2F+25+=+.16+\"$
\n" ); document.write( " $\"+4+=+4+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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