document.write( "Question 789282: how many gallons of a 12% salt solution should be added to 10 gallons of an 18% salt solution in order to produce a solution whose salt content is between 14% amd 16% \n" ); document.write( "

Algebra.Com's Answer #478810 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = gallons of 12% solution needed
\n" ); document.write( " $\"+.12x+\"$ = gallons of salt in 12% solution
\n" ); document.write( " $\"+.18%2A10+=+1.8+\"$ gallons of salt in 18% solution
\n" ); document.write( "--------------------
\n" ); document.write( "First find for 14%
\n" ); document.write( " $\"+%28+.12x+%2B+1.8+%29+%2F+%28+x+%2B+10+%29+=+.14+\"$
\n" ); document.write( " $\"+.12x+%2B+1.8+=+.14%2A%28+x+%2B+10+%29+\"$
\n" ); document.write( " $\"+.12x+%2B+1.8+=+.14x+%2B+1.4+\"$
\n" ); document.write( " $\"+.02x+=+.4+\"$
\n" ); document.write( " $\"+x+=+20+\"$
\n" ); document.write( "----------
\n" ); document.write( "And find for 16%
\n" ); document.write( " $\"+%28+.12x+%2B+1.8+%29+%2F+%28+x+%2B+10+%29+=+.16+\"$
\n" ); document.write( " $\"+.12x+%2B+1.8+=+.16%2A%28+x+%2B+10+%29+\"$
\n" ); document.write( " $\"+.12x+%2B+1.8+=+.16x+%2B+1.6+\"$
\n" ); document.write( " $\"+.04x+=+.2+\"$
\n" ); document.write( " $\"+x+=+5+\"$
\n" ); document.write( "----------
\n" ); document.write( "between 5 gallons and 20 gallons of 12% salt
\n" ); document.write( "solution should be added\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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