document.write( "Question 667204: How many gallons of a 25% chemical solution must be added to 60 gallons of a 50% solution to get a 30% solution \n" ); document.write( "

Algebra.Com's Answer #414897 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = gallons of 25% solution needed
\n" ); document.write( " $\"+.25x+\"$ = gallons of chemical in 25% solution
\n" ); document.write( " $\"+.5%2A60+=+30+\"$ gallons of chemical in 50% solution
\n" ); document.write( " $\"+%28++.25x+%2B+30+%29+%2F+%28+x+%2B+60+%29+=+.3+\"$
\n" ); document.write( " $\"+.25x+%2B+30+=+.3%2A%28+x+%2B+60+%29+\"$
\n" ); document.write( " $\"+.25x+%2B+30+=+.3x+%2B+18+\"$
\n" ); document.write( " $\"+.05x+=+30+-+18+\"$
\n" ); document.write( " $\"+.05x+=+12+\"$
\n" ); document.write( " $\"+x+=+240+\"$
\n" ); document.write( "240 gallons of the 25% solution must be added
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28++.25x+%2B+30+%29+%2F+%28+x+%2B+60+%29+=+.3+\"$
\n" ); document.write( " $\"+%28++.25%2A240+%2B+30+%29+%2F+%28+240+%2B+60+%29+=+.3+\"$
\n" ); document.write( " $\"+%28+60+%2B+30+%29+%2F+300+=+.3+\"$
\n" ); document.write( " $\"+90+%2F+300+=+.3+\"$
\n" ); document.write( " $\"+90+=+.3%2A300+\"$
\n" ); document.write( " $\"+90+=+90+\"$
\n" ); document.write( "OK \n" ); document.write( "

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