document.write( "Question 625229: How many liters of a 50% acid solution must be added to 10 liters of a 15% acid solution to produce a 25% acid solution? \n" ); document.write( "

Algebra.Com's Answer #393389 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = liters of 50% acid solution needed
\n" ); document.write( " $\"+.5x+\"$ = liters of acid in 50% solution
\n" ); document.write( " $\"+.15%2A10+=+1.5+\"$ liters of acid in 15% solution
\n" ); document.write( "-----------
\n" ); document.write( " $\"+%28+.5x+%2B+1.5+%29+%2F+%28+x+%2B+10+%29+=+.25+\"$
\n" ); document.write( " $\"+.5x+%2B+1.5+=+.25%2A%28+x+%2B+10+%29+\"$
\n" ); document.write( " $\"+.5x+%2B+1.5+=+.25x+%2B+2.5+\"$
\n" ); document.write( " $\"+.25x+=+2.5+-+1.5+\"$
\n" ); document.write( " $\"+.25x+=+1+\"$
\n" ); document.write( " $\"+x+=+4+\"$
\n" ); document.write( "4 liters of 50% acid solution are needed
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+.5x+%2B+1.5+%29+%2F+%28+x+%2B+10+%29+=+.25+\"$
\n" ); document.write( " $\"+%28+.5%2A4+%2B+1.5+%29+%2F+%28+4+%2B+10+%29+=+.25+\"$
\n" ); document.write( " $\"+3.5+%2F+14+=+.25+\"$
\n" ); document.write( " $\"+3.5+=+.25%2A14+\"$
\n" ); document.write( " $\"+3.5+=+3.5+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );