document.write( "Question 1154192: How many liters of 10% acid solution must be added to a 40% acid solution to produce an 8 liters volume 30% acid solution \n" ); document.write( "

Algebra.Com's Answer #776574 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = liters of 10% acid solution needed
\n" ); document.write( " $\"+8+-+x+\"$ = liters of 40% acid solution needed
\n" ); document.write( "-----------------------------------------------------
\n" ); document.write( " $\"+%28+.1x+%2B+.4%2A%28+8+-+x+%29+%29+%2F+8+=+.3+\"$
\n" ); document.write( " $\"+.1x+%2B+.4%2A%28+8+-+x+%29+=+2.4+\"$
\n" ); document.write( " $\"+.1x+%2B+3.2+-+.4x+=+2.4+\"$
\n" ); document.write( " $\"+.3x+=+.8+\"$
\n" ); document.write( " $\"+x+=+8%2F3+\"$
\n" ); document.write( " $\"+2.667+\"$ liters of 10% solution are needed
\n" ); document.write( "-----------------------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+.1x+%2B+.4%2A%28+8+-+x+%29+%29+%2F+8+=+.3+\"$
\n" ); document.write( " $\"+%28+.1%2A%288%2F3%29+%2B+.4%2A%28+8+-+8%2F3+%29+%29+%2F+8+=+.3+\"$
\n" ); document.write( " $\"++.1%2A%288%2F3%29+%2B+.4%2A%28+8+-+8%2F3+%29+=+2.4+\"$
\n" ); document.write( " $\"++.1%2A%288%2F3%29+%2B+.4%2A%28+24%2F3+-+8%2F3+%29+=+2.4+\"$
\n" ); document.write( " $\"++.1%2A%288%2F3%29+%2B+.4%2A%28+16%2F3+%29+=+2.4+\"$
\n" ); document.write( " $\"+.1%2A8+%2B+.4%2A16+=+7.2+\"$
\n" ); document.write( " $\"+.8+%2B+6.4+=+7.2+\"$
\n" ); document.write( " $\"+7.2+=+7.2+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );