document.write( "Question 1049113: Sarah has 65 milliliters of a 30% solution. How many millimeters of 75% solution should she add to obtain the required 35% solution? \n" ); document.write( "

Algebra.Com's Answer #664644 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = ml of the 75% solution needed
\n" ); document.write( " $\"+.3%2A65+=+19.5+\"$ = ml of concentrate in the 30% solution
\n" ); document.write( " $\"+.75x+\"$ = ml of concentrate in the 75% solution
\n" ); document.write( "------------------------------------------------------
\n" ); document.write( " $\"+%28+19.5+%2B+.75x+%29+%2F+%28+65+%2B+x+%29+=+.35+\"$
\n" ); document.write( " $\"+19.5+%2B+.75x+=+.35%2A%28+65+%2B+x+%29+\"$
\n" ); document.write( " $\"+19.5+%2B+.75x+=+22.75+%2B+.35x+\"$
\n" ); document.write( " $\"+.4x+=+22.75+-+19.5+\"$
\n" ); document.write( " $\"+.4x+=+3.25+\"$
\n" ); document.write( " $\"+x+=+8.125+\"$
\n" ); document.write( "8.125 ml of the 75% solution is needed
\n" ); document.write( "-------------------------------------
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+%28+19.5+%2B+.75x+%29+%2F+%28+65+%2B+x+%29+=+.35+\"$
\n" ); document.write( " $\"+%28+19.5+%2B+.75%2A8.125+%29+%2F+%28+65+%2B+8.125+%29+=+.35+\"$
\n" ); document.write( " $\"+%28+19.5+%2B+6.09375+%29+%2F+73.125+=+.35+\"$
\n" ); document.write( " $\"+25.59375+%2F+73.125+=+.35+\"$
\n" ); document.write( " $\"+25.59375+=+.35%2A73.125+\"$
\n" ); document.write( " $\"+25.59375+=+25.59375+\"$
\n" ); document.write( "OK \n" ); document.write( "

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