document.write( "Question 770456: In the lab, Justin has two solutions that contain alcohol and is mixing them with each other. He uses 3 times as much Solution A as Solution B. Solution A is 17% alcohol and Solution B 14% is alcohol. How many milliliters of Solution B does he use, if the resulting mixture has 195 milliliters of pure alcohol? \n" ); document.write( "

Algebra.Com's Answer #469543 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = ml of solution A needed
\n" ); document.write( "Let $\"+b+\"$ = ml of solution B needed
\n" ); document.write( " $\"+.17a+\"$ = ml of alcohol in solution A
\n" ); document.write( " $\"+.14b+\"$ = ml of alcohol in solution B
\n" ); document.write( "---------------------------------
\n" ); document.write( "(1) $\"+a+=+3b+\"$
\n" ); document.write( "(2) $\"+.17a+%2B+.14b+=+195+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "(2) $\"+17a+%2B+14b+=+19500+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+17%2A%28+3b+%29+%2B+14b+=+19500+\"$
\n" ); document.write( "(2) $\"+51b+%2B+14b+=+19500+\"$
\n" ); document.write( "(2) $\"+65b+=+19500+\"$
\n" ); document.write( "(2) $\"+b+=+300+\"$
\n" ); document.write( "He should use 300 ml of solution B
\n" ); document.write( "---------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+a+=+3b+\"$
\n" ); document.write( "(1) $\"+a+=+900+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+.17a+%2B+.14b+=+195+\"$
\n" ); document.write( "(2) $\"+.17%2A900+%2B+.14%2A300+=+195+\"$
\n" ); document.write( "(2) $\"+153+%2B+42+=+195+\"$
\n" ); document.write( "(2) $\"+195+=+195+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );