document.write( "Question 1069119: How many ounces of vermouth containing 10% alcohol should be added to 20 ounces of gin containing 50% alcohol to make a pitcher of martinis that contain 30% of alcohol? \n" ); document.write( "

Algebra.Com's Answer #684357 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = ounces of vermouth needed
\n" ); document.write( " $\"+.1x+\"$ = ounces of alcohol in vermouth
\n" ); document.write( " $\"+.5%2A20+\"$ = ounces of alcohol in gin
\n" ); document.write( "----------------------------------------
\n" ); document.write( " $\"+%28+.1x+%2B+.5%2A20+%29+%2F+%28+x+%2B+20+%29+=+.3+\"$
\n" ); document.write( " $\"+.1x+%2B+10+=+.3%2A%28+x+%2B+20+%29+\"$
\n" ); document.write( " $\"+.1x+%2B+10+=+.3x+%2B+6+\"$
\n" ); document.write( " $\"+.2x+=+4+\"$
\n" ); document.write( " $\"+x+=+20+\"$
\n" ); document.write( "20 ounces of vermouth should be added
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+.1x+%2B+.5%2A20+%29+%2F+%28+x+%2B+20+%29+=+.3+\"$
\n" ); document.write( " $\"+%28+.1%2A20+%2B+.5%2A20+%29+%2F+%28+20+%2B+20+%29+=+.3+\"$
\n" ); document.write( " $\"+%28+2+%2B+10+%29+%2F+40+=+.3+\"$
\n" ); document.write( " $\"+12+=+12+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );