document.write( "Question 657787: apple pucker is 15% alcohol and vodka is 35% alcohol. how much of each should be mixed to make an 8 oz drink that is 30% alcohol \n" ); document.write( "

Algebra.Com's Answer #410004 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = oz of pucker needed
\n" ); document.write( "Let $\"+b+\"$ = oz of vodka needed
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+8+\"$
\n" ); document.write( "(2) $\"+%28+.15a+%2B+.35b+%29+%2F+8+=+.3+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "(2) $\"+.15a+%2B+.35b+=+2.4+\"$
\n" ); document.write( "(2) $\"+15a+%2B+35b+=+240+\"$
\n" ); document.write( "(2) $\"+3a+%2B+7b+=+48+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"3\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+3a+%2B+7b+=+48+\"$
\n" ); document.write( "(1) $\"+-3a+-+3b+=+-24+\"$
\n" ); document.write( " $\"+4b+=+24+\"$
\n" ); document.write( " $\"+b+=+6+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+6+=+8+\"$
\n" ); document.write( "(1) $\"+a+=+2+\"$
\n" ); document.write( "2 oz of pucker are needed
\n" ); document.write( "6 oz of vodka are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+.15%2A2+%2B+.35%2A6+%29+%2F+8+=+.3+\"$
\n" ); document.write( "(2) $\"+%28+.3+%2B+2.1+%29+%2F+8+=+.3+\"$
\n" ); document.write( "(2) $\"+2.4+=+.3%2A8+\"$
\n" ); document.write( "(2) $\"+2.4+=+2.4+\"$
\n" ); document.write( "OK \n" ); document.write( "

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