SOLUTION: 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

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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
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = oz of pucker needed
Let +b+ = oz of vodka needed
given:
(1) +a+%2B+b+=+8+
(2) +%28+.15a+%2B+.35b+%29+%2F+8+=+.3+
---------------------------
(2) +.15a+%2B+.35b+=+2.4+
(2) +15a+%2B+35b+=+240+
(2) +3a+%2B+7b+=+48+
Multiply both sides of (1) by 3
and subtract (1) from (2)
(2) +3a+%2B+7b+=+48+
(1) +-3a+-+3b+=+-24+
+4b+=+24+
+b+=+6+
and
(1) +a+%2B+6+=+8+
(1) +a+=+2+
2 oz of pucker are needed
6 oz of vodka are needed
check:
(2) +%28+.15%2A2+%2B+.35%2A6+%29+%2F+8+=+.3+
(2) +%28+.3+%2B+2.1+%29+%2F+8+=+.3+
(2) +2.4+=+.3%2A8+
(2) +2.4+=+2.4+
OK