SOLUTION: A pharmacist needs 70 liters of a 50% alcohol solution. She has availble a 30% alcohole solution and an 80% alocohol solution. How many liters of each solution should she mix to ob

Question 677693: A pharmacist needs 70 liters of a 50% alcohol solution. She has availble a 30% alcohole solution and an 80% alocohol solution. How many liters of each solution should she mix to obtain 70 liters of wach solution should she mix to obtain 70 liters of a 50% alcohol solution?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = liters of 30% solution needed
Let = liters of 80% solution needed
given:
(1)
(2)
-------------------------
(2)
(2)
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
42 liters of 30% solution are needed
28 liters of 80% solution are needed
check answer:
(2)
(2)
(2)
(2)
OK

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