Question
A jar initially contains a certain quantity of
buttermilk. After removing 8 liters of the mixture and replacing it with cream, this process is repeated twice more, with 10 liters and then 12 liters being taken out and replaced with cream each time. If the initial quantity of buttermilk in the jar is 80 liters, what is the final quantity of buttermilk in the jar?Solution
ATQ, we can say that  Let Quantity of Butter milk from jar A = 3a Quantity of the cream from jar A = 2a Quantity of butter milk from jar B = 5b Quantity of cream from jar B = 6b Now, butter Milk in jar B = 5 × 5 = 25 liters cream in jar B = 6 × 5 = 30 liters (25 + 3a)/(30 + 2a) = 11/10 330 + 22a = 250 + 30a 8a = 80 a = 10 Quantity of jar A = 5 × 10 = 50 liters
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