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# A cask is filled with a mixture of 2 liquids A and B in the

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A cask is filled with a mixture of 2 liquids A and B in the [#permalink]

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07 Nov 2004, 16:53
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A cask is filled with a mixture of 2 liquids A and B in the proportion A:B :: 5:3. When 16 gallons of the mixture are drawn off and the acsk filled with liquid B the proportion become A:B:: 3:5. How many gallons does the cask hold?
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07 Nov 2004, 17:25
Solution A wnet from 5/8 to 3/8, by taking 16 units out, of this 16 units 10 were solution A, if 10 units = 2/8, then 1/8 = 5 units, and the total is 40 units.

Sorry I forgot if the problem used liters or gallons. (Damn us americans for being different)
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07 Nov 2004, 20:09
In the earlier mixtre problem I had used a formual and I will use that again to ge the results:

(3/5) = 1- (16/M)

M= total amoutn of the mixture in the cask originally

=> M = 40.
07 Nov 2004, 20:09
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