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Q.

Nine gallons are drawn from a cask full of wine; it is then filled with water, then nine gallons of the mixture are drawn and the cask is again filled with water. If the quantity of wine now in the cask to the quantity of water in it is in the ratio of 16 to 9, how much does the cask hold?


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a

30

b

25

c

35

d

45 

answer is D.

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Detailed Solution

 Concept- Assume that the cask's volume is changeable. Use the provided data to calculate the capacity of the cask, and then write the amount of wine and water that is left in terms of x and compare it to the specified ratio.
Say x be the number of gallons the cask can hold.
After the first activity of drawing and filling
Question ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageWine left
Question ImageGiven ratio is Question ImageQuestion ImageQuestion ImageAccording to the question, the capacity of the cask cannot be 5, so the answer is 45.
Hence, the correct answer is option 4.
 
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