elPatron434 wrote:
Hi
Bunuel /
ScottTargetTestPrep / others
I have followed the same procedure listed in the forum discussion. However, I have arrived at E as the answer.
I felt confused between
A cask initially contains pure alcohol up to the brim (ie 15L of Alcohol)
When the cask is completely emptied and filled back to the brim two times, what is the ratio of alcohol to water in the cask (ie 10 of Alcohol)
I worked with the latter to arrive at 1/3. Do you think that the question is poorly worded? If no, could you please let me know where I'm going wrong?
Thanks
elPatron434, 1/3 is probably the biggest trap answer here. After the first round of emptying and replacing you'd have 10L of alcohol and 5L of water. I'm pretty sure you got this right.
Now, when you empty 5L again, these 5L won't be just of alcohol. In fact these 5 L would be divided amongst Alc and water in their current ratio (2:1).
So you need to subtract 10/3 from Alc and 5/3 from Water. Now add back 5 to water and you'll have your answer!
Although, I got the answer right because I understood what the question meant, I think it is poorly worded, especially the following part -
"When the cask is
completely emptied and filled back to the brim two times".
Completely emptied distorts the meaning.