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Bartender
Thanks Mix
Answer: 7/24
wine and
17/24 water
AI answer
Let's denote the capacity of each glass as G (for simplicity).
Initially, the first glass has 1/3 of G filled with wine, and the second glass has 1/4 of G filled with wine.
When the bartender fills each glass with water, the first glass becomes
1/3 wine and 2/3 water, and the second glass becomes 1/4 wine and 3/4
water.
Now, when he mixes the contents in a jug, the total amount of wine in
the jug is 1/3 G + 1/4 G, and the total amount of water is 2/3 G + 3/4
G.
Combining these, the total capacity of the mixture in the jug is G, and
the proportion of wine is 1/3 + 1/4 = 7/12, while the proportion of
water is 2/3 + 3/4 = 17/12.
Now, when he pours half of the mixture back into one of the glasses, half of G will be 1/2 G.
Therefore, the glass will contain 1/2 of 7/12 G of wine and 1/2 of 17/12 G of water.
To simplify, the glass will contain 7/24 G of wine and 17/24 G of water.
Therefore, the proportion in the glass is 7/24 wine and 17/24 water.
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