Red Wine Brain Teaser

This question relates to the solution and mixture topic. You have a bucket of red wine and a bucket of white wine. You take a cup of red wine and pour it into the bucket of white wine. After thoroughly mixing, you then take a cup of this mixture and pour it back into the red wine bucket.

Is there more red wine in the white wine or is there more white wine in the red wine?

Feel free to post your answer in the comments section.

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Vineet Patawari

Hi, I'm Vineet Patawari. I fell in love with numbers after being scared of them for quite some time. Now, I'm here to make you feel comfortable with numbers and help you get rid of Math Phobia!

17 thoughts to “Red Wine Brain Teaser”

  1. yup…amused to find that they are equal in the end…though at first glance, we may find that there shud be more red or more white , if we calculate carefully, we can get this answer…..

  2. I think that there will be more red wine in the white wine mixture than the reverse….. but what will be the exact answer???

  3. The answer is both. There is now more white wine in the red bucket and more red wine in the white bucketfrom when you started

  4. There will always be equal proportions of each in each.

    This problem assumes each bucket contains equal amounts of wine, and equal amounts are poured into the other. To make this easier to illustrate, let’s say for example that:

    * Red bucket: 9 cups of pure red wine.
    * White bucket: 9 cups of pure white wine.
    * We’ll pour exactly 1 cup from one bucket into the other.

    1. Pour 1 cup of red wine into the bucket of white wine, and mix thoroughly. You now have:

    * Red bucket: 8 cups of pure red wine.
    * White bucket: 10 cups of unpure wine (9 cups of pure white wine and 1 cup of pure red wine).

    Any 1 cup in the white wine bucket (thoroughly mixed) will now contain:

    * .9 cup white wine and .1 cup red wine.

    2. Pour 1 unpure cup from the white wine bucket back into the red wine bucket. You now have added back:

    * .9 cup white wine.
    * .1 cup red wine.

    Since the red wine bucket had 8 cups, you now have 8.1 cups red wine and .9 cup white wine.

    The opposite will always be true. You will now have 8.1 cups white wine and .9 cup red wine in the white wine bucket.

    It balances out, because you’re adding impure wine back into less pure wine. That’s the secret.

  5. More Red in White …

    coz one full cup of red was poured into the bucket of white wine while only a mix having both red (a little) and white (more) is poured into the bucket of red wine ..

    so the white bucket must contain more red wine

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