Maths teasers

There are two cups of equal capacity, with equal volumes of coffee and tea respectively. I take a full teaspoon of coffee and add it to the cup with tea. I then give it a good stir. Then I take a teaspoon of this mixture and add this to the cup of coffee.
Is there now more tea in the coffee, or more coffee in the tea?

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Imagine that there is a metal band around the Earth that fits snugly such that there is no gap between the Earth and the band. Assume that the Earth is a perfect sphere.
I snip off the band and lengthen it by adding a 10-metre strip. I then adjust the band back in place, thereby ensuring that te gap between the band and the Earth is uniform all around. How big is the gap?

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