How to Make It
In a food processor or blender, puree the green melon with the mint, lime juice and 1 tablespoon of the sugar. Pour into a pitcher and refrigerate until chilled, about 1 hour.
Rinse out the blender. Add the orange melon, lemon juice and the remaining 1 tablespoon of sugar and puree. Pour into a pitcher and refrigerate until chilled, about 1 hour.
At the same time, pour both soups from opposite sides into shallow bowls, taking care to keep them from mixing, and serve.