Fold a full sheet of paper towel into quarters and place it in a small bowl. Spoon the yogurt on top of the paper towel. Place it in the refrigerator for 20 minutes so the yogurt can drain and thicken.
In a small bowl whisk together the thickened yogurt and the mayonnaise, until smooth. Whisk in the lemon juice, vinegar, and honey.
Grate first the carrots and then the apples in a food processor. Transfer them to a large bowl and stir to combine. Pour the dressing over the carrot mixture and toss. Add the mint and season with salt.
Per Serving: Calories: 136; Total Fat: 6 grams; Saturated Fat: 1 gram; Protein: 2 grams; Total carbohydrates: 21 grams; Sugar: 13 grams; Fiber: 4 grams; Cholesterol: 3 milligrams; Sodium: 294 milligrams