How can I prevent DRY for this method?

Question

Having each scope almost the same like below doesn't feel right at all. I'd rather have one scope where name, age i.e. are set than having 3 for each object of cat, dog and puppy. How can this code below be improved?

 

private void addAnimal_Click(object sender, EventArgs e)
        {

            var name = inputName.Text;
            int age = int.Parse(inputAge.Text);
            var favfood = inputFavfood.Text;
            var breed = inputBreed.Text;
            var typeOfAnimal = dropDownTypeOfAnimal.Text;


            if (typeOfAnimal == "Cat")
            {
                Animal cat = new Cat();

                cat.Name = name;
                cat.Age = age;
                cat.FavFood = favfood;
                cat.Breed = breed;
                cat.IsHungry = utility.ShuffleProbability();
                Pets.Add(cat);
            }
            if (typeOfAnimal == "Dog")
            {
                Animal dog = new Dog();

                dog.Name = name;
                dog.Age = age;
                dog.FavFood = favfood;
                dog.Breed = breed;
                dog.IsHungry = utility.ShuffleProbability();
                Pets.Add(dog);
            }
            if (typeOfAnimal == "Puppy")
            {
                Animal puppy = new Puppy();

                puppy.Name = name;
                puppy.Age = age;
                puppy.FavFood = favfood;
                puppy.Breed = breed;
                puppy.IsHungry = utility.ShuffleProbability();
                Pets.Add(puppy);
            }

        }