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On the matter of how much: Each baby is different so leave the decision of how much to eat upto them. Because only they know when they are hungry and when they are full, and because they can't communicate that too clearly, provide a good variety of wholesome food on a regular basis and then let them decide how much they will eat. Over the course of the day they will eat what they need, although their intake from one meal to the next may vary dramatically. At the minimum a one year old should be getting the following to meet those nutrient needs listed earlier: two cups of breastmilk, formula or milk (full fat), four servings of one to two tablespoons each of fruits and vegetables (one with vitamin C and one with A), two servings of meat or equivalent of one to two tablespoons each, four servings of breads or cereals, each about 1/4 an adult serving, and one must be an iron fortified cereal.
On the matter of fat: Although lowfat diets are recommended for adults, the American Academy of Pediatrics, The American Heart Association Nutrition Committee and The National Cholesterol Education Program agree that fat and cholesterol should not be restricted in the diets of children from birth to two. Dietary fat supplies concentrated energy, provides the essential fatty acids, linoleic and linolenic (necessary for proper neurologic development) and is a carrier of fat soluble vitamins. Infants have a difficult time eating enough lowfat foods to meet their caloric needs because their stomachs are so small.