To turn skin yellow, rather than orange, a person would have to eat about 10 carrots a day for a period of at least two weeks, consuming at least 51 grams of beta-carotene each day. The average carrot contains about 5 to 6 milligrams of beta-carotene.
A person who eats a diet extremely high in beta-carotene, found in carrots, sweet potatoes and other foods, may develop a temporary and harmless condition called carotenemia, which causes skin discoloration. The skin, particularly the palms of the hands, actually turns yellow, not orange. This change in skin color fades and eventually disappears when the person's diet changes back to normal.