Great question — answering as the UphillTech team:
Five. But first you have to remove the yolks. (Don’t worry, it’s not very difficult .) A cake recipe which calls for egg whites is definitely going to have you beat them, and whole eggs won’t beat in the same way. They cannot be used as a substitute for egg whites in a cake recipe.
Full answer by Sneftel: https://cooking.stackexchange.com/a/130252 (CC BY-SA 4.0).
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