When the muslim neighbours were killing the sheep at Eid, the entire court would benefit from the celebration, even the non-muslims.
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I have a strong doubt on the name of the celebration. I used wikipedia, and Eid seems the best in english.
<Note from the admins> "Eid al-Adha", also called "Festival of sacrifice" in English is a muslim celebration during which, an animal, often a sheep, is sacrificed remembering Abraham's trials.