Explanation of the hadith
If the Iqamāh for prayer is proclaimed, and food or drink are served, one should start with food and drink; in order to satisfy his appetite, and his mind should not be busy with the food.
If the Iqāmah for prayer is proclaimed, and the dinner is served, start with the dinner
Authentic hadithNarrated by Bukhari & Muslim due to its all chains of narratorsHadeethEnc #3066
عن عائشة وعبد الله بن عمر وأنس بن مالك رضي الله عنهم مرفوعاً: «إِذَا أُقِيمَت الصَّلاَة، وحَضَرَ العَشَاء، فَابْدَءُوا بِالعَشَاء».
English translation
‘Ā'ishah, ‘Abdullāh ibn 'Umar, and Anas ibn Mālik (may Allah be pleased with them) reported that the Prophet (may Allah’s peace and blessings be upon him) said: "If the Iqāmah for prayer is proclaimed, and the dinner is served, start with the dinner."
The Azan and Iqaamah