( informal ) to have a lot of work or problems, etc. to deal with
HAVE ENOUGH / A LOT / TOO MUCH ON YOUR PLATE
Meaning of HAVE ENOUGH / A LOT / TOO MUCH ON YOUR PLATE in English
Oxford Advanced Learner's English Dictionary. Оксфордский английский словарь для изучающик язык на продвинутом уровне. 2005