International International organisation Economy & Banking Polity & Governance

The European Union has seven institutions, with the Central Bank in Frankfurt and the Court of Justice in Luxembourg

Four main EU institutions work together to set the Union's agenda and to initiate and coordinate EU law-making: the European Council in Brussels, the European Parliament in Brussels, Strasbourg and Luxembourg, the Council of the European Union in Brussels and Luxembourg, and the European Commission in Brussels and Luxembourg.
The European Council does not generally make laws; its main role is to determine the EU's political direction, though it can agree on changes in the Treaty on the Functioning of the EU.
In most cases the European Parliament, the Council of the European Union and the European Commission produce the policies and laws that apply across the Union.
The work of the four is complemented by three more institutions that handle judicial, financial and audit tasks: the Court of Justice of the European Union in Luxembourg, the European Central Bank in Frankfurt and the European Court of Auditors in Luxembourg.
Around 60,000 EU civil servants and other staff serve the 450 million people living in the EU.
The institutions work with a network of EU agencies whose main function is to translate policies into realities on the ground.

Main EU institutions: 4, complemented by 3 more Seat of the European Central Bank: Frankfurt Seat of the Court of Justice of the European Union: Luxembourg People living in the EU: 450 million
Why it matters for exams: Which EU body sits in which city, and the difference between the European Council's political role and the law-making trio, are standard objective questions.
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In plain words

CJEU Court of Justice of the European Union — The institution that makes sure EU law is applied the same way across the Union.

ECB European Central Bank — The institution that manages the euro and implements EU monetary policy.