A more thorough explanation:

A grant-in-aid is a sum of money given by a government agency to a person or institution for a specific purpose. This type of funding is often used by the federal government to support state public programs.

• The federal government provides a grant-in-aid to a state to support its education program.
• A non-profit organization receives a grant-in-aid from the government to fund a research project.

These examples illustrate how a grant-in-aid is a form of financial assistance provided by a government agency to support a specific program or project. The funds are given with the expectation that they will be used for the intended purpose and that the recipient will be accountable for how the money is spent.