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She spends the next hour and a half preparing food to cook. From 6:30 to 8:30, she cooks.

Does food to cook equal food which is to be cooked. What's the grammar? Any other examples?

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This is a nonfinite relative clause. Yes, "food to cook" means "food that is to be cooked". For some discussion, see these two Wikipedia sections: Nonfinite relative clauses and To-infinitive (scroll down to the "As a relative clause" portion).

There are many examples:

This is the place to be.

I have homework to do.

It was a sight to see.

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