Do Cats Eat Mice?

I have a debate I need settled. Do cats eat mice? For real, such a simple, silly  question but inquiring minds want to know? Here's the sitch:we have a mouse/rat problem in our building. Leo and I have talked about it on our morning show plenty of times so we decided to try to remedy the situation...We have some new adopted cats roaming around outside because isn't that what cats do? They 'take care of' the mice, remember Tom and Jerry? lol So a few people in the building got into a debate over whether the cats will actually eat the mice or as Leo said they 'chew them up like a chew toy' but don't actually eat them. Please help settle, do cats eat mice or not?