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Solution: break the X cup, according to the meaning of the problem

1000-X-4X=895

The solution is X=2 1.

Twenty-one cups were broken.

Analysis: If none of them are bad, the freight 1 0,000 yuan. Now that one is broken, if the freight is not given to the other, there will be a fine of 4 yuan. So one cup is missing, and five yuan is missing. So the above equations can be listed, and it is not difficult to solve them.