Shapovalov A.V.

A dog and a cat simultaneously grabbed a sausage loaf with their teeth from different sides. If the dog bites off its piece and runs away, the cat will get 300 g more than the dog. If the cat bites off its piece and runs away, the dog will get 500 g more than the cat. How much sausage will be left if both bite off their pieces and run away?

#
If two (identical) dogs grab a sausage from both sides, there will be a piece of 300 g between them. If two cats grab a sausage from both sides, there will be a piece of 500 g between them (see figure).
![](https://cdn.mathpix.com/cropped/2024_05_06_3601206fc58102cd7b4dg-05.jpg?height=426&width=1316&top_left_y=1711&top_left_x=362)

This means that two dogs and two cats will leave 800 g from two sausages. And one dog and one cat from one sausage - half as much.

## Answer

400 g.