4. (7 points) A gnome in shoes weighs 2 kg more than a gnome without shoes. If you put five identical gnomes in shoes and five such gnomes without shoes on the scales, the scales will show 330 kg. How much does a gnome in shoes weigh?
Answer: 34 kg.

Solution. Let's put boots on five gnomes, then the weight will increase by 10 kg. It turns out that ten gnomes in boots weigh 340 kg. Therefore, one gnome in boots weighs 34 kg.

Criteria. Correctly found the weight of a gnome in boots by any method: 7 points.

Correctly found the weight of a gnome without boots, but did not find (did not specify in the answer) the weight of a gnome in boots: 5 points.

Did not find the correct weight of a gnome either with boots or without boots: 0 points.