Question

Гном в башмаках весит на 2 кг больше чем гном без башмаков если поставить на весы пять одинаковых гномов в башмаках и пять таких же гномов без башмаков весы покажут 330 кг сколько весит гном в башмаках ПЖ решение и ответ

Answer 1

1) Г +Б = Г + 2
Отсюда 
2) Б = 2 - башмаки
3) 5*(Г+Б) + 5*Г = 330
Упрощаем
4) 10*Г = 330 - 5*Б = 330 - 10 = 320
Находим вес Г
5) Г = 320 : 10 = 32 кг вес Гнома без Б
6) Г + Б = 32 + 2 = 34 кг - Гном с Башмаками - ОТВЕТ

Answer 2

5+5=10(гномов) всего.
5*2=10(кг) башмаки.
330-10=320(кг) 10 гномов.
320:10=32(кг) гном.
ответ: 34 кг - гном в башмаках.

Answer 3

Problem Analysis

We are given that a gnome in shoes weighs 2 kg more than a gnome without shoes. We also know that if we put five identical gnomes in shoes and five identical gnomes without shoes on a scale, the total weight will be 330 kg. We need to find the weight of a gnome in shoes.

Solution

Let's assume the weight of a gnome without shoes is x kg. According to the given information, the weight of a gnome in shoes is x + 2 kg.

If we put five gnomes in shoes on one side of the scale and five gnomes without shoes on the other side, the total weight will be 330 kg. Since each gnome in shoes weighs x + 2 kg and each gnome without shoes weighs x kg, we can set up the following equation:

5(x + 2) + 5x = 330

Simplifying the equation:

5x + 10 + 5x = 330 10x + 10 = 330 10x = 320 x = 32

Therefore, the weight of a gnome without shoes (x) is 32 kg, and the weight of a gnome in shoes (x + 2) is 34 kg.

Answer

The gnome in shoes weighs 34 kg.