Question

Кочан капусты на 2/3 кг тяжелее 2/3 этого кочана. Сколько весит кочан? Дайте ответ в граммах.

Answer 1

Х весит кочан Х-(2/3)х=2/3 х=2

Answer 2

Problem Analysis

We are given that a cabbage head is 2/3 kg heavier than 2/3 of its weight. We need to determine the weight of the cabbage head in grams.

Solution

Let's assume the weight of the cabbage head is x kg.

According to the given information, the cabbage head is 2/3 kg heavier than 2/3 of its weight. Mathematically, we can represent this as:

x = (2/3)x + 2/3

To solve this equation, we can multiply both sides by 3 to eliminate the fractions:

3x = 2x + 2

Now, we can subtract 2x from both sides:

3x - 2x = 2

Simplifying further:

x = 2

Therefore, the weight of the cabbage head is 2 kg.

To convert this weight to grams, we can multiply it by 1000:

2 kg * 1000 = 2000 grams

So, the weight of the cabbage head is 2000 grams.

Answer

The weight of the cabbage head is 2000 grams.