Question

Помогите пожалуйста!!!!! 3. За зиму кот поправился на 60% от своей первоначальной массы. Затем к концу весны похудел на 35% по сравнению с массой, которую он имел в конце зимы. Сколько килограммов кот весил в начале зимы, если в конце весны его масса стала равна 5,2 кг?

Answer 1

Ответ:

5

Объяснение:

x- первоначальная масса кота.

0,6х + х = 1,6х - масса к концу зимы

1,6х-(0,35 * 1,6х) = 1,6х - 0,56х = 1,04х -масса к концу весны

1,04х = 5,2

х = 5 кг весил кот до зимы

Answer 2

Объяснение:

Х кг масса в начале зимы

Х+0,6х =1,6х масса в конце зимы

1,6х-0,35×1,6х=1,6х-0,56х=1,04х кг масса в конце весны

1,04Х=5,2

Х=5,2:1,04

Х=5 кг весил в начале зимы

Answer 3

Problem Analysis

We are given that a cat gained 60% of its initial mass over the winter and then lost 35% of its mass compared to the mass it had at the end of winter. We need to determine the cat's initial weight if its mass at the end of spring is 5.2 kg.

Solution

Let's assume the cat's initial weight is W kg.

According to the problem, the cat gained 60% of its initial weight over the winter. Therefore, its weight at the end of winter is W + 0.6W = 1.6W kg.

Next, the cat lost 35% of its weight compared to the weight it had at the end of winter. Therefore, its weight at the end of spring is 1.6W - 0.35(1.6W) = 1.04W kg.

Given that the cat's weight at the end of spring is 5.2 kg, we can set up the following equation:

1.04W = 5.2

To find the value of W, we can divide both sides of the equation by 1.04:

W = 5.2 / 1.04 = 5 kg

Therefore, the cat weighed 5 kg at the beginning of winter.

Answer

The cat weighed 5 kg at the beginning of winter.

Explanation

The cat gained 60% of its initial weight over the winter, which means its weight at the end of winter was 1.6 times its initial weight. Then, the cat lost 35% of its weight compared to the weight it had at the end of winter. Given that the cat's weight at the end of spring is 5.2 kg, we can solve for the initial weight and find that it was 5 kg.