Question

У овец и кур вместе 36 голов и 100 ног . Сколько овец?

Answer 1

Ищем сколько ног лишние у овец :

1) 4 - 2 = 2

Ищем сколько было бы всего ног если бы все были овцами :

2) 36 × 4 = 144

Ищем сколько лишних ног :

3) 144 - 100 = 44

Ищем сколько всего куриц :

4) 44 ÷ 2 = 22

Ищем сколько всего овец :

5) 36 - 22 = 14

Ответ : 14 овец и 22 курицы.

Answer 2

Ответ:

14 овец.

Пошаговое объяснение:

Пусть овец х, а кур у. То, получим

х+у=36

отсюда

у=36-х

Т.к. ног у овец 4, то получим 4х,

а ног у кур 2, то получим 2у

Тогда составим уравнение:

4*х + 2*у = 100

значение у подставим в уравнение и получим

4*х + 2*(36 - х) = 100

4*х + 72-2 х = 100

2*х = 100 - 72.

2*х = 28.

х = 28 / 2 = 14  - овец

Ответ: 14 овец

Answer 3

Problem Analysis

We are given that there are a total of 36 heads and 100 legs among sheep and chickens. We need to determine the number of sheep.

Solution

Let's assume that the number of sheep is represented by x. Since each sheep has one head and four legs, the total number of sheep legs can be calculated as 4 * x.

Similarly, let's assume that the number of chickens is represented by y. Since each chicken has one head and two legs, the total number of chicken legs can be calculated as 2 * y.

According to the given information, the total number of heads is 36, which can be represented as x + y = 36.

Additionally, the total number of legs is 100, which can be represented as 4 * x + 2 * y = 100.

We can solve these two equations simultaneously to find the values of x and y.

Solution Steps

1. Start with the equations: - x + y = 36 - 4 * x + 2 * y = 100

2. Solve the first equation for y: - y = 36 - x

3. Substitute the value of y in the second equation: - 4 * x + 2 * (36 - x) = 100

4. Simplify the equation: - 4 * x + 72 - 2 * x = 100 - 2 * x = 28 - x = 14

5. Substitute the value of x in the first equation to find y: - 14 + y = 36 - y = 22

Answer

There are 14 sheep and 22 chickens.