Question

Плжалуста помогите решить задачу с объяснениемБабушка развела гусейти кроликов. внук посчитал у них вместе 25 голов и 54 лапы. сколько гусей и сколько кроликов было у бабушки?

Answer 1

Ответ:

1. 2 крол.
2. 23 гуся ........................

Answer 2

у кроликов по 4 лапы, у гусей-по 2 лапы

1) 2*25=50 лап «раздали» бы, если бы все были гуси

2) 54-50=4 разница в общем количестве

3) 4-2=2 разница в количестве лап у двух животных

4) 4:2=2 кролика было

5) 25-2=23 было гусей

Ответ: 23 и 2

Answer 3

Problem Analysis

The problem states that a grandmother has geese and rabbits, and her grandson counted a total of 25 heads and 54 legs among them. We need to determine how many geese and how many rabbits the grandmother had.

Let's assume that the number of geese is represented by 'x' and the number of rabbits is represented by 'y'. We can set up a system of equations based on the given information:

Equation 1: x + y = 25 (since the total number of heads is 25) Equation 2: 2x + 4y = 54 (since each goose has 2 legs and each rabbit has 4 legs)

We can solve this system of equations to find the values of 'x' and 'y'.

Solution

To solve the system of equations, we can use the method of substitution or elimination. Let's use the method of substitution:

From Equation 1, we can express 'x' in terms of 'y': x = 25 - y

Substituting this value of 'x' into Equation 2, we get: 2(25 - y) + 4y = 54 50 - 2y + 4y = 54 2y = 4 y = 2

Now, substituting the value of 'y' back into Equation 1, we can find 'x': x + 2 = 25 x = 23

Therefore, the grandmother had 23 geese and 2 rabbits.

Answer: The grandmother had 23 geese and 2 rabbits.

Explanation

The problem can be solved by setting up a system of equations based on the given information. By solving the system of equations, we find that the grandmother had 23 geese and 2 rabbits. This solution satisfies the conditions of the problem, where the total number of heads is 25 and the total number of legs is 54.

I hope this helps! Let me know if you have any further questions.