Question

На первой фере 112коров, а на второй -102 коровы. При одинаковой норме расхода сена на второй ферме в день расходуется на 160кг сена меньше, чем на первой. Сколько сена расходуется в день на каждой ферме на одну корову? Напишите решения и поеснения пожалуйста!

Answer 1

112-102=10 (на 10 коров больше на 1 ферме)                                                   160:10=16 кг сена расходуют в день на 1 корову                                                Ответ: На 1 корову расходуется 16 кг сена в день

Answer 2

Problem Analysis

We are given two farms, the first farm has 112 cows and the second farm has 102 cows. The second farm consumes 160 kg less hay per day compared to the first farm, assuming the same hay consumption rate. We need to determine the amount of hay consumed per day per cow on each farm.

Solution

Let's assume that the amount of hay consumed per day per cow on the first farm is x kg. Therefore, the total amount of hay consumed on the first farm per day would be 112x kg.

According to the problem, the second farm consumes 160 kg less hay per day compared to the first farm. So, the amount of hay consumed per day per cow on the second farm would be x - 160 kg. Therefore, the total amount of hay consumed on the second farm per day would be 102(x - 160) kg.

To find the value of x, we can set up an equation based on the given information:

112x = 102(x - 160)

Now, let's solve this equation to find the value of x.

112x = 102x - 16320 10x = 16320 x = 1632

Therefore, the amount of hay consumed per day per cow on each farm is: - First farm: 1632 kg - Second farm: 1632 - 160 = 1472 kg

Explanation

The problem states that the second farm consumes 160 kg less hay per day compared to the first farm. This means that for each cow on the second farm, 160 kg less hay is consumed per day compared to each cow on the first farm.

To find the amount of hay consumed per day per cow on each farm, we set up an equation based on the given information. By solving this equation, we find that each cow on the first farm consumes 1632 kg of hay per day, while each cow on the second farm consumes 1472 kg of hay per day.

This solution assumes that the hay consumption rate is the same for all cows on each farm.