Question

Лошадь и корова 7 дней съедают 105 кг сена.за 2 дня лошадь съедает столько сена,сколько корова съедает за 3 дня.сколько сена ежедневно съедают в отдельности лошадь и корова

Answer 1

Х кг - съедает сена лошадь
у кг - съедает сена корова
Составляем систему ур-ний:
2х=3у
7(х+у)=105  
Выражаем х из второго ур-ния:
х+у=105:7
х=15-у
Подставляем значение  х в первое ур-ние:
2(15-у)=3у
30-2у=3у
-5у=-30
у=6 кг -сена съедает корова
х=15-9=9 кг - сена съедает лошадь

Answer 2

Calculation of Daily Hay Consumption

To determine the daily hay consumption of the horse and the cow, we can use the given information that the horse and the cow together consume 105 kg of hay in 7 days. Additionally, we know that the horse consumes the same amount of hay in 2 days as the cow consumes in 3 days.

Let's denote the daily hay consumption of the horse as H and the daily hay consumption of the cow as C.

From the given information, we can set up the following equations:

Equation 1: 7(H + C) = 105 (The horse and the cow together consume 105 kg of hay in 7 days)

Equation 2: 2H = 3C (The horse consumes the same amount of hay in 2 days as the cow consumes in 3 days)

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

From Equation 2, we can express H in terms of C:

H = (3/2)C

Substituting this value of H into Equation 1:

7((3/2)C + C) = 105

Simplifying the equation:

7(5/2)C = 105

35/2C = 105

Multiplying both sides by 2/35:

C = 6

Now, we can substitute the value of C back into Equation 2 to find H:

2H = 3(6)

2H = 18

H = 9

Therefore, the daily hay consumption of the horse is 9 kg and the daily hay consumption of the cow is 6 kg.