Question

На прокормление 8 лошадей и 15 коров отпускали ежедневно 162 кг сена. Сколько сена ежедневно выдавали каждой лошади и каждой корове, если известно, что 5 лошадей получали сена на 3 кг больше, чем 7 коров.

Answer 1

Л-количество сена, которая получала лошадь в день. К -корова.
5Л=7К+3  Л=7К/5+3/5
8Л+15К=162
56К/5+24/5+15К=162
56К+75К+24=162*5
131К=810-24  131К=786  К=6 Л=42/5+3/5=9
Ответ: Лошадь 9 кг  Корова 6 кг

Answer 2

Calculation of Daily Hay Distribution for Horses and Cows

To calculate the amount of hay distributed daily to each horse and cow, we need to consider the total amount of hay (162 kg) and the difference in hay consumption between horses and cows.

Let's denote the amount of hay given to each cow as x kg. Since 5 horses receive 3 kg more hay than 7 cows, we can express the amount of hay given to each horse as x + 3 kg.

To find the value of x, we can set up an equation based on the total amount of hay:

8 horses * (x + 3 kg) + 15 cows * x = 162 kg

Simplifying the equation, we get:

8x + 24 + 15x = 162

Combining like terms:

23x + 24 = 162

Subtracting 24 from both sides:

23x = 138

Dividing both sides by 23:

x = 6

Therefore, each cow receives 6 kg of hay, and each horse receives 6 + 3 = 9 kg of hay.

Answer:

Each horse and cow were given the following amounts of hay daily: - Horses: 9 kg of hay - Cows: 6 kg of hay

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