Question

2) На ферме содержатся коровы, овцы и козы, всего 3400 жи- вотных. Овцы и козы вместе составляют 9/17 всех животных, а козы составляют 2/9 общего числа овец и коз. Сколько на ферме коров, сколько овец и сколько коз?​

Answer 1

Условие:

Всего - 3400

Овцы и козы - 9/17 от всего

Козы - 2/9 от овец и коз вместе

Решение:

9/17 * 3400 = 1800 животных - овцы и козы вместе

2/9 * 1800 = 400 животных - козы

1800 - 400 = 1400 животных - овцы

3400 - 1800 = 1600 животных - коровы

Ответ. 1600 коров, 1400 овец и 400 коз

Answer 2

Ответ см. во вложении. Если есть вопросы - спрашивай, с удовольствием отвечу!

Answer 3

Problem Analysis

We are given that there are cows, sheep, and goats on a farm, with a total of 3400 animals. The sheep and goats together make up 9/17 of all the animals, and the goats make up 2/9 of the total number of sheep and goats. We need to determine the number of cows, sheep, and goats on the farm.

Solution

Let's assume the number of cows is C, the number of sheep is S, and the number of goats is G.

From the given information, we can form the following equations:

1. The total number of animals on the farm is 3400: C + S + G = 3400

2. The sheep and goats together make up 9/17 of all the animals: S + G = (9/17) * (C + S + G)

3. The goats make up 2/9 of the total number of sheep and goats: G = (2/9) * (S + G)

We can solve these equations to find the values of C, S, and G.

Solving the Equations

Let's solve equations (2) and (3) simultaneously to find the values of S and G.

From equation (3), we have: G = (2/9) * (S + G) 9G = 2S + 2G 7G = 2S S = (7/2) * G

Substituting this value of S in equation (2), we have: (7/2) * G + G = (9/17) * (C + (7/2) * G + G) (17/2) * G = (9/17) * (C + (17/2) * G) 34G = 9C + 17G 17G = 9C

From this equation, we can see that G must be a multiple of 9 and C must be a multiple of 17. Let's assume G = 9 and C = 17.

Substituting these values in equation (1), we have: 17 + S + 9 = 3400 S = 3400 - 17 - 9 S = 3374

Therefore, the number of cows is 17, the number of sheep is 3374, and the number of goats is 9.

Answer

On the farm, there are 17 cows, 3374 sheep, and 9 goats.