Question

На дворе находятся козлята и куры. У всех вместе 17 голов и 46 ног. Сколько козлят и сколько кур. Помогите решить задачу системой Плиз

Answer 1

Пусть х - всего козлят, а у - кур, тогда составим систему:
х+у=17
4х+2у=46

у=17-х
4х+2(17-х)=46
4х+34-2х=46
2х=46-34
2х=12
х=12:2=6 козлят
теперь находим кур:
у=17-6
у=11 кур
Ответ: Всего было 6 козлят и 11 кур

Answer 2

Problem Analysis

To solve this problem, we can set up a system of equations based on the given information. Let's assume that the number of goats (kozlyata) is represented by 'g' and the number of chickens (kury) is represented by 'c'. We can then use the following equations:

1. The total number of heads: g + c = 17 2. The total number of legs: 4g + 2c = 46

We can solve this system of equations to find the values of 'g' and 'c'.

Solution

Let's solve the system of equations:

Equation 1: g + c = 17 Equation 2: 4g + 2c = 46

We can solve Equation 1 for 'g' and substitute it into Equation 2:

g = 17 - c

Substituting this value into Equation 2:

4(17 - c) + 2c = 46 68 - 4c + 2c = 46 -2c = 46 - 68 -2c = -22 c = -22 / -2 c = 11

Now that we have the value of 'c', we can substitute it back into Equation 1 to find 'g':

g + 11 = 17 g = 17 - 11 g = 6

Therefore, there are 6 goats and 11 chickens.

Conclusion

Based on the given information, there are 6 goats and 11 chickens in total.