Question

Во дворе гуляют кролики и куры, кур на 8 больше чем кроликов.У них 46 ног Сколько во дворе кроликов, кур?

Answer 1

1) Курицы -2 лапы
2) Кролики - 4 лапы
х - кроликов,
лап у кроликов= 4х
Кур  х+8 ,
лап у кур = 2(х + 8) = 2х + 16
Уравнение:
4х+2х+16=46
6х = 46-16
6х=30
х= 30:6
х=5 кроликов
 5+8=13 кур
Ответ: 5 кроликов, 13 кур.

Answer 2

Problem Analysis

We are given that there are rabbits and chickens in a yard, and the number of chickens is 8 more than the number of rabbits. We also know that there are a total of 46 legs in the yard. We need to determine the number of rabbits and chickens in the yard.

Solution

Let's assume the number of rabbits is x. Since the number of chickens is 8 more than the number of rabbits, the number of chickens can be represented as x + 8.

Rabbits have 4 legs each, and chickens have 2 legs each. The total number of legs in the yard is 46. We can set up the following equation to represent this information:

4x + 2(x + 8) = 46

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

Equation Solution

Expanding the equation, we get:

4x + 2x + 16 = 46

Combining like terms, we have:

6x + 16 = 46

Subtracting 16 from both sides, we get:

6x = 30

Dividing both sides by 6, we find:

x = 5

Therefore, there are 5 rabbits in the yard.

To find the number of chickens, we can substitute the value of x into the expression x + 8:

5 + 8 = 13

Therefore, there are 13 chickens in the yard.

Answer

There are 5 rabbits and 13 chickens in the yard.

Verification

Let's verify our answer using the given information.

The number of rabbits is 5, and the number of chickens is 13. The number of legs for each rabbit is 4, and the number of legs for each chicken is 2.

The total number of legs can be calculated as follows:

Total number of legs = (Number of rabbits * Legs per rabbit) + (Number of chickens * Legs per chicken)

Substituting the values, we have:

Total number of legs = (5 * 4) + (13 * 2) = 20 + 26 = 46

The total number of legs matches the given information, which confirms that our answer is correct.

Conclusion

There are 5 rabbits and 13 chickens in the yard.