Use the equation to solve the problem of chickens and rabbits in the same cage:

Suppose there are x chickens, then there are (total-x) rabbits, because each rabbit has 4 legs, and each chicken Has 2 legs. Therefore, there are 2x chicken feet and 4 rabbit feet (total number -x).

So we can get the equation: 2x 4 (total number - x) = total sufficient number.

For example: There are several chickens and rabbits in the same cage. Counting from the top, there are 35 heads; counting from the bottom, there are 94 legs. How many chickens and rabbits are there in the cage?

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Suppose there are x rabbits, then there are 35-x chickens.

4x 2(35-x)=94?

4x 70-2x=94?

2x=24?

x =12?

Answer: There are 12 rabbits and 23 chickens.

Extended information:

The rules of the problem of chickens and rabbits in the same cage:

1. (Number of rabbit legs × total number of rabbits - total number of legs) ÷ ( Number of rabbits’ feet – number of chickens’ feet) = number of chickens?

Total number – number of chickens = number of rabbits

2. (Total number of feet – The number of chicken legs × the total number of chickens) ÷ (the number of rabbit legs - the number of chicken legs) = the number of rabbits

The total number of rabbits - the number of rabbits = the number of chickens

3. Total number of feet ÷ 2 - total number of heads = number of rabbits

Total number of legs - number of rabbits = number of chickens

Existence in this question The equality relationships are:

The number of chicken heads and the number of rabbit heads = the total number of heads; the number of chicken feet and the number of rabbit feet = the total number of feet.

Baidu Encyclopedia-Chicken and rabbit in the same cage