1. (Number of rabbit's feet x total number of feet - total number of feet) ÷ (number of rabbit's feet - number of chicken's feet) = number of chickens

Total number of feet - number of chickens = number of rabbits

2. (Total number of feet - number of chicken's feet x total number of feet) ÷ (number of rabbit's feet - number of chicken's feet) = number of rabbits

Total number of feet - number of rabbits = number of chickens

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

Total number of feet - number of rabbits = number of chickens

4, 4 x + 2 (total number - x) = total number of legs (x = rabbits, total number - x = number of chickens, used in equations)

5, Let there be chickens and rabbits in the cage ***A, **** has B legs.

First solution: (B-2A)/(4-2) = number of rabbits, A - number of rabbits = number of chickens .

The second solution: (B-4A)/(4-2) = number of chickens, A - number of chickens = number of rabbits .

Extension:

History:

The chicken and the rabbit in the same cage is one of the most famous math problems in ancient China. About 1500 years ago, this interesting problem was recorded. It is recounted like this: Now there is a pheasant and rabbit in the same cage, with thirty-five heads on the top and ninety-four feet on the bottom, so I ask what is the geometry of each of the pheasants and rabbits?

Meaning: There are a number of chickens and rabbits in the same cage, counting from the top, there are 35 heads, counting from the bottom, there are 94 feet. How many chickens and rabbits are in the cage?

There is a simplest algorithm for counting this:

(total feet - total heads x number of feet of chickens) ÷ (number of feet of rabbits - number of feet of chickens) = number of rabbits

(94-35 x 2) ÷ 2 = 12 (number of rabbits) Total number of heads (35) - number of rabbits (12) = number of chickens (23)

The total number of heads (35) - number of rabbits (12) = number of chickens (23)< /p>

Explanation: Let the rabbit and the chicken lift both feet at the same time, so that the feet in the cage are reduced by the total number of heads x 2. Since the chicken has only 2 feet, only the two feet of the rabbit are left in the cage, and then ÷ 2 is the number of rabbits.

Baidu Encyclopedia - Chickens and Rabbits in the Same Cage