There are several chickens and rabbits. It is known that there are 18 more chickens than rabbits, and there are 12 more chicken legs than rabbits. How many chickens and rabbits are there respectively

There are several chickens and rabbits. It is known that there are 18 more chickens than rabbits, and there are 12 more chicken legs than rabbits. How many chickens and rabbits are there respectively


Suppose there are x rabbits, then there are (x + 18) chickens
4X=2(X+18)+12
4X=2X+36+12
2X=48
X=24
The number of chickens is 24 + 18 = 42
A: there are 24 rabbits and 42 chickens
Another solution is as follows
Suppose there are x chickens, then there are (x-18) rabbits
2X=4(X-18)-12
2X=4X-72-12
2X=84
X=42
The number of rabbits is 42-18 = 24
A: there are 24 rabbits and 42 chickens



There are 15 chickens and rabbits in total. There are 46 chickens and 46 rabbits in total. How many chickens and rabbits are there?


There are x chickens and Y rabbits
Then x + y = 15
2X + 4Y = 46 (a chicken has two feet, a rabbit has four feet)
The solution is x = 7, y = 8
A: there are 7 chickens and 8 rabbits



Now the same number of chickens and rabbits live together in a cage. It is known that there are 18 fewer chicken legs than rabbit legs. Q: how many chickens and rabbits are there respectively? How to solve the equation?
Suppose x rabbits


Set X rabbits
4x-2x=18
2x=18
x=9
There are nine chickens and nine rabbits each



There is an old question in Sun Tzu's Suan Jing: chickens and rabbits are in the same cage, with 35 heads on the top and 94 feet on the bottom. How about the geometry of chickens and rabbits


Set X chickens
2x+4(35-x)=94
x=23
So there are 23 chickens and 12 rabbits