There are several chickens and rabbits in the cage. There are 46 heads from the top and 128 feet from the bottom. How many chickens and rabbits are there in the cage

There are several chickens and rabbits in the cage. There are 46 heads from the top and 128 feet from the bottom. How many chickens and rabbits are there in the cage


Method 1: suppose all chickens are chickens, then rabbits have: (128-46 × 2) / (4-2), = 36 △ 2, = 18 (chickens), then chickens have: 46-18 = 28 (chickens). Method 2: suppose x chickens, then rabbits have 46-x, according to the equation: 2x + (46-x) × 4 = 128, & nbsp; & nbsp; & nbsp; & nbsp; 2x-4x + 184 = 128, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; The & nbsp & nbsp; & nbsp & nbsp & nbsp; and & nbsp; & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp; the & amp & nbsp & nbsp; the & amp & nbsp & amp & nbsp & nbsp; the & nbsp & nbsp & amp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp; the & amp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp & nbsp; & & nbsp & nbsp & nbsp & nbsp there are 28 chickens and 18 rabbits



Now there are some chickens and rabbits in the same cage. The chickens and rabbits have 35 heads and 94 feet. How many chickens and rabbits are there? The solution of the equation


Suppose there are x chickens
2X+4(35-X)=94
2X+140-4X=94
2X=46
X=23
There are 23 chickens and 12 rabbits



There are 40 chickens and rabbits in the cage. There are 8 more chicken feet than rabbit feet. How many chickens and rabbits are there respectively? (use equation solution)


In the case of X chickens, there are:
2x-4(40-x)=8;
2x-160+4x=8;
6x=168;
x=28;
So there are 28 chickens and 12 rabbits
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