There are 25 heads and 78 feet in the same cage. How many chickens and rabbits are there?

There are 25 heads and 78 feet in the same cage. How many chickens and rabbits are there?

Let x chickens and 25-x rabbits, 2x + (25-x) * 4 = 78 2x + 100-4x = 78 2x = 22 x = 11 25-x = 14

There are 25 heads and 64 feet in the same cage. How many chickens and rabbits are there in the cage?

Chicken-x rabbit-y
X+Y=25
2X+4Y=64
Y=7
X=18

Chicken and rabbit have 80 heads and 200 feet. How many chickens and rabbits are there?

If there are x chickens, there are 80-x rabbits
2x+4(80-x)=200
2x+320-4x=200
2x=120
x=60
That is: 60 chickens, 80-60 rabbits = 20