Answer:
32 chickens
Explanation:
Let
The number of cows = x
The number of chickens = y
A farm raises cows and chickens. The farmer has a total of 46 animals.
x + y= 46..... Equation 1
x = 46 - y
Number of legs of chickens = 2
Number of legs of cows = 4
One day he counts the legs of all his animals and realizes he has a total of 156 legs.
Hence:
2x + 4y = 156.... Equation 2
We substitute 46 - y for x in Equation 2
2(46 - y) + 4y = 156
92 - 2y + 4y = 156
- 2y + 4y = 156 - 92
2y = 64
y = 64/2
y = 32
Solving for x
x = 46 - y
x = 46 - 32
x = 14
The number of cows = x = 14 cows
The number of chickens = y = 32 chickens
Therefore, the number of chickens that the farmer has is 32 chickens