Question

Farmer Bob has pigs and chickens. He has 37 animals, and there are 124 legs among them altogether. How

many chickens does Bob have?

Answer 1

Answer: 12 Chickens

Explanation:

Let ‘x’ be the No. Of Chickens
Let ‘y’ be the No. Of Pigs

Total = 37 Animals
Total No. of Legs = 124

We know, a Chicken has 2 legs and a Pig has 4 legs.

Framing the Equations :-

=> x + y = 37 (Eq. 1)
=> 2x + 4y = 124 (Eq. 2)

Therefore, from Eq. 1 :-

x + y = 37
=> x = 37 - y (Eq. 3)

Substitute value of ‘x’ from Eq. 3 in 2 :-

2x + 4y = 124
2(37 - y) + 4y = 124
74 - 2y + 4y = 124
74 + 2y = 124
2y = 124 - 74
2y = 50
y = 50/2
=> y = 25

Substitute value of ‘y’ in Eq. 3 :-

x = 37 - y
x = 37 - (25)
=> x = 12

Therefore,
No. Of Chickens = 12
No. Of Pigs = 25

Answer 2

There are 25 pigs and 12 chickens. This is the answer because pigs each have four legs, while chickens have two legs. This problem can be set up by a system of equations to easily find the answer:

x + y = 37; 4x + 2y = 124

To save time, the answer to this system of equations is x = 25, and y = 12. Because pigs have four legs, this means there are 25 pigs (as represented in the system of equations) and there are 12 chickens because they each have two legs.

Your final answer: There are 25 pigs and 12 chickens.