A zoo keeper counted the heads of the animals in a zoo and found it to be 80. When he counted the legs of the animals he found it to be 260. If the zoo had either pigeons or horses, how many horses are there in the zoo.
Answers
as pigeons have 2 and horses have 4 legs
then ATQ
x+y=80 and
2x+4y=260
solve this by elimination method
there are 50 horses and 30 pigeons
Given:
The number of heads of the animals in a zoo=80
The number of legs of the animals=260
To find:
The number of horses in the zoo
Solution:
The number of horses in the zoo is 50.
We can find the number by following the given steps-
We know that the number of horses can be calculated by making equations and solving them
Let the number of pigeons in the zoo be x and the number of horses is y.
The total number of animals in the zoo=Number of pigeons+ number of horses
=x+y
We are given that the total number of animals in the zoo is 80.
So, x+y=80 (1)
Now, a pigeon has two legs and a horse has four legs.
The total number of legs of animals in the zoo=260
the total number of legs=Number of legs of pigeons+number of legs of horses
=2x+4y
So, 2x+4y=260 (2)
We will solve the two equations,
2x+2y=160
2x+4y=260
On subtracting, we get
2y=100
y=50
The number of horses, y=50
Therefore, the number of horses in the zoo is 50.