Question

A zoo has few numbers of penguins and polar bears. The total number of heads of both of them is 60 and the total number of their feet is 160. How many polar bears are there in the zoo?

Answer 1

Answer:

No. of bears is 20 and the no of penguins is 40.

Step-by-step explanation:

Let the no of bears = X  

and the no of of penguins = Y

So the no of heads of bears and penguins will be X & Y  

And the no of legs of bears and penguins will be 4X & 2Y

According to Question,

X + Y = 60 ...............(1)  

4X + 2Y = 160 ...........(2)

Solving these 2 equations,

from eqn (1)

X = 60 - Y

put value of X in eqn (2)

4 ( 60 - Y ) + 2Y = 160

240 – 4Y + 2Y = 160

2Y = 80

Y = 40

Putting the value of Y=40 in the equation (1), we will get

X + 40 = 60

X = 20

Therefore, No. of bears is 20 and the no of penguins is 40.