Question

There are deer and peacock in the zoo. By counting heads, they are 52, the number of their legs is 176. Number of peacock are
(a) 12
(b) 16
(c) 20
(d) 36

please answer the question asap and explain it also​

Answer 1

Answer:

36

Explanation :

no. of head 52

no. of legs 176

peacock have 2 legs

deer has four legs

so, let's first count the no. of legs of both (count only two legs of each deer)

52+52=104

176-104=72

104-72=36

hence the no. of legs of peacock is 36

HOPE SO IT HELPED YOU❤❤❤

Answer 2

Given:

There are deer and peacock in the zoo.

By counting heads, they are 52.

The number of their legs is 176.

To find:

The Number of peacock.

Solution:

Let, 'x' be the number of peacock and 'y' be the number of deer.

By counting the number of heads, they are 52.

x + y = 52             ----------------- Eq (1)              

Peacock has two legs and deer has four legs.

In counting, the total number of legs is 176.

Therefore,

2x + 4y = 176          ----------------- Eq (2)    

Solving Equation (1) and (2) with coeffecient of y,

[ x + y - 52 ] × 4 = [2x + 4y - 176] × 1

Therefore,

4x + 4y - 208 = 2x + 4y - 176      

4x + 4y - 208 - 2x - 4y + 176  = 0  

2x - 36 = 0

2x = 36

x = $\frac{32}{2}$

x = 16

The Number of peacock = 16

Final answer:

There are 16 peacocks in the zoo.

Thus, The correct option is (b) 16