In a garden, there are peacocks and four-footed animals. All these hav

1.	In a garden, there are peacocks and four-footed animals. All these have 98 feet and 35 heads. How many peacocks are there?1. 322. 253. 214. 19
Answer» Correct Answer - Option 3 : 21 Concept: Peacock has 2 foots Calculation: Number of heads = 35 So, the total number of peacocks and four-footed animals = 35 Let there be X four-footed animals and Y peacock Total number of feet = total foot of four-footed animals + total foot of peacock 4X + 2Y = 98 ----(i) And Total head = X + Y = 35 ----(ii) Multiply equation (ii) by 2 ⇒ 2X + 2Y = 70 ----(iii) (i) - (iii) ⇒ 2X = 28 or X = 14 Put X = 14 in equation (i) 56 + 2Y = 98 ∴ Y = 42/2 = 21 ∴ Number of peacocks = Y = 21

In a garden, there are peacocks and four-footed animals. All these have 98 feet and 35 heads. How many peacocks are there?1. 322. 253. 214. 19

Answer» Correct Answer - Option 3 : 21

Concept:

Peacock has 2 foots

Calculation:

Number of heads = 35

So, the total number of peacocks and four-footed animals = 35

Let there be X four-footed animals and Y peacock

Total number of feet = total foot of four-footed animals + total foot of peacock

4X + 2Y = 98 ----(i)

And Total head = X + Y = 35 ----(ii)

Multiply equation (ii) by 2

⇒ 2X + 2Y = 70 ----(iii)

(i) - (iii)

⇒ 2X = 28 or X = 14

Put X = 14 in equation (i)

56 + 2Y = 98

∴ Y = 42/2 = 21

∴ Number of peacocks = Y = 21

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