The total number of lions and peacocks in a zoo is 50 The total number of their legs is 140 Find the number of lions and peacocks in the zoo
Answers
Let, the number of lion be, 'x'
The number of peacock = 50-x
So, the number of legs of the lion = (x*4)
= 4x
The number of legs of peacock = (50-x)*2
= 100-2x
By condition,
4x+100-2x = 140
or, 2x = 140-100
or, 2x = 40
or, x = 40/2
or, x = 20
So, the number of lions is 20.
The number of peacocks = (50-20)
= 30
(Ans): 20 lions and 30 peacocks.
Given information,
Total No. of Lions and peacocks = 50
Total No. of Legs of Lion and Peacocks = 140
To find: Number of Lions and Peacock and Lions in Zoo
-------- ------- ------------- -----------
Let
Total number of Lions = x
Total number of peacocks = y
By first condition,
x + y = 50 -------- (i)
By second condition,
As we know that,
Lion has 4 legs and peacock has 2
Therefore, 4x + 2y = 140
Dividing 4x + 2y = 140 by 2,
=> 2x + y = 70 ------ (ii)
From equation (i) and (ii)
x + y = 50
2x + y = 70
_____________
3x = 120
x = 120/3
x = 20
Therefore, Total number of Lions in zoo are 20
And, Number of peacocks in zoo = (50-x)
= 30
Therefore, Total number of peacocks = 30
Originally answered: https://brainly.in/question/9870014