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There are deer and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200. How many peacocks are there ?
  • a)
    20
  • b)
    30
  • c)
    50
  • d)
    60
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
There are deer and peacocks in a zoo. By counting heads they are 80. T...
Let x and y be the number of deer and peacocks in the zoo respectively. Then,
x + y = 80 ...(i) and
4x + 2y = 200 or 2x + y = 100 ...(ii)
Solving (i) and (ii), we get) x = 20, y = 60.
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Most Upvoted Answer
There are deer and peacocks in a zoo. By counting heads they are 80. T...
Given:
- Number of heads = 80
- Total number of legs = 200

Let's assume:
- Number of deer = x
- Number of peacocks = y

Calculating the number of legs:
- Each deer has 4 legs
- Each peacock has 2 legs

So, the total number of legs can be calculated as:
4x + 2y = 200

Calculating the number of heads:
- Each deer has 1 head
- Each peacock also has 1 head

So, the total number of heads can be calculated as:
x + y = 80

Solving the equations:
We have two equations:
4x + 2y = 200 ...(Equation 1)
x + y = 80 ...(Equation 2)

Using substitution method:
- Rearrange Equation 2 as x = 80 - y
- Substitute x in Equation 1:
4(80 - y) + 2y = 200
320 - 4y + 2y = 200
-2y = 200 - 320
-2y = -120
y = -120 / -2
y = 60

Conclusion:
Therefore, the number of peacocks in the zoo is 60. Hence, the correct answer is option D.
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There are deer and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200. How many peacocks are there ?a)20b)30c)50d)60Correct answer is option 'D'. Can you explain this answer?
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