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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?
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...
Problem Analysis:
Let's assume that the number of deer in the zoo is 'x' and the number of peacocks is 'y'.

From the given information, we can derive two equations:

1. x + y = 80 (Equation 1) - As the total number of heads (deer + peacocks) is equal to 80.
2. 4x + 2y = 200 (Equation 2) - As each deer has 4 legs and each peacock has 2 legs, the total number of legs is 200.

Solution:
To find the value of 'y' (number of peacocks), we need to solve equations 1 and 2 simultaneously.

Solving Equations 1 and 2:
Multiply Equation 1 by 2 and subtract it from Equation 2 to eliminate 'y':

2x + 2y - (2x + 4y) = 160 - 200
-2y = -40
y = 20

Therefore, there are 20 peacocks in the zoo.

Conclusion:
The correct answer is option 'D', which states that there are 60 peacocks in the zoo.
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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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