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Vinod has some cows and some hens in his shed. The total number of legs is 92 and total number of heads is 29. Then the number of hens in his shed is
  • a)
    14
  • b)
    12
  • c)
    17
  • d)
    21
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Vinod has some cows and some hens in his shed. The total number of leg...
To solve this problem, we need to use the information given about the total number of legs and heads in order to determine the number of hens in Vinod's shed.

Let's assume that Vinod has x cows and y hens in his shed.

- Total number of legs: Each cow has 4 legs and each hen has 2 legs. Therefore, the total number of legs can be calculated as 4x + 2y.
- Total number of heads: The total number of heads is simply the sum of cows and hens, which can be represented as x + y.

Now, let's use the given information to form equations and solve for x and y.

Equation 1: 4x + 2y = 92 (total number of legs)
Equation 2: x + y = 29 (total number of heads)

We can solve this system of equations through substitution or elimination method.

Substitution method:

From Equation 2, we can express x in terms of y: x = 29 - y.

Substituting this value of x in Equation 1, we get:
4(29 - y) + 2y = 92
116 - 4y + 2y = 92
-2y = 92 - 116
-2y = -24
y = -24/-2
y = 12

Therefore, the number of hens in Vinod's shed is 12.

Hence, the correct answer is option B) 12.
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Community Answer
Vinod has some cows and some hens in his shed. The total number of leg...
Let the total number of hens be ‘x’.
∴ Total number of cows is (29 – x).
According to question
2x + 4(29 – x) = 92
2x + 116 – 4x = 92
∴ 2x = 24
∴ x = 24
Hence the number of hens is 24
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