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QHow many hens are in a poultry farm with hens and pigs, given that Rohan can see 84 heads and 282 legs?

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#4450Q ID
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  • A 34 ✔ ✖
  • B 28 ✔ ✖
  • C 27 ✔ ✖
  • D 45 ✔ ✖
Correct Answer

Explanation

Let H be the number of hens and P be the number of pigs. The first equation is:

H + P = 84 (1)

The second equation is:

2H + 4P = 282 (2)

We can solve for P by dividing equation (2) by 2, which gives us:

H + 2P = 141 (3)

Subtracting equation (1) from equation (3) gives us:

H + 2P - H - P = 141 - 84

P = 57

Substituting this value for P into equation (1) gives us:

H + 57 = 84

H = 84 - 57

H = 27

Therefore, there are 27 hens in the poultry farm.

I hope this rephrased version makes the solution more clear. Let me know if you have any further questions.

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