Question : Rewa has some hens and some goats. If the total number of animal heads is 100 and the total number of animal feet is 348, then what is the total number of goats with Rewa?
Option 1: 76
Option 2: 74
Option 3: 55
Option 4: 80
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Correct Answer: 74
Solution :
As per fact hens and goats each have one head, 2 legs, and 4 legs respectively.
Let the number of hens be $x$.
⇒ Number of goats be $y$.
According to the question,
$x + y = 100$---(1) [Total heads = 100]
Also $2x + 4y = 348$---(2) [total feets = 348]
⇒ $x+2y=174$
From equation 1, we can write,
⇒ $100-y+2y=174$
⇒ $y = 74$
Hence, the correct answer is 74.
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