Question : A household of three humans has cats and dogs in the ratio 1 : 2. If the total number of legs in the household is 42, what is the total number of cats in the household?
Option 1: 12
Option 2: 6
Option 3: 9
Option 4: 3
Correct Answer: 3
Solution :
Given: A household of three humans has cats and dogs in a ratio 1 : 2.
Let the number of cats and dogs be $x$ and $2x$.
The total number of legs in the household is 42.
According to the question,
$3\times 2+4x+2x\times 4=42$
⇒ $6+4x+8x=42$
⇒ $12x=42-6$
⇒ $12x=36$
⇒ $x=3$
Hence, the correct answer is 3.
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