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?
This questions was previously asked in
SSC MTS 14th July 2022 Shift-3
Explanation:
- There are three humans in the household.
- Each human has 2 legs, contributing 3 x 2 = 6 legs.
- Let the number of cats be "x".
- The number of dogs would then be twice the number of cats, or "2x".
- Cats have 4 legs each, and dogs also have 4 legs each.
- Therefore, the total leg count from cats is 4x, and from dogs is 4(2x) = 8x.
- Overall leg count: Human legs (6) + Cat legs (4x) + Dog legs (8x) = 42.
- Simplify the equation: 6 + 12x = 42.
- Reduce: 12x = 36.
- Divide by 12: x = 3.
- ?? Correct Answer: Option 4: 3
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