Solve this multiple-choice question and choose the correct option.

Given data Let hens = h (2 feet), cows = c (4 feet). Heads: h + c = 48 Feet: 2h + 4c = 140 Concept / Approach Solve the linear system (or use the substitution/elimination method). Step-by-step calculationDivide feet equation by 2: h + 2c = 70Subtract heads: (h + 2c) − (h + c) = 70 − 48 ⇒ c = 22Then h = 48 − 22 = 26 VerificationFeet: 2×26 + 4×22 = 52 + 88 = 140 ✔ Final Answer26

Curioustab

A man has hens and cows. If the total number of heads is 48 and the total number of feet is 140, how many hens are there?

Aptitude Simplification Difficulty: Easy

Choose an option

Answer

Correct Answer: 26

Explanation

Given data

Let hens = h (2 feet), cows = c (4 feet).
Heads: h + c = 48
Feet: 2h + 4c = 140

Concept / Approach

Solve the linear system (or use the substitution/elimination method).

Step-by-step calculationDivide feet equation by 2: h + 2c = 70Subtract heads: (h + 2c) − (h + c) = 70 − 48 ⇒ c = 22Then h = 48 − 22 = 26