Question

In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal?

• A. \(20\)
• B. \(30\)
• C. \(40\)
• D. \(50\)
• E. \(60\)

Answer 1

The Correct Option is B

Concept: This is a
unitary method problem:

• Total food is constant
• Convert everything into one unit (children or men)

Step 1: Convert men into children.
\[ 120 \text{ men} = 200 \text{ children} \] \[ 1 \text{ man} = \frac{200}{120} = \frac{5}{3} \text{ children} \]
Step 2: Find remaining food.
\[ \text{Total} = 200 \text{ children} \] \[ \text{Consumed} = 150 \text{ children} \] \[ \text{Remaining} = 200 - 150 = 50 \text{ children} \]
Step 3: Convert to men.
\[ \text{Men} = \frac{50}{5/3} = 50 \times \frac{3}{5} = 30 \]
Step 4: Option analysis.

• (A) 20: Under-calculated $\times$
• (B) 30: Correct \checkmark
• (C) 40: Incorrect $\times$
• (D) 50: Ignoring conversion $\times$
• (E) 60: Incorrect $\times$

Conclusion:
Thus, the correct answer is
Option (B).