A camp has food for 120 men or 200 children. If 150 children have eaten, how many men can be fed with the remaining food?

Given data

• Food equivalent: 120 men ≡ 200 children
• 150 children have consumed their share

Concept / Approach

• Use equivalence: 1 child = (120/200) man = 3/5 man.
• Convert remaining children-equivalents to men.

Step-by-step calculation

Remaining children-equivalents = 200 − 150 = 50 childrenConvert to men: 50 × (3/5) = 30 men

Verification

Alternatively, per child consumption = 1/200 of stock; leftover = 50/200 = 1/4 stock; 1/4 of 120 men = 30.

Common pitfalls

• Using inverse factor 5/3 instead of 3/5 when converting children to men.

Final Answer

30 men