A tank takes 25 buckets to fill. If bucket capacity is reduced to two-fifths of the present, how many buckets are needed to fill the tank?

Given data

• Current requirement = 25 buckets.
• New bucket capacity = two-fifths of the current capacity.

Concept / Approach

• For a fixed tank volume, the number of buckets required is inversely proportional to the capacity per bucket.

Step-by-step calculation

Let each current bucket hold C units. Tank volume V = 25C.New bucket capacity = (2/5)C.Required buckets N = V / [(2/5)C] = (25C) / ((2/5)C) = 25 × (5/2) = 62.5.

Verification

Halving capacity would double buckets to 50; reducing to two-fifths is even smaller capacity, so count should be 25 × 2.5 = 62.5 (consistent).

Common pitfalls

• Multiplying by 2/5 instead of dividing by 2/5 (remember inverse proportionality).
• Forcing an integer answer; the arithmetic result is 62.5.

Final Answer

62.5 buckets.