To fill a tank, 25 buckets of water are required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present capacity?
Let's assume the capacity of each bucket is 'x'.
- Therefore, the capacity of 25 buckets will be 25x.
- Now, the capacity of the bucket is reduced to two-fifth of its present, so the new capacity of the bucket will be (2/5)x.
To find the new number of buckets required to fill the tank,
we can use the formula: New number of buckets = Tank capacity / Capacity of each bucket
- The tank capacity remains the same, so it is still 25x.
- The capacity of each bucket is now (2/5)x. Therefore, the new number of buckets required will be:
New number of buckets = 25x / (2/5)x = (25x * 5/2x) = 62.5
Therefore, 62.5 buckets of water will be required to fill the same tank with the reduced capacity bucket. Hence, the correct answer is option (c) 62.5.
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