When the capacity of the bucket is 13.5 litres, 12 buckets of water will fill a tank. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?

Topic Factorisation using identities

Subtopic Factorisation using identities

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answer is D.

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Detailed Solution

Concept: Given that a bucket holds

13.5

litres of water and that it takes

12

buckets to fill a tank, we can simply multiply these two values to get the total volume of the tank, which comes out to be

V = 13.5 \times 12 = 162 .

The tank's volume or capacity is

162

litres as a result.
Now that we know how many buckets will be needed to fill the same tank with a bucket with a 9-litre capacity, we can simply divide it by the total volume of the tank we have. This gives us the answer: Therefore, the number of buckets needed for each bucket to transport 9 litres of water