Question

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 liters?
A. 8
B. 15
C. 16
D. 18

Answer 1

Hint: First of all find the volume of the tank by using the capacity of per buckert and the total number of buckets are getting used and when we will have the volume of the tank just divide it with the capacity per bucket you are trying to fill the tank with, we will get the exact number of buckets needed.

Complete step by step solution:
We are given that a bucket contains 13.5 litres of water and it takes a total of 12 buckets to fill a tank which means the total volume of the tank can be obtained just by multiplying these two numbers which will eventually become
\[\begin{array}{l}
\therefore V = 13.5 \times 12\\
 \Rightarrow V = 162
\end{array}\]
Therefore the capacity or the volume of the tank is 162 liters.
Now we are told to find that how many buickets will be required to fill the same tank with a bucket whose capacity is 9 liters so for find the value of this we will just have to divide it with the total volume of tank we have
And thus we get it as
Therefore number of buckets for each bucket to carry 9 liters of water \[ = \dfrac{{162}}{9} = 18\]
Which clearly means that option D is the correct option here.

Note: We can also describe this question easily without multiplying and finding the total amount of water can be filled into it. All we need to do is to form an equation. Let us consider that there's a x number of buckets needed to fill the whole tank, which means that we know no matter how many buckets we are using we will fill the same tank so we can write that \[13.5 \times 12 = 9 \times x\] . Now just solve this equation to find the value of x so we will get it as \[x = \dfrac{{13.5 \times 12}}{9} = 18\] So in both the cases we are getting the same answer. Thus option D is the correct answer.