Question

A container is \[\dfrac{2}{3}\] full of water. If the container holds \[12\] litres of water, then how much water is in the container?

Answer 1

Hint:Try to solve it using the unitary method. The unitary method is a process of solving a question by finding the value of a single unit, and then finding the other required values by multiplying the single unit value.

Complete step by step solution:
According to the question, the total amount of water that the container can hold is 12 litres.
Right now, the amount of water in the container is \[\dfrac{2}{3}\] full of water. This means that the container is having \[\dfrac{2}{3}\] amount of water from the total water capacity of the container.
So, if we want to calculate the amount of water in the container then we have to multiply
\[\dfrac{2}{3}\] with \[12\]. This will give us:
\[\dfrac{2}{3} \cdot 12\]
On cancelling the terms, we get:
\[ \Rightarrow 2 \cdot 4 = 8\] litres
So, the result is 8 litres. And now, we can say that the container can have 8 litres of water.
Additional information: For better and easy understanding, we should always write the things which we are going to calculate on the right-hand side and things which are given through the question on the left-hand side.

Note: Here in this question, it tells us that when we divide the whole sum which is 12 in 3 equal parts in which each part is having 4 litres, then we are taking 2 parts of it which is 8 litres from the answer. Thus, the result comes as 8 litres.