Question

Shraddha needs 6 containers which can hold 15600 oil. Find the capacity of each container.
A. 2500
B. 2600
C. 3200
D. 152100

Answer 1

Hint: We use the concept of unitary method to find the capacity of each container by dividing the total quantity of oil by number of containers available.
* Unitary method helps us to find the value of a single unit when we are given the value of multiple units by dividing the value of multiple units by the number of units given.

Complete step-by-step answer:
We are given the statement of the question that Shraddha needs 6 containers which can hold 15600oil.
\[ \Rightarrow \]We are given the quantity of oil \[ = 15600\]units.
Since, Shraddha needs 6 containers to hold the total quantity of oil,
So the number of containers \[ = 6\]
We know unitary methods help us to find the value of a single unit when we are given the value of multiple units by dividing the value of multiple units by number of units.
\[ \Rightarrow \]Capacity of each container \[ = \]Total quantity of oil \[/\]number of containers
Substitute the value of total quantity as 15600 and number of containers as 6
\[ \Rightarrow \]Capacity of each container \[ = \dfrac{{15600}}{6}\]
\[ \Rightarrow \]Capacity of each container \[ = \dfrac{{2600 \times 6}}{6}\]
Cancel same factors from numerator and denominator of RHS
\[ \Rightarrow \]Capacity of each container \[ = 2600\]
\[\therefore \]Capacity of each container is 2600 units.

Option B is the correct answer.

Note: Students many times make mistake when they have to cancel factors from numerator and denominator, in case where denominator is small we can either divide the numerator by denominator or write the numerator as a factor of denominator and other factor so we can cancel same factors easily. Always write the unit of capacity given in the question along with the final answer.