Question

Out of \[24\,Kg\] of wheat, \[{\left( {\dfrac{5}{6}} \right)^{th}}\] of wheat is consumed. Find how much wheat is still left?

Answer 1

Hint: In this particular question, we have given wheat and a part of that wheat is consumed and then asked for the remaining wheat. In order to solve this question first, we write the total wheat and then we find the consumed wheat that is by multiplying the total wheat and the given fraction. And then we subtract consumed wheat from the total wheat in order to find the remaining wheat.

Complete step by step answer:
We have given \[24\,Kg\] of weight. And asked for the remaining wheat if \[{\left( {\dfrac{5}{6}} \right)^{th}}\] part of the total wheat is consumed.
Total wheat \[ = 24\,Kg\]
Now we are going to find the consumed wheat of total wheat.Consumed wheat is the multiplication of the total wheat and fraction used. Total wheat is \[{\left( {\dfrac{5}{6}} \right)^{th}}\] of total wheat.
Consumed wheat \[ = \dfrac{5}{6} \times 24\]
On further calculation.
Consumed wheat \[ = 5 \times 4\]
On multiplying both the numbers.
Consumed wheat \[ = 20\,Kg\]
The remaining wheat is the mode of difference between total wheat and consumed wheat.
Remaining wheat \[ = \] total wheat \[ - \] consumed wheat
Remaining wheat \[ = 24\,Kg - 20\,Kg\]
Remaining wheat \[ = 4\,Kg\]

Therefore, total remaining wheat remaining after \[{\left( {\dfrac{5}{6}} \right)^{th}}\] is consumed of \[24\,Kg\] is \[4\,Kg\].

Note: Although this question is very easy any student is able to solve these types of questions. But question language is also changed like the total wheat and remaining wheat is given and asked to find out how much fraction is used or how much percent is used and many more questions are formed from this equation.