Question

A school received 6 quintals of rice for a mid-day meal in the month of July. They utilized 475 kg. How many kgs of rice is unutilized?

Answer 1

Hint: The quantity of rice that the school received is equal to 6 quintals. Convert it into kilograms using the relation, \[1\,\text{Quintal=100}\,\text{kilograms}\] . The quantity of rice that is utilized in the school is 475 kgs. Now, calculate the unutilized quantity of rice by deducting the utilized quantity of rice from the total quantity of rice that the school received.

Complete step by step answer:
According to the question, it is given that a school received 6 quintals of rice for a mid-day meal in the month of July. They utilized 475 kg.
The quantity of rice that the school received = 6 quintals ……………………………….(1)
The quantity of rice that is utilized in the school = 475 kgs …………………………………….(2)
We can see that the unit of quantity of rice is in quintals while the unit of the quantity of rice that is utilized in the school is in kgs. So, we need to convert the quantities of rice in the same unit.
We know the relation between kilograms and quintals, 100 kilograms is equals to 1 quintal.
That is, \[1\,\text{Quintal=100}\,\text{kilograms}\] ……………………………..(3)
Now, using equation (3)and converting the quantity of rice in kilograms, we get
The quantity of rice that the school received = 6 quintals = \[6\times 100\,\text{kilograms}\] = 600 kilograms ……………………………………..(4)
From equation (4), we have the quantity of rice that the school received and from equation (2), we have the quantity of rice that is utilized in the school.
The quantity of rice that is unutilized in the school = \[\left( 600-475 \right)\] kgs = 125 kgs.
Hence, the quantity of rice that is unutilized in school is 125 kg.

Note: We can also solve this question by another method.
The quantity of rice that the school received = 6 quintals ……………………………….(1)
The quantity of rice that is utilized in the school = 475 kgs …………………………………….(2)
We know that \[\text{100}\,\text{kilograms=}1\,\text{Quintal}\] .
\[\Rightarrow \text{100}\,\text{kilograms=}1\,\text{Quintal}\]
\[\Rightarrow 1\text{kilograms=}\dfrac{1}{100}\,\text{Quintal}\] ……………………………………(3)
Now, from equation (2) and equation (3), we get
The quantity of rice that is utilized in the school = 475 kgs = \[\dfrac{475}{100}\] quintal = 4.75 quintals……………………………(4)
From equation (1), we have the quantity of rice that the school received and from equation (4), we have the quantity of rice that is utilized in the school.
The quantity of rice that is unutilized in the school = \[\left( 6-4.75 \right)\] quintals = 1.25 quintals.
We know that \[\text{100}\,\text{kilograms=}1\,\text{Quintal}\] .
Therefore, the quantity of rice that is unutilized in the school = \[1.25\times 100=125\] kgs.
Hence, the quantity of rice that is unutilized in school is 1.25 quintals.