Question

In a hostel mess,\[50\] kg rice is consumed every day. If each student gets \[400\] gm of rice per day, find the number of students who take meals in the hostel mess.

Answer 1

Hint: In the given question, we have to find out the number of students taking meals in the hostel mess. To solve the question, first note down the total quantity of rice consumed every day. After doing so, note down the quantity of rice each student gets. Then, the number of students will be equal to the division of total quantity of rice consumed every day by the quantity of rice consumed by each student.

Complete step-by-step answer:
Total amount of rice consumed everyday
${
   = 50kg \\
   = (50 \times 1000)gram \\
   = 50000gram \\
} $ [ since, $1kg = 1000gram$]
And the amount of rice consumed by $1$ student $ = 400gram$.
Therefore, number of students = quantity of rice consumed everyday/quantity of rice consumed by each student
$ = \dfrac{{50000}}{{400}}$[ dividing total amount of rice by amount of rice consumed by each student]
$ = 125$

$\therefore $Total number of students are $125$.

Note: Alternative method-
Let us assume no. of students who can have the food be x.
So, by using Rule of three method we can say that,
If 400 gram of rice is consumed by 1 student.
Amount of rice (in gram) No. of students who can consume
  400 1
50000 x
$ \Rightarrow 1:400::x:50000$$ \Rightarrow 1:400::x:50000$
As no. of students & amount of rice is directly proportional to each other,
$ \Rightarrow \dfrac{1}{{400}} = \dfrac{x}{{50000}}$ [ By cross multiplication]
$ \Rightarrow x = \dfrac{{50000}}{{400}} = 125$
Hence, 125 students can consume $50kg$ of rice.
Arithmetic unit conversion, simple division method or Rule of three can be applied here.