Question

13. 24 litres of milk was distributed equally among all the students of a hostel. If each student
(2/5)
litre of milk, how many students are there in the hostel?
​

Answer 1

Given :-

• 24 litres of milk was distributed equally among all the student of a hostel.
• Each student got 2/5 litre of milk.

To Find :-

• Total number of students.

Solution :-

Given that each student has got 2/5 litre of milk and the total quantity of milk distribution equally among the students was 24 litres. Which means, all the students got their respective quantity of milk from the 24 litres. Hence,

Total number of students can be found in the following way:-

⇒ Total quantity of milk ÷ Amount of milk each student got

⇒ 24 / (2/5)

⇒ 24 × 5/2

⇒ 12 × 5

⇒ 60

Hence, There are 60 students in the hostel.

Verification :-

• Total number of students = 60
• Amount of milk each student has to get = 2/5 litres.

Now, The amount of milk distributed to all the 60 students must be exactly 24 litres.

⇒ No. of students × (2/5)

⇒ 60 × 2/5

⇒ 12 × 2

⇒ 24 litres.

Hence, Proved.

Answer 2

Answer:

Given :-

• 24 litres of milk was distributed equally among all the students of a hostel.
• Each student get 2/5 litre of milk.

To Find :-

• How many students are there in the hostel.

Solution :-

Let,

$\mapsto$ Number of students be x

According to the question,

$\implies \sf \dfrac{24}{x} =\: \dfrac{2}{5}$

By doing cross multiplication we get,

$\implies \sf 2x =\: 5(24)$

$\implies \sf 2x =\: 5 \times 24$

$\implies \sf 2x =\: 120$

$\implies \sf x =\: \dfrac{\cancel{120}}{\cancel{2}}$

$\implies \sf x =\: \dfrac{60}{1}$

$\implies \sf\bold{\red{x =\: 60}}$

As, we assume the number of students as x, so the value of x is 60 students.

$\therefore$ There are 60 students in the hostel.

$\rule{150}{2}$

$\clubsuit$ $\sf\boxed{\bold{\purple{VERIFICATION\: :-}}}$

$\leadsto \sf \dfrac{24}{x} =\: \dfrac{2}{5}$

By doing cross multiplication we get,

$\leadsto \sf 2x =\: 5(24)$

$\leadsto \sf 2x =\: 120$

By putting x = 60 we get,

$\leadsto \sf 2(60) =\: 120$

$\leadsto\sf\bold{\green{120 =\: 120}}$

Hence, Verified.