Question

there are 100 students jn hostel . food provision for them is for 20 days . how long will these provision last if are only 80 students​

Answer 1

Answer:

Food provision will last in 25 days if there are only 80 students.

Step-by-step explanation:

Given that:

Total number of students in hostel = 100 students.

Food provision for them for 20 days.

Now,

We have to find the number of days the food provision last if there are only 80 students in the hostel:

Unitary method using inverse variation:

∵ 100 students can finish the food in 20 days.

∴ 1 student can finish the food in 20 × 100 = 2000 days.

∴ 80 students can finish the food in 2000/80 = 25 days.

About inverse variation:

Here we see that if the number of students increased then the food decreased and when the number of students decreased then food increased. This is known as inverse variation.

Answer 2

$\huge\bf\underline{Answer}$

Given :-

• For 100 students, food provision is 20 days

To Find :-

• Food provision will last if they are only 80 students

Solution :-

➣ Let the food provision for 80 students be x

➣ As students will decrease food provision will increase

∴ They are In inverse proportion,

⇒ 20 × 100 = 80 × x

⇒ 2000 = 80x

⇒ 2000/80 = x

⇒ 25 = x

➠ x = 25 days

Hence, The provision will last for 25 days