Three eighth of the students of a class opted for visiting an old age home. Sixteen students opted for having a nature walk. Square root of total number of students in the class opted for tree plan...

Question

Three eighth of the students of a class opted for visiting an old age home. Sixteen students opted for having a nature walk. Square root of total number of students in the class opted for tree plantation in the school. The number of students who visited an old age home is same as the number of students who went for a nature walk and did tree plantation. Find the total number of student.
What values are inculcated in students through such activities?

Philoid · Accepted Answer

Let the total no of students in the class be ‘x’.

Given

Three eighth of the students are visiting an old age home

⇒ No of students visiting an old age home

Sixteen students opted for having a nature walk

⇒ student opted for nature walk = 16

Square root of total number of students opted for plantation

⇒ No of student opted for plantation = √x

Also,

Number of students who visited an old age home is same as the number of students who went for a nature walk and did tree plantation.

⇒ 3x – 128 = 8√x

Let √x = y

Then, above equation becomes

3y² – 128 = 8y

⇒ 3y² – 8y – 128 = 0

⇒ 3y² – 24y + 16y – 128 = 0

⇒ 3y(y – 8) + 16(y – 8) = 0

⇒ (3y + 16)(y – 8) = 0

⇒ y = 8 [fraction value of y is not possible]

⇒ √x = 8

⇒ x = 64

Hence, 64 students are there in the class.

Value shown: Care for the nature and old people, such activities draw student’s attention towards the problems of nature and society.