three eighty of the students of a class opted for visiting an old age home Sixteen students opted - Maths - Surface Areas and Volumes

Question

three eighty 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 the 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 students What
values are inculcated in students through such activities?

BHATI OO7

Varun.Rawat · Accepted Answer

Let the total number of students = xNumber of students who visited old age home = 3x8Number of student who went for nature walk = 16Number of students who opte for tree plantation = xAccording to question :3x8 = 16 + x⇒3x8 - 16 = x⇒3x - 128 = 8x⇒3x-1282 = 64x⇒9x2 + 16384 - 768x = 64x⇒9x2-832x + 16384 = 0⇒9x2-576x-256x+16384 = 0⇒9xx - 64 - 256x-64 = 0⇒x-649x-256 = 0⇒x - 64 = 0  or  9x - 256 = 0⇒x = 64  or x = 2569  rejectedSo, total number of students = 64