Q Three eighth of the students of a class opted for visiting an old age home Sixteen students - Maths - Quadratic Equations

Question

Q 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 the 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 ?

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