3/8 of the students of a class opted for visiting an old age home 16 students opted for having - Maths - Quadratic Equations

Question

3/8 of the students of a class opted for visiting an old age home
16 students opted for having a nature walk square root of the 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?

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