In class X of a school there are three sections namely A, B and C. The ratio of students in sections A and B is 3 : 4 and that in sections…

According to question,

A : B = 3 : 4 and B : C = 8 : 9

Now we will find A : B : C

A : B = 3 : 4 ……… (a)

B : C = 8 : 9………..(b)

Multiply equation (a) with 8 and equation (b) with 4, we get-

A : B = 24 : 32 ……………(c)

B : C = 32 : 36 …………….(d)

From (c) and (d), we get-

A : B : C = 24 : 32 : 36 ……….(e)

Total number of students (A + B + C) = 184

From equation (e),

A + B + C = 92

Total no. of students in section A = $(\frac{{24}}{{92}} \times 184 = 48)$