a) 162
b) 108
c) 96
d) 54
Answer: a
Explanation: Let the number of students in the classes be 2x, 3x and 4x respectively;
Total students = 2x + 3x + 4x = 9x
$$\eqalign{
& \frac{{ {2x + 12} }}{{ {3x + 12} }} = \frac{8}{{11}} \cr
& \,24x + 96 = 22x + 132 \cr
& \,2x = 132 – 96 \cr
& \,x = \frac{{36}}{2} = 18 \cr
& {\text{Original}}\,{\text{number}}\,{\text{of}}\,{\text{students}}, \cr
& 9x = 9 \times 18 \cr
& \,\,\,\,\,\,\,\, = 162 \cr} $$
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