Answer
24 experts
Step-by-step explanation:
As shown in the diagram,we let
U=[Total number of experts who voted]
[tex] \implies n(U)=x [/tex]
This implies that the number of experts who voted for Mr A in terms of x is
[tex] \frac{1}{2}x[/tex]
And in terms of x, the number of experts who voted for Mr B is
[tex] \frac{2}{3}x [/tex]
From the diagram, we can write the below equation,
[tex]x= \frac{1}{2}x - 10 + 10 + \frac{2}{3}x - 10 + 6[/tex]
[tex] x - \frac{1}{2}x - \frac{2}{3}x = 4 [/tex]
We multiply through by the L.C.M (is that 6) to get,
[tex]6x - 3x - 2x = 24[/tex]
[tex]x = 24[/tex]
