Question 206978
{{{ drawing(200,200,0,200,0,200,
     circle(75,100,70),
     circle(125,100,70),

     locate(30,175,O),
     locate(165,175,C),

     rectangle(1,199,199,1)
) }}}
 
There are 4 separate (mutually exclusive) regions in this diagram: 1) the part inside both circles (their intersection), 2) The part inside O but not inside C, 3) the part inside C but not inside O 4) The part outside both O and C.

Since 22 like both flavors, that number goes in the intersection of O and C.
Since 75 like Cherry, and 22 like both, 75-22=53 like Cherry but not Orange.
Since 94 like Orange, and 22 like both, 94-22=72 like Orange but not Cherry.

{{{ drawing(200,200,0,200,0,200,
     circle(75,100,70),
     circle(125,100,70),

     locate(30,175,O),
     locate(165,175,C),

     rectangle(1,199,199,1), 

     locate(89.5,110, 22),
     locate(155,110, 53),
     locate(33,110, 72),
     locate(20,30, 3)
) }}}

Together the 4 sections include 150 people and the 3 sections so far filled include 22+53+72=147 people, so 150 - 147 = 3 people like neither Orange nor Cherry.
 
The answers to the questions:
a) how many liked only orange flavor?  *** 72
b) how many liked only cherry flavor?  *** 53
c) how many liked either one or the other or both?  *** 147
d) how many liked neither?  *** 3