Mathematics Venn diagram question help! - answers + working out = kudos!

In a survey of 36 people they were asked if they liked raspberries,
strawberries and plums.

24 said they liked raspberries and 26 said that they liked raspberries or
strawberries. 4 liked only plums and 5 liked only raspberries. 5 liked plums
and raspberries but not strawberries. The number liking plums or
raspberries was 29 and number liking plums was equal to the number
liking strawberries.

a) How many liked strawberries but not raspberries?
b) How many liked none of plums, raspberries and strawberries?
c) How many liked strawberries?
d) How many like plums and strawberries but not raspberries?
e) How many liked all three plums, raspberries and strawberries?

a) 2 (which is easy because 26 liked R or S but 24 said they liked S, so 26-24 = 2)

b) 6 (26 liked R or S, and 4 only liked P, so R+S+P = 30, so NONE = 36 - 30 = 6)

c) 16 (4 liked only P, 5 liked only R, 5 liked both (but not S),
so 4+5+5 = 14 like P or R but not S, so 30-14 = 16 liked S.

d) 1 (this is much more complicated without a Venn Diagram)


e) 6 (again, very complicated without the Venn Diagram)


Hopefully with the clues from a through c you should be able to construct the Venn Diagram and confirm the answers to d and e.