Venn Diagram to Find Least and the Maximum Value of French and Spanish Speaking Persons

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Some people were interviewed to find out whether they spoke French, Spanish, French and Spanish, or neither French or Spanish. Given n(E) = 250, n(F) = 80 and n(S) = 220.
Use following Venn Diagram to find
a. Maximum possible value of w,
b. Maximum possible value of z,
c. The maximum possible number of people who spoke both French and Spanish.

[Lyrics]

But everything in the sample space(the box) should add up to 250, , but you are saying everything in the circles should add up to 250, why do you exclude the z

[mominamus]

Can u explain the reason of part b that why it should be necessary that all those speaking french should speak spanish inorder to findmax possible value of z

[HabibUllah-lejs]

Sir l am not getting the concept of this question.

[Twambie.]

When you add w, x and y is giving you 250....that means you have not included z...how is that true?

[mizanuddin]

Maximum value of z is not clear to me? Can you explain for me

[hannahrozaimi]

and why Q(C) the answer is 80? i do not understand

[amanshrestha]

Could you tell me please How max value of w is equals to min value of x?

[kisaki]

Nice nice 👍
But how u get 80 is it 50 + 30

????

[HabibUllah-lejs]

Sir l am not getting the concept of this question.