Word Problem

[crosscountryrunner2]

All Znors are Zmuds. Half of the Zorfs are Zmuds. There are 24 Zorfs. No Zlogs are Znors. There are 16 Zorfs that are not Zlogs. All Zlogs are Zmuds. Half of the Zlogs are Zorfs. No Znors are Zorfs. There are 9 Zmuds that are not Znors or Zorfs or Zlogs. There are 15 Znors. How many Zmuds are there? How many Zmuds are also Zlogs and Zorfs?


I came up with there are 24 zmuds that are also zlogs and zorfs, but I cannot figure the rest of the problem out nor do I know if this answer is correct

 

[lookagain]

(i) I got 44 Zmuds.

(ii) I got 8 Zmuds who are both Zlogs and Zorfs.


(I am in need of a diagram here.)

Edit:
These answers are not verified, and reading this problem was confusing to me.