SOLUTION: In an international library there are 400 employees: There are 150 men, 276 university graduates, 212 married persons. 94 male University graduates, 151 married Universit

Question 1151778: In an international library there are 400 employees:
There are 150 men,
276 university graduates,
212 married persons.
94 male University graduates,
151 married University graduates.
Find the number of single women who are not University graduates.
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!
In an international library there are 400 employees:
There are 150 men,
276 university graduates,
212 married persons.
94 male University graduates,
151 married University graduates.
Find the number of single women who are not University graduates.

Here is the Venn diagram:



Let the upper rectangle be the set of men (males)
Let the lower rectangle be the set of women (females)
Let the red circle be the set of university graduates
Let the blue circle be the set of married persons.


a = the number of single male university graduates.
b = the number of married male university graduates.
c = the number of married male non-university graduates.
d = the number of single female university graduates.
e = the number of married female university graduates.
f = the number of married female non-university graduates.
g = the number of single male non-university graduates.
h = the number of single female non-university graduates.

We are to find h, the number of single women who are not University graduates.

You must have left something out.  Your problem is not unique.  
Here are three different correct solutions. There are many others as well:

First solution, the number of single women who are not University graduates
is 32.



Second solution, the number of single women who are not University graduates
is 43.



Third solution, the number of single women who are not University graduates
is 27.



Edwin

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