Answer:
30%. Remember the question is what percentage?
Explanation:
Given Informations:
Men = 90
Women = 60
Total number (men + women) = 150. ...... (1)
For Yes Members,
3/5 of the people said YES.
3/5 of 150 = 90 ....... (2)
This means that out of 150, 90 people said YES.
However, we dont know what ratio are men or women all we can deduce is that 90 said YES.
From the question, 3/10 are women that said YES.
Meaning 3/10 of 90 are women = 27. .. (3)
27 women said YES therefore
90 -27 = 63 Men said YES.
FOR NO Members,
If 90 out of 150 said yes, then 60 said NO.
However, we dont know the ratio of Men and Women that said NO. What we can do is to solve it from the known to the unknown.
For Men,
The total number is 90.
63 said YES, therefore (90 - 63 ) definitely said NO.
= 27 Men said NO (4)
For Women,
The total number of women is 60
27 said YES, Therefore (60 - 27) said NO
= 33 women said NO. ( 5)
The question is what percentage of Men said NO?
Percentage =
number of men that said NO / The total number of Men * 100
= 27/90 * 100
=30%
To Prove the Answer
If you agree with Eq 2, which says 90 people said yes. Therefore, (150 -90) = 60 said NO.
Remeber the 60 is inclusive of Men and Women.
Let's see, if we will get 60 when we add the number of men and women we got that said NO.
Add the value in Eq 4 + Eq 5.
27 + 33 = 60.