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Bunuel
Is the ratio of women to men as members of a certain yoga studio greater than 5?

(1) Women make up 67/81 of the studio's members.
(2) The studio has exactly 42 men who are members.


A) gives us the ratio of women to the total number of members in the studio.
we do not know the exact number of members in the studio. ; hence INSUFFICIENT


Hi,
The studio will either have women or men..
ratio of women is given..
ratio of men= 1-ratio of women= 1-67/81=14/81..
ratio of women: ratio of men= (67/81)/(14/81)=67/14..
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Bunuel
Is the ratio of women to men as members of a certain yoga studio greater than 5?

(1) Women make up 67/81 of the studio's members.
(2) The studio has exactly 42 men who are members.

We need to determine whether the ratio of women to men is greater than 5.

Statement One Alone:

Women make up 67/81 of the studio's members.

Since women make up 67/81 of the members, men make up 81/81 - 67/81 = 14/81 of the members.

Thus, the ratio of women to men is 67/14, which is NOT greater than 5. Statement one alone is sufficient to answer the question.

Statement Two Alone:

The studio has exactly 42 men who are members.

Since we do not know how many members are women, we cannot determine the ratio. Statement two alone is not sufficient to answer the question.

Answer: A
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