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All of the members of club Y are either Democrats or Republicans. If 1/2 of the male members and 3/5 of the female

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by BTGmoderatorDC » Thu Mar 11, 2021 4:28 pm

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All of the members of club Y are either Democrats or Republicans. If 1/2 of the male members and 3/5 of the female members are Democrats, what is the ratio of the number of males to the number of females in the club?

(1) In club Y the number of female members is one less than the number of male members.
(2) In club Y the number of male Republican members is equal to the number of female Democratic members.



OA B

Source: GMAT Prep
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Re: All of the members of club Y are either Democrats or Republicans. If 1/2 of the male members and 3/5 of the female

by swerve » Fri Mar 12, 2021 11:30 am
BTGmoderatorDC wrote: ↑
Thu Mar 11, 2021 4:28 pm
 All of the members of club Y are either Democrats or Republicans. If 1/2 of the male members and 3/5 of the female members are Democrats, what is the ratio of the number of males to the number of females in the club?

(1) In club Y the number of female members is one less than the number of male members.
(2) In club Y the number of male Republican members is equal to the number of female Democratic members.



OA B

Source: GMAT Prep
Let the total number of males and females be \(2m\) and \(5f\) respectively.
Given that m males are democrats and m are republicans. Again, \(2f\) are republicans and \(3f\) are democrats.

Statement 1 states that \(5f = 2m-1.\) Clearly Insufficient. \(\Large{\color{red}\chi}\)

Statement 2 states that \(m=3f.\)
Thus, the ratio of number of males to the number of females: \(\dfrac{2m}{5f} = \dfrac{6f}{5f}=\dfrac{6}{5}.\) Sufficient. \(\Large{\color{green}\checkmark}\)

Therefore, B
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