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In a certain class, 5/12 of all the students are girls and 1/4 of all
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17 Jul 2019, 00:15
17 Jul 2019, 00:15
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In a certain class, 5/12 of all the students are girls and 1/4 of all the students are girls who take Spanish. What fraction of the girls take Spanish?
(A) \(\frac{5}{48}\)
(B) \(\frac{5}{12}\)
(C) \(\frac{2}{5}\)
(D) \(\frac{3}{5}\)
(E) \(\frac{7}{12}\)
(A) \(\frac{5}{48}\)
(B) \(\frac{5}{12}\)
(C) \(\frac{2}{5}\)
(D) \(\frac{3}{5}\)
(E) \(\frac{7}{12}\)
Re: In a certain class, 5/12 of all the students are girls and 1/4 of all
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17 Jul 2019, 00:37
17 Jul 2019, 00:37
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Bunuel wrote:
In a certain class, 5/12 of all the students are girls and 1/4 of all the students are girls who take Spanish. What fraction of the girls take Spanish?
(A) \(\frac{5}{48}\)
(B) \(\frac{5}{12}\)
(C) \(\frac{2}{5}\)
(D) \(\frac{3}{5}\)
(E) \(\frac{7}{12}\)
(A) \(\frac{5}{48}\)
(B) \(\frac{5}{12}\)
(C) \(\frac{2}{5}\)
(D) \(\frac{3}{5}\)
(E) \(\frac{7}{12}\)
Let the total students be x
Girls = \(\frac{5x}{12}\)
Girls who take Spanish = \(\frac{x}{4}\)
Fraction of girls taking Spanish = \(\frac{x}{4} / \frac{5x}{12} = \frac{3}{5}\)
IMO D
General Discussion
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10148
Given Kudos: 4
GMAT 1: 760 Q51 V42
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Re: In a certain class, 5/12 of all the students are girls and 1/4 of all
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10 Sep 2020, 04:46
10 Sep 2020, 04:46
Expert Reply
Let the total number of students be 12 (LCM of 12 and 4)
=> \(\frac{5}{12}\) of all the students are girls: \(\frac{5}{12}\) * 12 = 5
=> \(\frac{1}{4}\) of all the students are girls who take Spanish: \(\frac{1}{4}\) * 12 = 3
=> Fraction of Girls take Spanish: \(\frac{3}{5}\)
Answer D
=> \(\frac{5}{12}\) of all the students are girls: \(\frac{5}{12}\) * 12 = 5
=> \(\frac{1}{4}\) of all the students are girls who take Spanish: \(\frac{1}{4}\) * 12 = 3
=> Fraction of Girls take Spanish: \(\frac{3}{5}\)
Answer D
