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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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Bunuel
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In a certain class, 5/12 of all the students are girls and 1/4 of all [#permalink] New post   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) \(\frac{7}{12}\)
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Re: In a certain class, 5/12 of all the students are girls and 1/4 of all [#permalink] New post   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) \(\frac{7}{12}\)


Let the total students be x
Girls = \(\frac{5x}{12}\)
Girls who take Spanish = \(\frac{x}{4}\)
Fraction of girls taking Spanish = \(\frac{x}{4} / \frac{5x}{12} = \frac{3}{5}\)

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Re: In a certain class, 5/12 of all the students are girls and 1/4 of all [#permalink] New post   30 Sep 2021, 22:12
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Any number that is a multiple of 12(lcm of 4 & 12) can be substituted for the number of students.

Let us assume there are 12 students.

5/12th of them = 5 students are girls

1/4 of all the students are girls who take Spanish

=> 1/4 *12 =3 students are girls who take Spanish

Fraction of the girls take Spanish = Girls that take Spanish / Total girls

= 3/5
(option d)

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Re: In a certain class, 5/12 of all the students are girls and 1/4 of all [#permalink] New post   10 Sep 2020, 04:46
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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
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Re: In a certain class, 5/12 of all the students are girls and 1/4 of all [#permalink] New post   10 Sep 2020, 10:31
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) \(\frac{7}{12}\)

Let there be 24 students

Girls = 10 ; Boys = 14

Spanish (girls) = 6

So, fraction of the girls take Spanish is 6/10 => 3/5 , Answer must be (D)
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Re: In a certain class, 5/12 of all the students are girls and 1/4 of all [#permalink] New post   30 Apr 2023, 19:47
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Re: In a certain class, 5/12 of all the students are girls and 1/4 of all [#permalink]
30 Apr 2023, 19:47
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