Carcass 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) \(\frac{7}{12}\)
Here,
Let's take the total students = \(48\) (since it is divisible by both 12 and 4)
\(\frac{5}{12}\) of all the students are girls = \(\frac{5}{12} * 48 = 20\) girls
\(\frac{1}{4}\) of all the students are girls take Spanish =\(\frac{1}{4}* 48 = 12\) girls take Spanish
Therefore,
fraction of the girls take Spanish = \(\frac{12}{20} = \frac{3}{5}\)