In Springfield High, three out of every four male students and one out

In Springfield High, three out of every four male students and one out of every two female students can speak a foreign language. If the number of male students is two-thirds that of the female students, what fraction of all the students at the school can speak a foreign language?

A. \(\frac{1}{3}\)


B. \(\frac{2}{3}\)


C. \(\frac{1}{2}\)


D. \(\frac{3}{4}\)


E. \(\frac{3}{5}\)


The number of male students is two-thirds that of female students: \(m=\frac{2}{3}f\). This gives us a ratio of \(m:f=2:3\).

Assuming the total number of students is 100, we would have 40 male students and 60 female students, based on the 2:3 ratio.

So, \(\frac{3}{4}*40+\frac{1}{2}*60=60\) students speak foreign language, which is \(\frac{60}{100}=\frac{3}{5}\) of total students.

Given this, \(\frac{3}{4}*40=30\) male students and \(\frac{1}{2}*60\)=30 female students speak a foreign language. This totals to 60 students, which represents \(\frac{60}{100}=\frac{3}{5}\) of all students.


Answer: E