Question

There are 50 students in a class. Out of this number, 1/10 speak French only and 4/5 of the remainder speak both French and English. If the rest speak English only.
A. Find the number of students who speak:
i) both French and English
ii) only English

Answer 1

i) To find the number of students who speak both French and English, we'll first find the number of students who speak French only and subtract that from the total number of French speakers.

1/10 of 50 students speak French only, so (1/10)*50 = 5 students speak French only.

The remainder of the students speak both French and English, so 4/5 of the remaining students speak both languages, which is (4/5)*(50-5) = 36 students.

Therefore, the number of students who speak both French and English is 36.

ii) The rest of the students who do not speak French or both French and English, speak English only.

To find this number, we subtract the number of French speakers and the number of students who speak both French and English from the total number of students.

So, the number of students who speak only English is 50 - 5 - 36 = 9 students.