2/5 of the students in a school study French, 3/4 of the remainder study Latin. If 195 students study no language, how many learn latin?

Question

This is a about addition, subtraction, division and multiplication of fraction. 

Answer 1

If 2/5 study French.. Then 3/5 don't

 

3/4 of the remainder is 3/4 of 3/5 = 9/20

Thus, 9/20 of the students study Latin.

 

Those who study French or Latin is:

2/5 + 9/20 = 8/20 + 9/20 = 17/20

 

That leaves 3/20 of the students studying no language.

 

(3/20)S = 195

S = 195(20/3) = 65(20) = 1300 students total