BECE Mathematics 2012 Paper

Concept:This is a set theory problem using the union formula for two overlapping groups.Explanation:Let $x$ be the number of pupils who study both French and English.Pupils who study French only $= 10$Pupils who study English only $= 8$Since each pupil studies at least one subject, the total is:$$10 + x + 8 = 24$$Simplifying:$$x + 18 = 24$$$$x = 24 - 18 = 6$$So, 6 pupils study both subjects.Total pupils who study English $=$ English only $+$ both$$= 8 + 6 = 14$$Answer:Option B. 14