Question 48

Jambmaths question: 

In a small village of 500 people, 350 speak the local language, while 200 speak Pidgin English. What is the percentage of the population speak both.

Option A: 

30%

Option B: 

50%

Option C: 

10%

Option D: 

14%

Jamb Maths Solution: 

$\begin{align}  & \text{Let }L\text{be the set of those of speak the Local Language},\text{ } \\ & \text{and }P\text{ represent the set of those speak Pidgin English} \\ & n(\xi )=n(L\cup P)=500 \\ & n(L)=350 \\ & n(P)=200 \\ & n(L\cap P)=x \\ & n(L\cup E)=n(L)+n(P)-n(L\cap P) \\ & 500=200+350-x \\ & x=550-500=50 \\ & \text{Percentage of those whose both language } \\ & =\frac{50}{500}\times 100percent=10percent \\\end{align}$

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