In a small village of 500 people 350 speak the ... - JAMB Mathematics 2006 Question
In a small village of 500 people, 350 speak the local language while 200 speak pidgin English. What percentage of the population speak both.
A
30%
B
10%
C
50%
D
14%
correct option: b
Let n(L∩P) = x
n(L) only = 350 - x
n(P) only = 200 - x
∴350 - x + x + 200 - x = 500
550 - x = 500
x = 550 - 500
x = 50 speak both
∴x% = (50/500) * (100/1)
= 10%
n(L) only = 350 - x
n(P) only = 200 - x
∴350 - x + x + 200 - x = 500
550 - x = 500
x = 550 - 500
x = 50 speak both
∴x% = (50/500) * (100/1)
= 10%
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