passpadi

2006

Mathematics

67ca00ce0c643c71d77dee1f

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 Answer: 10%

Explanation

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%

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%
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