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JAMB Mathematics 2000 Question 4

Question 4

Sets

In a youth club of 94 members, 60 like modern music and 50 like traditional music. The number of members who like both traditional and modern music is three times those who do not like any type of music. How many members like only one type of music?

  1. A.8
  2. B.24
  3. C.62
  4. D.86
Show the answer and explanation

Answer: C (62)

Explanation

Let x like neither, so 3x like both. Then 60 + 50 − 3x + x = 94, so x = 8 and 24 like both. Only one type: (60 − 24) + (50 − 24) = 36 + 26 = 62.