Question on: JAMB Mathematics - 2000

In a youth club with 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?

A
8
B
24
C
62
D
86
Ask EduPadi AI for a detailed answer
Correct Option: C

Use a venn diagram:

60-3x+3x+50-3x = 94-x.

110-3x+x = 94

-2x = 94-110

=>-2x = -16, this x = -8.

Members that like only one game:

= 60 - 3x + 50 - 3x

= 60 - 3x8 + 50 - 3x8

= 60 - 24 + 50 - 24

= 36 + 26 = 62

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