MATHEMATICS

JAMB 2000 - Question 2

Mathematics 2000 JAMB Past Questions - Question 2: 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?

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:
B:
C:
D:
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Correct Answer

C

Explanation

x = no. of ppl that like none.no. of ppl that like both Traditional and Modern music, which is equal to 3xModern Music = 60 - 3xTraditional Music = 50 - 3x60-3x + 50 - 3x + 3x + x = 94110 - 3x + x = 94-2x = 94 - 110=>-2x = -16,this x = 8.Members that like only one music:= 60 - 3x + 50 - 3x= 60 - 3[8] + 50 - 3[8]= 60 - 24 + 50 - 24= 36 + 26 = 62Members that like only one type of music = 62