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?

Correct answer is C

x = no. of ppl that like none.

no. of ppl that like both Traditional and Modern music, which is equal to 3x

Modern Music = 60 - 3x

Traditional Music = 50 - 3x

60-3x + 50 - 3x + 3x + x = 94
110 - 3x + x = 94
-2x = 94 - 110

=>-2x = -16,

this x = 8.

Members that like only one game:
= 60 - 3x + 50 - 3x
= 60 - 3[8] + 50 - 3[8]
= 60 - 24 + 50 - 24
= 36 + 26 = 62

Members that like only one type of music = 62

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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?

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