2000
Mathematics
67ca00ce0c643c71d77dee1f
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
Correct Answer: 62
Explanation
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
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 = 62THIS WEEK's
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