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?
The correct answer is C. 62
Let's say that the number of members who like both traditional and modern music is x, and the number of members who do not like any type of music is y.
From the problem statement, we know that x = 3y.
Since there are 94 members in total, we can write the equation:
60 + 50 - x + y = 94.
Substituting x with 3y, we get:
60 + 50 - 3y + y = 94.
y = 8.
Now that we know the value of y, we can find the value of x by substituting it into the equation x = 3y. We get: x = 3 * 8 = 24.
So, there are 24 members who like both traditional and modern music, and 8 members who do not like any type of music. The number of members who like only one type of music is: (60 - 24) + (50 - 24) = 62.
Therefore, there are 62 members who like only one type of music. Is
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