SOLUTION: In a class, all students take part in either music or drama or both. 25 students take part in music, 30 students take part in drama and 8 students take part in both music and dram

Algebra ->  Real-numbers -> SOLUTION: In a class, all students take part in either music or drama or both. 25 students take part in music, 30 students take part in drama and 8 students take part in both music and dram      Log On


   

Question 1168264: In a class, all students take part in either music or drama or both. 25 students take part in music, 30 students take part in drama and 8 students take part in both music and drama. Find the number of students who take part in only music.
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
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From the set "Music" of 25 students, subtract the subset "both" of 8 students.


You will get then the subset "the music ONLY" consisting of 25 - 8 = 17 students.


ANSWER.  The number of students who take only music is 17.

Solved.

Notice that the number of those who take "drama" is excessive in this problem and does not participate in the solution.

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To learn better, wider and deeper on solving similar problems, read the lesson
    - Counting elements in sub-sets of a given finite set
in this forum.