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In a class of 50 students, 18 take music, 26 take art, and 2 take both art and music. How many students in the class are not enrolled in either music or art?

$\begin {array} {1 1} (A)\;6 & \quad (B)\;8 \\ (C)\;16 & \quad (D)\;24 \end {array}$

1 Answer

Draw a Venn diagram (circles) to represent the students taking art and music.
The circles will overlap. The circle for art contains 26 students.
The circle for music contains 18 students. Since 2 students take BOTH
art and music (place 2 in the area where the circles overlap), the remainder
of the art circle contains 24 students and the remainder of the music circle
contains 16 students. Adding all values (24 + 16 + 2) gives a total of 42
students. Of the class of 50 students, 8 do not take art or music.


answered Jan 22, 2014 by thanvigandhi_1

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