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Question
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?
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?
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Solution
The correct option is B 8
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
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
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