The students are not enrolled in either language courses are 30 students.
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Total number of students = 102
Students taking German = 42
Students taking Chinese = 37
Students taking both German and Chinese = 7
Students taking only German = [tex]42 - 7[/tex]
⇒ [tex]35[/tex]
Students taking only Chinese = [tex]37 -7[/tex]
⇒ [tex]30[/tex]
Thus students taking only German or Chinese or both = [tex]35+30+7[/tex]
⇒ [tex]72[/tex]
Thus students are not enrolled in either language course = [tex]102-72[/tex]
⇒ [tex]30[/tex]
Hence we can conclude that the students are not enrolled in either language course are 30 students.
Learn more about word problems here
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