In a class of 35 students, 8 are taking German and 15 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?



The number of students taking German or Spanish is 8 + 15 = 23. Of that group of 23, 3 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 23 - 3 = 20 who are taking at least one language. 35 - 20 = 15 students who are not taking either language.

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