Question

In a class of 100 students there are 10 who speak Chinese, 20 who speak French, 30 who speak Spanish, 8 who speak both French and Spanish, and 3 who speak all three of these languages. How many students in the class do not speak any of these three languages?

Answer 1

29 students do not speak any of those three languages.

10+20+30+8+3=71

100 total students - 71 students who speak french, spanish, or chinese = 29 students that don’t speak those languages.

Answer 2

45 students.

Explanation:

This is because if you add up 10, 20, and 30, you can immediately remove 60 students which holds 40 remaining. However, it also states that there are 8 who speak both and 3 who speak all. Assuming those students were placed into the following categories, you can add back 5 students. It is not 12 students as the 3 who speak all could also be considered as those who speak both.

Sorry if this is confusing.