Of the 80 students in class, 25 are studying German, 15 French and 13 Spanish. 3 are studying German and French; 4 are studying French and Spanish; 2 are studying German and Spanish; and none is studying all 3 languages at the same time. How many students are not studying any of the three languages?

Question

Bones

Mathematics

13 April, 00:12

Of the 80 students in class, 25 are studying German, 15 French and 13 Spanish. 3 are studying German and French; 4 are studying French and Spanish; 2 are studying German and Spanish; and none is studying all 3 languages at the same time. How many students are not studying any of the three languages?

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Answers (1)

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Ruth Pittman · Answer 1

36

Step-by-step explanation:

it is given that there are total of 80 students

in German language there are 25 students

in French language there are 15 students

13 studying Spanish language

in German and French language there are 3 students

in French and Spanish language there are 4 students

in German and Spanish language there are 2 students

3 are studying all three languages

from the given bellow ven diagram

it is clear that the number of students that are not studying any languages are = 80 - (20+3+8+4+2+7) = 36