There were 120 students in a primary school, and they all loved sports. Literature. There were a total of 135 people competing with mathematics. 15 of them competed with sports and mathematics, and 10 competed with sports and…

There were 120 students in the sixth grade of a primary school. Literature. There were 135 people competing with Mathematics. 15 of them were interested in sports and Mathematics, 10 were interested in sports and Literature, 8 were interested in Literature and Mathematics, and 4 were interested in all three. How many were not interested in all three?

Answer 1

This plot is quite interesting. Let me answer it.

According to the description of the question, there were 120 students in this elementary school, and 135 of them were interested in sports, literature, and mathematics competitions. This meant that in addition to those who directly participated in the competition, there were 120-135=-5 students who did not participate in these competitions.

Then, the question mentioned that 15 people would do sports and mathematics, and 10 would do sports and literature. This meant that 15-10=5 students were interested in both sports and literature or both mathematics and literature.

Therefore, we can conclude that the number of students who like sports, literature, and mathematics in this primary school is 135-5=130, and the number of students who like these subjects is 120-5=115.