First, let's label the sets. Let R represent the set of students belonging to the Red Cross society, G represent the set of students belonging to the Girls Guide society, and N represent the set of students who do not belong to either society.
From the information given, 40 students belong to the Red Cross society, 27 students belong to the Girls Guide society, and 12 students belong to both societies.
The Venn diagram representing this information is as follows:
_______________
| |
| R |
|______|____|
| |
| G |
|______|____|
N
In the diagram, the overlapping region between R and G represents the 12 students who belong to both societies. The non-overlapping regions of R and G (outside the overlap) represent the students who only belong to one of the societies.
The remaining region outside R, G, and the overlap represents the students who do not belong to either society (N).
2. Determine the number of students who do not belong to any of the two societies.
To find the number of students who do not belong to any of the two societies, we need to add up the number of students who only belong to the Red Cross society and the number of students who only belong to the Girls Guide society, and subtract the number of students who belong to both societies.
Students who only belong to the Red Cross society = Total students in R - Students in the overlap = 40 - 12 = 28.
Students who only belong to the Girls Guide society = Total students in G - Students in the overlap = 27 - 12 = 15.
Therefore, the number of students who do not belong to either society (N) = Total students - Students in R - Students in G + Students in the overlap = 70 - 40 - 27 + 12 = 15.
So, there are 15 students who do not belong to any of the two societies.
In a class of 70 student 40 belong to the red Cross society 27 belong to the girls guide society and 12 belong to both the red Cross society and the girls guide society. The remaining student do not belong to any of the two societies.
1. illustrate the information on a Venn diagram
1 answer