This image displays a Venn diagram for two subjects: Geography and History. The numbers inside the circles represent the count of students in each category. To solve the problem, I need to understand what the question is asking.
Since no specific question was provided with the image, I will assume the most common type of question associated with such a diagram: finding the total number of students surveyed.
Let me break down the information given in the Venn diagram:
- 40 students study only Geography (the part of the Geography circle that does not overlap with History).
- 52 students study only History (the part of the History circle that does not overlap with Geography).
- 14 students study both Geography and History (the overlapping section).
- 36 students are outside both circles, which typically means they study neither subject.
To find the total number of students, I will sum all these groups:
Total = (Only Geography) + (Only History) + (Both) + (Neither)
Total = 40 + 52 + 14 + 36
Now, let me calculate this sum.
40 + 52 = 92
92 + 14 = 106
106 + 36 = 142
Therefore, the total number of students surveyed is 142.
If you have a different question about this diagram, please specify it, and I will provide the appropriate solution.
Parent Tip: Review the logic above to help your child master the concept of using venn diagrams problems independent practice worksheet 2.