Let's denote the number of students who offer Accounting as A and the number of students who offer Economics as E.
According to the information given:
A = 2E
Total students = 50
Students who offer neither subject = 10
Students who offer both subjects = 5
Students who offer only Accounting = A - 5 (as 5 students offer both subjects)
Students who offer only Economics = E - 5 (as 5 students offer both subjects)
The Venn diagram will have three overlapping regions: Accounting, Economics, and Both subjects.
Let's solve for the number of students who offer both subjects:
A + E - Both + Neither = Total
2E + E - 5 + 5 + 10 = 50
3E + 10 = 50
3E = 40
E = 40/3 ≈ 13.33
Since the number of students must be an integer, we can assume that the number of students who offer Economics is 13.
Number of students offering only Economics = E - 5 = 13 - 5 = 8
So, the number of students who offer Economics is 13, and the number of students who offer only one subject is 8.
In a class of 50 students,the number of students who offer Accounting is twice as the number who offer Economics.10 students offer neither of the two subjects and 5 students offer both subjects.Illustrate this information on the Venn diagram.How many students offer Economics.How many students offer only one subject?
1 answer