in a class of 50 students the number of students who have the accountant is twice the number who offer economics I illustrate the information on a venn diagram II how many students offer accounting III how many students offer economics IV how many students offer only one subject.
ever hear of newlines to make things clearer?
A+E-(A&E) = 50
Since A=2E, that means
3E-(A&E) = 50
Without knowing how many take both (and, how many take neither!), there is no way to assign numbers.
in a class of 32 students, 18 offer chemistry, 16 offer physics and 22 offer mathematics, 6 offer all the three subject, 3 offer chemistry and physics only and 5 offer physics only.each student offers at least one subject. find number of students who offer
2x - 5
To answer these questions, we can use a Venn diagram. A Venn diagram is a graphical representation of the relationships between different sets of data. In this case, we will create a Venn diagram to represent the subjects taken by the students in the class.
Step 1: Draw two overlapping circles to represent the subjects: Accounting and Economics. Label them accordingly.
Step 2: Based on the given information, assume that the number of students who offer Economics is 'x'. Since the number of students who offer Accounting is twice that of Economics, we can represent it as '2x'.
Step 3: Place x in the Economics circle and 2x in the Accounting circle to represent the number of students in each subject.
Step 4: Now, we need to find the number of students who take each subject and those who take only one subject.
- The number of students who offer Accounting is 2x.
- The number of students who offer Economics is x.
To determine the number of students who offer only one subject, we need to subtract the number of students who take both subjects from the total number of students in each subject.
Step 5: Based on the Venn diagram, we can see that the overlapping region represents the students who take both Accounting and Economics. Let's assume this number is 'y'.
To find the students who offer Accounting only, subtract the students who take both subjects (y) from the total number of students taking Accounting (2x): 2x - y.
Similarly, to find the students who offer Economics only, subtract the students who take both subjects (y) from the total number of students taking Economics (x): x - y.
Now, let's answer the questions:
II) How many students offer Accounting?
The number of students who offer Accounting is 2x.
III) How many students offer Economics?
The number of students who offer Economics is x.
IV) How many students offer only one subject?
The number of students who offer only one subject in Accounting is 2x - y, and in Economics, it is x - y.
Please note that to find the exact values of x and y, we would need additional information or assumptions.