In a class of 80 students,53 study Art,60 study biology,36 study art and biology,34 study art and chemistry,6 study biology and 18 study biology but not chemistry.Determine the number of students who study
=Art only
=Chemistry only
I see that this time you omitted the instructions to make a Venn diagram. Did you do that, or are you just waiting for the answers?
It appears that you must have meant 6 study only biology since you already said that 60 study biology.
I think there is still something missing or wrong, since there is no unique solution using the stated values.
Visit kwame's question. He asked same question and it was answered by I and reiny .
To find the number of students who study Art only, we need to subtract the number of students who study Art and another subject from the total number of students who study Art.
Total number of students who study Art = 53
Number of students who study Art and Biology = 36
Number of students who study Art and Chemistry = 34
Number of students who study Art only = Total number of students who study Art - Number of students who study Art and Biology - Number of students who study Art and Chemistry
= 53 - 36 - 34
= 53 - 70
= -17 (since the result is negative, it means there is an error in the given data)
Therefore, we cannot determine the number of students who study Art only with the given information.
To determine the number of students who study Art only, we need to find the students who study Art but not Biology or Chemistry.
First, let's find the number of students who study Art and Biology (36) and the number of students who study Biology but not Chemistry (18).
Next, we can calculate the number of students who study Art by subtracting the number of students who study Art and Biology (36) from the total number of students who study Art (53).
Art only = Total art students - Art and Biology students
Art only = 53 - 36
Art only = 17
Therefore, 17 students study Art only.
Now, let's determine the number of students who study Chemistry only.
To find the number of students who study Chemistry only, we need to subtract the students who study Art and Chemistry from the total number of students who study Chemistry.
First, let's find the number of students who study Art and Chemistry (34).
Next, we can calculate the number of students who study Chemistry only by subtracting the number of students who study Art and Chemistry (34) from the total number of students who study Chemistry (which is the number of students studying Biology only because there are no students who study only Chemistry).
Chemistry only = Total biology students - Art and Chemistry students
Chemistry only = 60 - 34
Chemistry only = 26
Therefore, 26 students study Chemistry only.
In summary:
- 17 students study Art only.
- 26 students study Chemistry only.