In a of 45 students,30 read Biology and 25 read chemistry.each student reads at least one of the two subjects.
i.illustrate this information on a venn diagram.
ii.How many students read both subjects
If x take both, then
30+25-x = 45
so x = 10
I agree with oobleck!
They are 100% right
To illustrate this information on a Venn diagram, we need to draw two intersecting circles. One circle represents the students who read Biology, and the other circle represents the students who read Chemistry. The overlapping region between the circles represents the students who read both subjects.
Here is a simple way to draw the Venn diagram for this scenario:
1. Draw two intersecting circles and label them as "Biology" and "Chemistry."
2. Write the number 30 inside the Biology circle to represent the 30 students who read Biology.
3. Write the number 25 inside the Chemistry circle to represent the 25 students who read Chemistry.
4. Write an "x" or any other symbol in the overlapping region between the two circles to represent the number of students who read both subjects.
The Venn diagram should now be complete.
To find out how many students read both Biology and Chemistry, we can either count the number of students represented by the "x" symbol in the Venn diagram or subtract the number of students who read only Biology from the total number of students who read Chemistry.
In this case, since the information is not provided explicitly, we can only provide the maximum value of the students who read both subjects. Therefore, we can say that the maximum number of students who read both Biology and Chemistry is the smaller number of students who read each subject, which is 25.
To illustrate this information on a Venn diagram, we need to represent the two subjects, Biology and Chemistry, as two overlapping circles. The intersecting region will represent the number of students who read both subjects, Biology and Chemistry.
Here's how you can do it:
1. Draw two overlapping circles.
2. Label one circle as "Biology" and the other as "Chemistry."
3. Place the number 30 inside the Biology circle to represent the 30 students who read Biology.
4. Place the number 25 inside the Chemistry circle to represent the 25 students who read Chemistry.
Now, we need to determine the number of students who read both subjects.
To calculate the number of students who read both subjects (i.e., the intersection of both circles), we can use the formula:
Number of students in the intersection = Number of students in Biology + Number of students in Chemistry - Total number of students
In this case:
Number of students in the intersection = 30 + 25 - 45 = 55 - 45 = 10
Therefore, the number of students who read both Biology and Chemistry is 10.