In a class of 45 students 30 read biology and 25 read chemistry. Each student read at least one of the two subjects.
i) Illustrate this information on a venn diagram
ok.
Now what?
I will say that if x read both subjects,
30+25-x = 45
Good
Why did the biology book take the chemistry book out for dinner?
Because it wanted to bond!
To illustrate this information on a Venn diagram, we can draw two overlapping circles. One circle represents biology, and the other circle represents chemistry. The overlapping area will represent students who read both subjects.
Let's start by drawing two circles labeled "Biology" and "Chemistry" with some overlapping region:
Biology
_______________
| |
| |
| ______ |
| | | |
| |______| |
| |
|________________|
Chemistry
Next, we'll add the given information to the Venn diagram:
- In the Biology circle, we have 30 students.
- In the Chemistry circle, we have 25 students.
To represent the fact that "Each student read at least one of the two subjects," we need to allocate the remaining students to the overlapping region.
Since there are 45 students in total, and we have already accounted for 30 in biology and 25 in chemistry, the remaining students will go in the overlapping region.
Therefore, to complete the Venn diagram, we can add the number of students in the overlapping region, which is the remaining number of students:
Biology
_______________
| |
| |
| ______ |
| | 10| |
| |______| |
| |
|________________|
Chemistry
In this example, we assume there are 10 students who read both biology and chemistry. However, the exact number of students in the overlapping region is not provided in the given information.
To illustrate this information on a Venn diagram, we need to create two overlapping circles, one for biology and one for chemistry. The overlap between the circles will represent the number of students who read both subjects.
Let's start by drawing two circles that overlap each other, representing biology and chemistry.
Next, we need to label the circles. Let's label the circle on the left as "Biology" and the circle on the right as "Chemistry."
Now, let's place the numbers on the Venn diagram. Given the information, we know that 30 students read biology and 25 students read chemistry.
On the biology circle, write the number 30.
On the chemistry circle, write the number 25.
Finally, we know that each student read at least one of the two subjects. This means that the total number of students in the class must be accounted for on the Venn diagram. Since we have 45 students in total, we need to add this number to the Venn diagram.
Outside the circles, write the number 45 to represent the total number of students in the class.
Your Venn diagram should now be complete, with the numbers 30, 25, and 45 written on it. The overlap between the circles (the region where biology and chemistry overlap) represents the number of students who read both subjects.