draw a Venn diagram that represents this question:in an exam, 31 candidate passed chemistry, 29 passed physics and 3 failed both subject.if 50 candidate sat for the exam how many of them passed chemistry

1 answer

To represent this question in a Venn diagram, we will have two circles. One circle will represent chemistry and the other will represent physics. The overlapping region will represent the students who have passed both chemistry and physics.

Let's label the circles as follows:
- Circle A: Chemistry
- Circle B: Physics

We know that 31 candidates passed chemistry, 29 candidates passed physics, and 3 candidates failed both subjects.

So, the Venn diagram would look like this:

A: Chemistry
_______________
| _ _ _ _ _ _ _ _ _
| | |
| | 3 |
| |_ _ _ _ _| |
| |
| _ _ _ _ _ _ _ _ _
| | |
| | 31 |
| |_ _ _ _ _| |
|
B: Physics

To find out how many students passed chemistry, we can add the number of students in circle A (chemistry) and the number of students in the overlapping region.

So, the number of students who passed chemistry is 31 + 3 = 34.