Question

Physics or Chemistry. In a group of 50 students, 7 take all three

subjects, 9 take Physics and Chemistry only, 8 take Maths and Physics
only and 5 take Maths and Chemistry only. Of these 50 students, x take
Maths only, x take Physics only and x + 3 take Chemistry only. Draw
a Venn diagram, find x, and hence find the number taking Maths.

Answer 1

Explanation:

There are 50 students in a group.

Using Venn diagram, we have 50=x+8+7+5+x+9+(x+3)50=x+8+7+5+x+9+(x+3) .

50=3x+3250=3x+32

3x=183x=18

x=6x=6

The number of students that take Maths is x+8+7+5=26x+8+7+5=26 .

Answer: x=6x=6 ; 2626 students take Maths.