Question

In a group of 95 students , the ratio of students who like mathematics and science is 4:5 . if 10 of them like both the subjects and 15 of them like none of the subjects then by drawing a venn diagram,find how many of them like only mathematics and how many of them only likescience

Answer 1

fill in all the fields of your Venn diagram.
Place 10 in the intersection.
Put 4x - 10 in the "math only" field
Put 5x - 10 in the "science only" field

then 4x-10 + 5x-10 + 10 + 15 = 95
9x = 90
x = 9

Now you know each of the entries in the Venn diagram.

Answer 2

Place 10 in the intersection.
Put 4x - 10 in the "math only" field
Put 5x - 10 in the "science only" field

then 4x-10 + 5x-10 + 10 + 15 = 95
9x = 90
x = 10

Answer 3

Place 10 in the intersection.
Put 4x - 10 in the "math only" field
Put 5x - 10 in the "science only" field

then 4x-10 + 5x-10 + 10 + 15 = 95
9x = 90
x = 10
and acc to question
4x= 4 * 10 = 40
3x= 3 * 10 = 30

Answer 4

Place 10 in the intersection.
Put 4x - 10 in the "math only" field
Put 5x - 10 in the "science only" field

then 4x-10 + 5x-10 + 10 + 15 = 95
9x = 90
x = 10
and acc to question
4x= 4 * 10 = 40
3x= 3 * 10 = 30