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
Reiny
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.
raju
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
raju
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
Bikram
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