Question

5. In a group of 95 students the ratio of students who like mathematics and science of 4: 5. If 10 of them like both the subjects and 15 of them like none of the subject then by drawing a Venn-diagram. Find how many of them a) like only mathematics. b) like only science ​

Answer 1

Explanation:

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.