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 subject and 15 of them like none of the subject then by drawing a veen diagram ,find how many of them (1) like only mathematics (2)like only science

4 answers

Assuming you made your Venn diagram, place 10 in the intersection of the two circles.
let the number of students liking Math be 4x and those liking Science be 5x
Then those liking only Math would be 4x-10 , and those liking only Science 5x-10

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

solve for x, then back-substitute into my definition.
in a group of 95 people the ratio of people who like orange and apple ia 4:5 if 20 of them like bouth the fruits and 5 of them like non of fruits,by drawing a venndaigram find how many them
X=10
4x-10+x+5x-10+15=95
10x-5=95
10x=95+5
10x=100
x=100รท10
x=10