
Patrick B. answered 08/06/19
Math and computer tutor/teacher
N is the # of students in the school.
(5/8) N voted for BLUE
which leaves (3/8)N remaining....
(5/9)(3/8)N votes for green
15/72* N votes for Green.
5/24 * N votes for Green.
So 5/8* N = 15/24* N votes for Blue
5/24 * N votes for Green
48 vote for Red.
That is (24-15-5)/24 = 4/24 = 1/6 voting for Red.
1/6 * N = 48
N = 48*6 = 288
So there are 288 students in the school who voted.
(5/8)(288) = 180 voted for BLUE
(5/9)(3/8)(288) = 60 voted for GREEN
48 voted for RED
The total is indeed 288.