Ariffin sold some comic books, kept 3/8 of the remainder for Ragu and Faiz and donated the rest. If the number of comic books sold was twice the number of comic books donated, what fraction of the comic books was sold?
Call the original number, N
Call the number sold = S
And the number that Ragu and Faiz received = (3/8)(N - S)
And the number donated = N - S - (3/8)(N - S)
And S = 2 [ N - S - (3/8)(N - S) ]
So we have
S = 2 [ N - S - (3/8)N + (3/8)S]
S = 2 [(5/8)N - (5/8)S]
S = (10/8)N - (10/8)S
S = (5/4)N - (5/4)S add (5/4)S to both sides
(9/4)S = (5/4)N multiply through by (4/9)
S = (4/9)(5/4)N
S = (5/9)N
So...the number sold was 5 / 9 of the total
