Answer:
Step-by-step explanation:
hello,
let's note a the number of novelists and
b the number of poets.
we know that a = 5/3 b as "enrolls novelits and poets in a ratio of 5:3"
it comes 3a=5b which is the first equation
and we know that a + b = 24 "there are 24 people"
we we have two equations
(1) 3a - 5b = 0
(2) a + b = 24
let's multiply (2) by 3 it comes 3a + 3b = 24*3 = 72
let's do 3*(2) - (1) it comes
3a + 3b -3a + 5b = 72 - 0 = 72
so 8b = 72
so b = 9
and then we replace b in (2) it comes
a = 24-9 = 15
hope this helps