Answer:
24 antelopes, 36 monkeys
Explanation:
6 : 7 means that for every 6 antelopes, there are 7 monkeys, so
a/6 = m/7 (1)
where a is the number of antelopes, m is the number of monkeys (before the 8 were born).
After 8 monkeys are born, the new ratio becomes:
a/2 = (m+8)/3 (2)
You can solve a and m for these two equations:
Rewrite (1) as 7a = 6m (cross product)
Rewrite (2) as 3a = 2m+16 (cross product)
=> 2m = 3a-16 (isolate 2m)
=> 6m = 9a-48 (multiply by 3)
Plug in (2) into (1):
7a = 9a-48 =>
-2a = -48
a = 24 antelopes
m = (a/6)*7 = 28 monkeys BEFORE the 8 newborns, so now there are
24 antelopes and 28+8=36 monkeys