Question 1014046
The ratio in 2002 was 4/5 or 4x/5x.
Assuming that the 2400 new teachers were half women and half men, we can write
{{{(4x+1200)/(5x+1200) = 8/9}}}
Cross-multiplying we get
9(4x+1200) = 8(5x+1200)
36x + 10800 = 40x + 9600
1200 = 4x
x = 300
which means that originally there were
4(300) = 1200 male teachers and
5(300) = 1500 female teachers...
2700 total teachers in 2002...