Solution: Let math teacher 9X have language 5X, English teacher 10X, male math 3X and female math 6X, male language 2X and female language 3X, male English teacher A and female English teacher10x-a.
Then: 3X+2X+A:6X+3X+ 10X-A=7:9.
5x+A: 19X-A=7:9
45X+9A= 133X-7A
16A=88X
A=5.5
A: 10-A = 5.5:4.5 = 1 1:9