Question

the ratio of female teachers to male teachers is 6:1. some female teachers left the school and the exact number of male teachers joined. now the new ratio of female teachers to male teachers is 11:10. how many female teachers left?

Answer 1

let the no of teachers (female) be x
6-x:1+x = 11:10
6-x ÷ 1+x= 11÷10
60-10x = 11+11x(cross multiply)

60 - 11 = 11x - 10x
x=59 (answer)

Answer 2

Answer:

Step-by-step explanation:

a) female:male = 6:1

number of male teachers = 6

number of female teachers = 36

b) Total number of teachers = 36+6=42

Ratio = 11:10

female = 42×(11/21) = 22

male = 42×(10/21) = 20

number of female teachers transferred = 36-22=14