The number of boys varies directly as the number of girls and inversely as the number of teachers when there are 24 boys and 16 girls there are 2 teachers how many girls are there when there are 73 boys and 1 teacher?
Let the number of boys be b, the number of girls be g and that of teachers be t, thus: b=kg/t where k is the constant of proportionality k=bt/g b=24, when g=16 and t=2 k=(24*2)/16 k=3 hence: b=(3g)/2 thus the number of girls when: b=73 and t=1 will be: 73=(3*g)/1 73=3g g=73/3 g=24.333~ 24 girls
