<PRE><B>Question 1176916</B>

The ratio of teachers to boys to girls is 3:6:4 respectively.
let x = the multiplier
then
3x = no. of teachers
6x = no. of boys
4x = no. of girls
let m = no. of male teachers
 The ratio of girls to male teachers is 3:1 respectively. 
{{{(4x)/m}}} = {{{3/1}}}
Cross multiply
4x = 3m
m = {{{4/3}}}x
If there were 65 female teachers, how many boys are in the school.
3x = (m+65)
Replace m with {{{4/3}}}x
3x = {{{4/3}}}x + 65
get rid of the fraction, multiply by 3
9x = 4x + 195
9x - 4x = 195
5x = 195
 x = 195/5
 x = 39 is the multiplier
:
Find the no. of boys
6*39 = 234 boys
;
:
Confirm this,  find the no. of teachers, girls, and male teachers
3(39)= 117 teachers
4(39)= 156 girls
{{{4/3}}} * 39 = 52 male teachers
:
52 + 65 = 117 total teachers
:
Find the ratio of girls to male teachers
{{{156/52}}} = 3
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