the ratio of boys to girls at King Middle school is 3:2. What is the ratio of girls to all students?

Answer:  2 : 5 Explanation: The ratio of boys to girls is:  " 3:2 " .     This ratio of "boys to girls", which is " 3 : 2 " ;      -  can be expressed as " 3x: 2x"  ;    in which the total number of students is:  " 3x + 2x " = 5x " .     -The total number of students is represented as:  " 5x " .   The ratio of "girls to boys" is:  "2x : 3x" .   {that is;  the "inverse" of  " 3x: 2x" } ; which is:  " 2x : 3x " .  The ratio of "girls" to "all students" is:  "2x : 5x "  ;  or " 2x/5x " ;  Both "x" values cancel ;  {since: " x/x = 1 "} ;  and we have the answer:  " 2 :5 " ;  or, write as:  " 2/5 " .