The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.3 years, The ratio of the number of boys to the number of girls in the class is
Select the correct option
A) 7 : 3  B) 2 : 3  C) 9 : 3  D) 6 : 3  E) 5 : 6

Rationale: "explanation : let the ratio be k : 1 . then , k * 16.4 + 1 * 15.3 = ( k + 1 ) * 15.8 < = > ( 16.4 - 15.8 ) k = ( 15.8 - 15.3 ) < = > k = 0.5 / 0.6 = 5 / 6 . required ratio = 5 / 6 : 1 = 5 : 6 . answer : e"
Answer: E