In this task, you need to provide the correct option for a given problem from the provided options.

[Q]: Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 5 : 9 . what is the ratio of the smaller number to the larger number ? 
Options: a ) 1 : 5 , b ) 1 : 6 , c ) 1 : 7 , d ) 1 : 8 , e ) 1 : 9
[A]: e


[Q]: Problem: a class has a ratio of 3 : 6 : 7 of children with red hair , blonde hair and black hair respectively . if the class has 9 kids with red hair , how many kids are in the class ? 
Options: a ) 99 , b ) 48 , c ) 16 , d ) 22 , e ) 60
[A]: b


[Q]: Problem: what number has a 5 : 1 ratio to the number 10 ? 
Options: a ) 74 , b ) 50 , c ) 94 , d ) 59 , e ) 48
[A]:
b