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

Example Input: Problem: what number has a 3 : 4 ratio to the number 400 ? 
Options: a ) 130 , b ) 100 , c ) 200 , d ) 300 , e ) 120
Example Output: d

Example Input: Problem: a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 11,900 sedans in anytown , how many motorcycles are there ? 
Options: a ) 1260 , b ) 2100 , c ) 3400 , d ) 4200 , e ) 5200
Example Output: c

Example Input: Problem: the ratio of boarders to day students at a school was originally 2 to 5 . however , after a number of new boarders join the initial 60 boarders , the ratio changed to 1 to 2 . if no boarders became day students and vice versa , and no students left the school , how many new boarders joined the school ? 
Options: a ) 12 , b ) 15 , c ) 20 , d ) 24 , e ) 30
Example Output:
b