Task: Question Answering
Input (English): Problem: the ratio of boarders to day students at a school was originally 5 to 12 . however , after a number of new boarders join the initial 220 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 ) 44 , b ) 64 , c ) 70 , d ) 80 , e ) 84
Output (English): a