TASK DEFINITION: In this task, you need to provide the correct option for a given problem from the provided options.
PROBLEM: Problem: the present ratio of students to teachers at a certain school is 30 to 1 . if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5 , the ratio of students to teachers would then be 25 to 1 . what is the present number of teachers ? 
Options: a ) 5 , b ) 8 , c ) 10 , d ) 12 , e ) 15

SOLUTION: e

PROBLEM: Problem: find the number of different prime factors of 441 
Options: a ) 4 , b ) 2 , c ) 3 , d ) 5 , e ) 6

SOLUTION: b

PROBLEM: Problem: the ratio by weight , measured in pounds , of books to clothes to electronics in a suitcase initially stands at 7 : 4 : 3 . someone removes 6 pounds of clothing from the suitcase , thereby doubling the ratio of books to clothes . how many pounds do the electronics in the suitcase weigh ? 
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9

SOLUTION:
e