A certain number of badges were distributed among a class of students. The student who got 1/6th of the total number of badges actually got 5 times the average number of badges the others got! How many students were there in the class?	Select
A) 30  B) 26  C) 11  D) 31  E) 32
DETAILED SOLUTION   Let the total students be (n + 1)   Let total badges be x   Let the average of ‘n’ students be y   The student who got 1/6th of x = 5y   Or y = x/30   Therefore ‘n’ students got 1/30th of total share each   Or n * x/30 + 1 * x/6 = x   nx + 5x = 30x   n + 5 = 30   Or n = 25   Total = n + 1 = 26   Correct Answer: 26
<result>B</result>
A certain number of badges were distributed among a class of students. The student who got 1/6th of the total number of badges actually got 5 times the average number of badges the others got! How many students were there in the class?