a certain number of badges were distributed among a class of students. the student who got 1 / 6 th 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?
Choose the correct option
A) 30	B) 26	C) 11	D) 31	E) 32
<gadget id="calculator">6 * 5</gadget>
<output>30</output>

<gadget id="calculator">30 - 5</gadget>
<output>25</output>

<gadget id="calculator">25 + 1</gadget>
<output>26</output>

<result>B</result>
a certain number of badges were distributed among a class of students. the student who got 1 / 6 th 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?
add(subtract(multiply(6, 5), 5), 1)
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 / 6 th of x = 5 y or y = x / 30 therefore ‘ n ’ students got 1 / 30 th of total share each or n * x / 30 + 1 * x / 6 = x nx + 5 x = 30 x n + 5 = 30 or n = 25 total = n + 1 = 26 correct answer : b