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A certain number of badges were distributed among a class of students.

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A certain number of badges were distributed among a class of students.  [#permalink]

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New post 04 Sep 2018, 01:25
3
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A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

45% (02:06) correct 55% (01:30) wrong based on 31 sessions

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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?

a. 30
b. 26
c. 11
d. 31
e. 50
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Re: A certain number of badges were distributed among a class of students.  [#permalink]

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New post 04 Sep 2018, 01:56
B - Total number of Badges
N - Number of students

Translating the text into an equation, we get:

1/6 B =5*(5/6B)/(N-1)

N-1=25, N= 26 Answer B
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A certain number of badges were distributed among a class of students.  [#permalink]

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New post 07 Sep 2018, 16:01
pratik2018 wrote:
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?

a. 30
b. 26
c. 11
d. 31
e. 50


We can let the total number of badges = n and the total number of students = q. Since one student gets 1/6 of the badges, the remaining students get 5n/6 of the badges. Thus the average number of badges the others got = (5n/6)/(q - 1), and we have:

(1/6)(n) = 5((5n/6)/(q - 1))

(1/6)n(q - 1) = 5(5n/6)

(q - 1)/6 = 25/6

q - 1= 25

q = 26

Answer: B
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A certain number of badges were distributed among a class of students. &nbs [#permalink] 07 Sep 2018, 16:01
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