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# At a school, one-fourth of the teachers are male and half of the teach

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Math Expert
Joined: 02 Sep 2009
Posts: 58335
At a school, one-fourth of the teachers are male and half of the teach  [#permalink]

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22 Oct 2018, 00:24
00:00

Difficulty:

45% (medium)

Question Stats:

64% (01:49) correct 36% (01:49) wrong based on 52 sessions

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At a school, one-fourth of the teachers are male and half of the teachers are non-academic staff. What is the number of teachers at this school?

(1) Exactly 14 of the teachers at the school are males who are non-academic staff.
(2) There are 32 more female teachers than male teachers at the school.

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Re: At a school, one-fourth of the teachers are male and half of the teach  [#permalink]

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22 Oct 2018, 04:36
Bunuel wrote:
At a school, one-fourth of the teachers are male and half of the teachers are non-academic staff. What is the number of teachers at this school?

(1) Exactly 14 of the teachers at the school are males who are non-academic staff.
(2) There are 32 more female teachers than male teachers at the school.

Question: Number of teachers are School = ?

Let, Teacher = 100x
Male teachers = 25x
Female teachers = 75x

Statement 1: Exactly 14 of the teachers at the school are males who are non-academic staff.

Since we don't know what fraction of total teachers/Male teachers are non academic so this number 14 can NOT be equated with any function of x hence
NOT SUFFICIENT

Statement 2: There are 32 more female teachers than male teachers at the school

i.e. 75x - 25x = 50x = 32

i.e. 100x = 64
SUFFICIENT

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Re: At a school, one-fourth of the teachers are male and half of the teach   [#permalink] 22 Oct 2018, 04:36
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