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# In a certain school, 40 more than 1/3 of all the students

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Director
Joined: 06 Feb 2006
Posts: 893

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In a certain school, 40 more than 1/3 of all the students [#permalink]

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22 Oct 2006, 08:27
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Question Stats:

83% (01:42) correct 17% (01:50) wrong based on 189 sessions

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In a certain school, 40 more than 1/3 of all the students are taking a science course and 1/4 of those taking a science course are taking physics. If 1/8 of all the students in the school are taking physics, how many students are in the school ?

(A) 240
(B) 300
(C) 480
(D) 720
(E) 960
[Reveal] Spoiler: OA

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SVP
Joined: 05 Jul 2006
Posts: 1750

Kudos [?]: 430 [0], given: 49

Re: In a certain school, 40 more than 1/3 of all the students [#permalink]

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22 Oct 2006, 08:45
In a certain school, 40 more than 1/3 of all the students are taking a science course and 1/4 of those taking a science course are taking physics. If 1/8 of all the students in the school are taking physics, how many students are in the school ?

science = 1/3x+40

physics = 1/12 x+10= 1/8x

x+120 = 3/2x thus 0.5 x = 120 thus x = 240

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Manager
Joined: 12 Sep 2006
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Re: In a certain school, 40 more than 1/3 of all the students [#permalink]

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23 Oct 2006, 05:48
I got A as well

(40+1/3*x)*1/4=1/8*x

solve for x

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SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1853

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Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: In a certain school, 40 more than 1/3 of all the students [#permalink]

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12 Sep 2014, 02:39
5
KUDOS
SimaQ wrote:
In a certain school, 40 more than 1/3 of all the students are taking a science course and 1/4 of those taking a science course are taking physics. If 1/8 of all the students in the school are taking physics, how many students are in the school ?

Please show how you construct a formula for this one.... Picking numbers is obvious, so i would like to see formulas... thanks

(A) 240
(B) 300
(C) 480
(D) 720
(E) 960

Let total students = x

Science $$= \frac{x}{3} + 40$$

Physics $$= \frac{1}{4} (\frac{x}{3} + 40)$$

Physics students are $$\frac{1}{8}$$ th of total students; so setting up the equation

$$\frac{1}{4} (\frac{x}{3} + 40) = \frac{x}{8}$$

x = 240

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Manager
Joined: 17 Mar 2014
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Re: In a certain school, 40 more than 1/3 of all the students [#permalink]

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15 Oct 2014, 21:37
SimaQ wrote:
In a certain school, 40 more than 1/3 of all the students are taking a science course and 1/4 of those taking a science course are taking physics. If 1/8 of all the students in the school are taking physics, how many students are in the school ?

(A) 240
(B) 300
(C) 480
(D) 720
(E) 960

When I saw this question, i thought its a venn diagram question and tried to resolve.

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GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16765

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Re: In a certain school, 40 more than 1/3 of all the students [#permalink]

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02 Apr 2016, 12:47
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In a certain school, 40 more than 1/3 of all the students   [#permalink] 02 Apr 2016, 12:47
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