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

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

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New post 22 Oct 2006, 07:27
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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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Re: In a certain school, 40 more than 1/3 of all the students [#permalink]

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New post 22 Oct 2006, 07:45
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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Re: In a certain school, 40 more than 1/3 of all the students [#permalink]

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New post 23 Oct 2006, 04:48
I got A as well

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

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

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New post 12 Sep 2014, 01:39
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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

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

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New post 15 Oct 2014, 20:37
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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Re: In a certain school, 40 more than 1/3 of all the students [#permalink]

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New post 14 Jan 2018, 09:58
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

Let the total no of students be 8x

So, students taking physics = x ; students taking science = 4x

Now, 8x/3 + 40 = 4x

So, 8x + 120 = 12x

Or, 4x = 120

So, x = 30

Thus, total no of students in the school will be (A) 240

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Abhishek....

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Re: In a certain school, 40 more than 1/3 of all the students   [#permalink] 14 Jan 2018, 09:58
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