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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: 709
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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Difficulty:

5% (low)

Question Stats:

87% (02:06) correct 13% (02:59) wrong based on 236 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
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Posts: 1747
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Re: In a certain school, 40 more than 1/3 of all the students  [#permalink]

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12 Sep 2014, 02:39
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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

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Posts: 1393
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
Manager
Joined: 12 Sep 2006
Posts: 73
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
Senior Manager
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Posts: 429
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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Re: In a certain school, 40 more than 1/3 of all the students  [#permalink]

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14 Jan 2018, 10:58
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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Re: In a certain school, 40 more than 1/3 of all the students   [#permalink] 14 Jan 2018, 10:58
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