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22 Oct 2006, 08:27
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Difficulty:
5%
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Question Stats:
88% (01:59) correct
12%
(02:41)
wrong
based on 1234
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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
(A) 240
(B) 300
(C) 480
(D) 720
(E) 960
12 Sep 2014, 02:39
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SimaQ
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
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
General Discussion
22 Oct 2006, 08:45
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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 ?
science = 1/3x+40
physics = 1/12 x+10= 1/8x
x+120 = 3/2x thus 0.5 x = 120 thus x = 240
science = 1/3x+40
physics = 1/12 x+10= 1/8x
x+120 = 3/2x thus 0.5 x = 120 thus x = 240
