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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87% (02:06) correct 
