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

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Manager
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In a certain school, 40 more than 1/3 of all the students [#permalink] New post 15 Jul 2004, 09:34
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) 48
B) 120
C) 240
D) 480
E) 960


Please show the solution :-)
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CIO
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 [#permalink] New post 15 Jul 2004, 10:08
C. plug in the answers, or just do the algebra. Plugging in is fine for this one.
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 [#permalink] New post 15 Jul 2004, 10:56
C) 240.

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

Solve and get X=240.
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 [#permalink] New post 15 Jul 2004, 11:11
Start with Science students

Assume X=all students
Assume Y=Science Students

40+1/3x=y

Now take Physics students

1/8x=1/4y ---> Y=1/2x

Put the two equestions together

40+1/3x=1/2x

80+2/3x=x

80=1/3x

240=x
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Manager
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 [#permalink] New post 17 Jul 2004, 10:08
" 1/4 of those taking a science course are taking physics "

Does it mean that there are some students studying both science and physics? 1/4 { 40 + X*(1/3) } is the number of student who study both science and physics ? Anyone think like me?
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 [#permalink] New post 17 Jul 2004, 11:13
HI...

let the total no: of students in the class be X...

science course = X/3 +40 = X +120/3

physics course = X+120/3 *1/4


= X/8 of the total

12x- 8X =8*120

x = 240...


have Fun :)
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  [#permalink] 17 Jul 2004, 11:13
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