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An oculist charges $30 for an eye examination, frames, and

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An oculist charges $30 for an eye examination, frames, and [#permalink] New post 17 Oct 2005, 05:40
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An oculist charges $30 for an eye examination, frames, and glass lenses, but $40 for for an eye examination, frames, and plastic lenses. If the plastic lenses cost four times as much as the glass lenses, how much do the glass lenses cost?

Why do I keep getting the wrong answer $3?
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 [#permalink] New post 17 Oct 2005, 05:50
well lets see...

E+F+G=30
E+F+P=40

p=4G

two simeltaneous equations.

you get 3g=10, g=$3.33
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 [#permalink] New post 17 Oct 2005, 07:23
I got $3, but we are both wrong according to the OA.
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 [#permalink] New post 17 Oct 2005, 07:29
fresinha12 wrote:
GMATT73 wrote:
I got $3, but we are both wrong according to the OA.


It should be $4


I also got 3.33 :(. How could we get 4? Pls explain also what is OA?
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 [#permalink] New post 17 Oct 2005, 07:36
well...it has to be 3.33...I have no idea why that is no the OA...

sudhagar wrote:
fresinha12 wrote:
GMATT73 wrote:
I got $3, but we are both wrong according to the OA.


It should be $4


I also got 3.33 :(. How could we get 4? Pls explain also what is OA?
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 [#permalink] New post 17 Oct 2005, 07:50
From the Kaplan Math book (Pg. 87):

OA is $4

OE

In each case the examination and the frames are the same; the difference in cost must be due to a difference in the costs of the lenses. Since plastic lenses cost 4 times as much as glass lenses, the difference in cost must be 3 times the cost of the glass lenses.

Difference in cost=Cost of plastic-cost of glass
=4-1
=3

The difference in cost is $42-30; or $12. Since this is 3 times the cost of the glass lenses, the glass lense must cost $12/3= $4.
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Joined: 28 Dec 2004
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 [#permalink] New post 17 Oct 2005, 07:53
how did the cost become $42? I thought you posted cost to be $40

GMATT73 wrote:
From the Kaplan Math book (Pg. 87):

OA is $4

OE

In each case the examination and the frames are the same; the difference in cost must be due to a difference in the costs of the lenses. Since plastic lenses cost 4 times as much as glass lenses, the difference in cost must be 3 times the cost of the glass lenses.

Difference in cost=Cost of plastic-cost of glass
=4-1
=3

The difference in cost is $42-30; or $12. Since this is 3 times the cost of the glass lenses, the glass lense must cost $12/3= $4.
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 [#permalink] New post 17 Oct 2005, 12:14
There is a typographical error in the question

An oculist charges $30 for an eye examination, frames, and glass lenses, but $42 for for an eye examination, frames, and plastic lenses. If the plastic lenses cost four times as much as the glass lenses, how much do the glass lenses cost?

The bolded part was initially given as 40.
  [#permalink] 17 Oct 2005, 12:14
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