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# An oculist charges $30 for an eye examination, frames, and  post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message Current Student Joined: 29 Jan 2005 Posts: 5221 Followers: 26 Kudos [?]: 404 [0], given: 0 An oculist charges$30 for an eye examination, frames, and [#permalink]

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17 Oct 2005, 06:40
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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? Current Student Joined: 28 Dec 2004 Posts: 3362 Location: New York City Schools: Wharton'11 HBS'12 Followers: 16 Kudos [?]: 297 [0], given: 2 ### Show Tags 17 Oct 2005, 06:50 well lets see... E+F+G=30 E+F+P=40 p=4G two simeltaneous equations. you get 3g=10, g=$3.33
Current Student
Joined: 29 Jan 2005
Posts: 5221
Followers: 26

Kudos [?]: 404 [0], given: 0

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17 Oct 2005, 08:23

It should be $4 I also got 3.33 . How could we get 4? Pls explain also what is OA? Current Student Joined: 29 Jan 2005 Posts: 5221 Followers: 26 Kudos [?]: 404 [0], given: 0 ### Show Tags 17 Oct 2005, 08:50 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.
Current Student
Joined: 28 Dec 2004
Posts: 3362
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 16

Kudos [?]: 297 [0], given: 2

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17 Oct 2005, 08:53
how did the cost become $42? I thought you posted cost to be$40

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