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# An oculist charges \$30.00 for an eye examination, frames, and glass

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Math Expert
Joined: 02 Sep 2009
Posts: 57155
An oculist charges \$30.00 for an eye examination, frames, and glass  [#permalink]

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13 Oct 2017, 00:31
00:00

Difficulty:

5% (low)

Question Stats:

95% (01:22) correct 5% (02:03) wrong based on 54 sessions

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An oculist charges \$30.00 for an eye examination, frames, and glass lenses, but \$42.00 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?

A. \$2
B. \$4
C. \$5
D. \$6
E. \$8

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Intern
Joined: 11 Apr 2017
Posts: 38
Schools: Kelley '20
Re: An oculist charges \$30.00 for an eye examination, frames, and glass  [#permalink]

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13 Oct 2017, 01:13
3
Here,
Glass lense cost= x
plastic lense cost= 4x
So,
4x-x= 12
3x= 12
x= 4

glass lenses cost= 4
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Re: An oculist charges \$30.00 for an eye examination, frames, and glass  [#permalink]

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13 Oct 2017, 02:12
1
Let Glass lenses cost be x
Plastic lenses cost= 4x
Now, 4x-x= 42-30= 12
3x= 12
x=4
So Glass lenses cost= \$4

Kudos please if you like my explanation!
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Re: An oculist charges \$30.00 for an eye examination, frames, and glass  [#permalink]

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13 Oct 2017, 21:19
Bunuel wrote:
An oculist charges \$30.00 for an eye examination, frames, and glass lenses, but \$42.00 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?

A. \$2
B. \$4
C. \$5
D. \$6
E. \$8

Let cost of eye examination = E
Frames = F
glass lenses = G
plastic lenses = P

E+F+G = 30
E+F+P = 42
P = 4G
P-G = 12
G = 4

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Joined: 04 Mar 2011
Posts: 2820
Re: An oculist charges \$30.00 for an eye examination, frames, and glass  [#permalink]

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16 Oct 2017, 17:19
1
Bunuel wrote:
An oculist charges \$30.00 for an eye examination, frames, and glass lenses, but \$42.00 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?

A. \$2
B. \$4
C. \$5
D. \$6
E. \$8

We can let e = the cost for the exam, f = the cost for the frames, g = the cost for the glass lenses, and p = the cost for the plastic lenses. We can create two equations:

30 = e + f + g

and

42 = e + f + p

Subtracting the first equation from the second, we have:

12 = p - g

We also know that p = 4g; thus:

12 = 4g - g

12 = 3g

4 = g

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Re: An oculist charges \$30.00 for an eye examination, frames, and glass  [#permalink]

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23 Dec 2018, 00:15
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: An oculist charges \$30.00 for an eye examination, frames, and glass   [#permalink] 23 Dec 2018, 00:15
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