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

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

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New post 13 Oct 2017, 00:31
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  25% (medium)

Question Stats:

97% (00:53) correct 3% (00:58) wrong based on 33 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
[Reveal] Spoiler: OA

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Kudos [?]: 132494 [0], given: 12323

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

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

glass lenses cost= 4

Kudos [?]: 7 [2], given: 182

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

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New post 13 Oct 2017, 02:12
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KUDOS
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

Answer: B.

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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New post 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

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

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New post 16 Oct 2017, 17:19
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


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

Answer: B
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Kudos [?]: 900 [0], given: 5

Re: An oculist charges $30.00 for an eye examination, frames, and glass   [#permalink] 16 Oct 2017, 17:19
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