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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 12 Oct 2017, 23:31
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Question Stats:

96% (01:02) correct 4% (02:03) wrong based on 51 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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Re: An oculist charges $30.00 for an eye examination, frames, and glass  [#permalink]

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New post 13 Oct 2017, 00:13
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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New post 13 Oct 2017, 01:12
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

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 13 Oct 2017, 20:19
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, 16:19
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

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 22 Dec 2018, 23:15
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Re: An oculist charges $30.00 for an eye examination, frames, and glass &nbs [#permalink] 22 Dec 2018, 23:15
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