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A pen-and-pencil set costs $12, the same as when the items are bought

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Bunuel
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A pen-and-pencil set costs $12, the same as when the items are bought [#permalink] New post   22 Feb 2018, 20:45
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A pen-and-pencil set costs $12, the same as when the items are bought separately. If the pen costs $11 more than the pencil, what is the cost of the pencil?

(A) $0.50

(B) $1.00

(C) $1.50

(D) $6.00

(E) $11.00
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A
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Re: A pen-and-pencil set costs $12, the same as when the items are bought [#permalink] New post   22 Feb 2018, 22:17
Bunuel wrote:
A pen-and-pencil set costs $12, the same as when the items are bought separately. If the pen costs $11 more than the pencil, what is the cost of the pencil?

(A) $0.50

(B) $1.00

(C) $1.50

(D) $6.00

(E) $11.00


Let the cost of the pen be x and cost of the pencil be y

The equations formed from the question stem are as follows
x + y = $12
x - y = $11

Solving for x, we get x = $11.50. Now, y = $0.50

Therefore, the cost of the pencil is $0.50(Option A)
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Re: A pen-and-pencil set costs $12, the same as when the items are bought [#permalink] New post   22 Feb 2018, 23:27
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Pen + Pencil = $12

Now the question stem says the Pen is $11 more than the Pencil. This gives us the information Pen is minimum $11. The rest $1 should be equally divided to get the total value to $12.

The answer is $0.50

Ans: A
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Re: A pen-and-pencil set costs $12, the same as when the items are bought [#permalink] New post   23 Feb 2018, 01:51
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Bunuel wrote:
A pen-and-pencil set costs $12, the same as when the items are bought separately. If the pen costs $11 more than the pencil, what is the cost of the pencil?

(A) $0.50

(B) $1.00

(C) $1.50

(D) $6.00

(E) $11.00


pencil+ pen = 12

pencil+11 = pen

pencil + 11 + pencil =12

2pencil = 1

pencil = 0.50$

(A)
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Re: A pen-and-pencil set costs $12, the same as when the items are bought [#permalink] New post   24 Oct 2018, 15:57
Bunuel wrote:
A pen-and-pencil set costs $12, the same as when the items are bought separately. If the pen costs $11 more than the pencil, what is the cost of the pencil?

(A) $0.50

(B) $1.00

(C) $1.50

(D) $6.00

(E) $11.00



pen - pencil set costs = 12

There is no change in total value if buy pen or pencil separately .

let the price of pencil be x

pen = 11 + x

x + x + 11 = 12

2x = 1

x = 0.5.

The best answer is A.
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Re: A pen-pencil set costs $12, the same as when the items are [#permalink] New post   07 Nov 2022, 02:05
Hello from the GMAT Club BumpBot!

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Re: A pen-pencil set costs $12, the same as when the items are [#permalink]
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