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

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Joined: 02 Sep 2009
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A pen-and-pencil set costs \$12, the same as when the items are bought  [#permalink]

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22 Feb 2018, 20:45
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76% (01:13) correct 24% (00:41) wrong based on 74 sessions

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

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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]

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22 Feb 2018, 23:27
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]

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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]

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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.
Re: A pen-and-pencil set costs \$12, the same as when the items are bought   [#permalink] 24 Oct 2018, 15:57
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A pen-and-pencil set costs \$12, the same as when the items are bought

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