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# A store sells pens and pencils. Provided that the price of

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CEO
Joined: 21 Jan 2007
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A store sells pens and pencils. Provided that the price of [#permalink]

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30 Oct 2007, 09:17
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A store sells pens and pencils.
Provided that the price of each item is expressed as a whole number of cents, how much do 5 pencils cost?

1. 5 pencils and 3 pens cost 30 cents
2. 4 pencils and 4 pens cost 32 cents
SVP
Joined: 29 Aug 2007
Posts: 2476
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Kudos [?]: 774 [0], given: 19

Re: System of Linear Equations [#permalink]

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30 Oct 2007, 09:29
bmwhype2 wrote:
A store sells pens and pencils.
Provided that the price of each item is expressed as a whole number of cents, how much do 5 pencils cost?

1. 5 pencils and 3 pens cost 30 cents
2. 4 pencils and 4 pens cost 32 cents

A: 5pc + 3pn =30
5x3 + 3x5 =30
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Joined: 28 Jun 2007
Posts: 317
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Re: System of Linear Equations [#permalink]

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30 Oct 2007, 09:45
bmwhype2 wrote:
A store sells pens and pencils.
Provided that the price of each item is expressed as a whole number of cents, how much do 5 pencils cost?

1. 5 pencils and 3 pens cost 30 cents
2. 4 pencils and 4 pens cost 32 cents

I get A.

(1) 5x + 3y = 30
The only solution that fits is x = 3, y = 5. Hence, sufficient.

(2) 4x + 4y = 32
Could be x=4, y=4 OR x=2, y=6. Hence, insufficient.
Re: System of Linear Equations   [#permalink] 30 Oct 2007, 09:45
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