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# A stationery store sells pens and pencils. If the price of each item i

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Math Expert
Joined: 02 Sep 2009
Posts: 61396
A stationery store sells pens and pencils. If the price of each item i  [#permalink]

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07 Nov 2019, 01:47
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2
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Difficulty:

75% (hard)

Question Stats:

55% (01:51) correct 45% (01:39) wrong based on 62 sessions

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A stationery store sells pens and pencils. If the price of each item is expressed as a non-zero 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.

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Director
Joined: 25 Jul 2018
Posts: 562
Re: A stationery store sells pens and pencils. If the price of each item i  [#permalink]

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07 Nov 2019, 02:02
A stationery store sells pens and pencils. If the price of each item is expressed as a non-zero whole number of cents, how much do 5 pencils cost?

(Statement1):
5* pencil + 3*pen= 30 cents
—> only 5*3 + 3*5 = 30 satisfies the equation in which pencil costs 3 cents and pen costs 5 cents
Sufficient

(Statement2):
4*pencil + 4*pen= 32
pencil + pen= 8
—> could be 4 +4=8 or 5 +3=8 and so on
Insufficient

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Senior Manager
Joined: 13 Feb 2018
Posts: 497
GMAT 1: 640 Q48 V28
Re: A stationery store sells pens and pencils. If the price of each item i  [#permalink]

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04 Feb 2020, 03:47
let express the cost of the pen - x
and cost of the pencil - y

1) stm --> 5x+3y=30; y should be multiple of five and none of the variables can be 0; 5 is the only integer which satisfies the equation, the next multiple of five is 10 and it's not valid as x must be 0 at that case. Sufficient

2) 4x+4y=32; 4(x+y)=32; x+y=8, many pairs are possible. Insufficient

Imo
Ans: A
Re: A stationery store sells pens and pencils. If the price of each item i   [#permalink] 04 Feb 2020, 03:47
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