Statistics : GMAT Problem Solving (PS)
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# Statistics

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Senior Manager
Joined: 24 Mar 2011
Posts: 457
Location: Texas
Followers: 5

Kudos [?]: 167 [0], given: 20

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01 May 2011, 12:48
00:00

Difficulty:

35% (medium)

Question Stats:

78% (02:04) correct 22% (00:54) wrong based on 9 sessions

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During a sale, a clothing store sold each shirt at a price of $15 and each sweater at a price of$25.00 Did the store sell more sweaters than shirts during the sale?

1) The average of the prices of all of the shirts and sweaters that the store sold during the sale was $21.00 2) The total of the prices of all of the shirts and sweaters that the store sold during the sale was$420.00
[Reveal] Spoiler: OA
Manager
Joined: 11 Jun 2010
Posts: 84
Followers: 0

Kudos [?]: 18 [0], given: 17

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01 May 2011, 14:52
WE can do this without even framing eqn.

Stat 1 says that avg of all shirts and sweaters = 21.00$means its closer to the price of sweaters ($25) vis-a-vis that of shirts (\$20) hence more of sweaters must have been sold.

hence statement 1 alone is sufficient to answer the question

stat 2 says that 15 shirts + 25 sweaters = 420 hence cannot be solved.

thus Ans - A
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Kudos [?]: 240 [0], given: 10

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01 May 2011, 21:45
15 sh + 25 sw = 21(sh+sw)
4sw = 6sh
2sw = 3sh Sufficient.

15 sh + 25 sw = 420
3sh + 5sw = 84

5 * 16 = 80 (max sw = 16)
Hence by trial method sw = 15, sh = 3

3* 28 = 84 (max sh = 28)
hence by trial method 3*sh = 54 gives sw = 6
meaning sh = 18,sw = 6. Hence not sufficient.

Thus A.
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Re: Statistics   [#permalink] 01 May 2011, 21:45
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