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# During a 10-week summer vacation, was the average

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Intern
Joined: 05 Oct 2007
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During a 10-week summer vacation, was the average [#permalink]

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31 Oct 2007, 12:52
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During a 10-week summer vacation, was the average (arithmetic mean) number of
books that Carolyn read per week greater than the average number of books that Jacob
(1) Twice the average number of books that Carolyn read per week was greater
than 5 less than twice the average number of books that Jacob read per week.
(2) During the last 5 weeks of the vacation, Carolyn read a total of 3 books more
than Jacob.

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Intern
Joined: 25 Apr 2007
Posts: 48

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31 Oct 2007, 13:14
A

you can ignore the "twice" part for the eqn's if you want but i have it in my eqn.

Lets say carolyn's avg is y and Jacob's avg = x

per stmt 1. 2y > 2x - 5 which is SUFF

stmt 2. info only abt last 5 weeks - INSUFF

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Intern
Joined: 21 Jun 2007
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06 Nov 2007, 09:49
Gotta disagree with your assessment of statement 1.

My translation goes

2c > 2j - 5

To divide both sides by 2 we get

c > j - (5/2)

This leaves wiggle room for who's greater. c could be greater than j anyway for a yes answer, but c could be less than 5/2 smaller for a no answer. For instance, if j = 4 and c = 3 then we have 3 > 4 - (5/2). That works and gives us a no answer for "is c > j?" yes and no, therefore insufficient.

statement 2 is plainly insufficient, and I don't feel like putting a lot of thought into them together, but my gut says insufficient. So E.

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06 Nov 2007, 09:49
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