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During a 10-week summer vacation, was the average [#permalink]
31 Oct 2007, 11:52
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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
read per week?
(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
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.