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During a 10-week summer vacation, was the average [#permalink]
30 Jul 2007, 08:34

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A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct
0% (00:00) wrong based on 0 sessions

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 than Jacob.

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 than Jacob.

E.

1: 2c > (2a - 5)

if c = 5, and a = 5, 2c > (2a-5)
if c = 3, and a = 5, 2c > (2a-5)
if c = 6, and a = 5, 2c > (2a-5)

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 than Jacob.

E.

1: 2c > (2a - 5)

if c = 5, and a = 5, 2c > (2a-5) if c = 3, and a = 5, 2c > (2a-5) if c = 6, and a = 5, 2c > (2a-5)

2: it says nothing.

Thanks Himalayan. I also came up with E, but the OA was A !! Guess, it must be wrong.

okay, I see where you're going. I failed the read the part '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.'

So the equation should be C/10 > J/10 + 5/2. So we can't solve for because C could be more or less than J. Error on my part. sorry everyone.