vaivish1723 wrote:

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.

Oa is

.

Please explain.

Let \(c\) be the average # of books that Carolyn read per week;

Let \(j\) be the average # of books that Jacob read per week;

Question is c>j?

(1) \(2c>2j-5\), if \(c=10<j=11\) --> \(2*10=20>2*11-5=17\) BUT if \(c=10>j=5\) --> \(2*10=20>2*5-5=5\), two different answers. Not sufficient.

(2) Clearly insufficient. In the second half of the 10 week period, Carolyn read 3 books more than Jacob. So her average for the second half will be greater than Jacob's, but we know nothing about the first half.

(1)+(2) Combined two statements also not sufficient to determine whether c>j.

Answer: E.

Bunuel, answer is seen in "edit" in the first post, kind of destroys the purpose of 'spoiler', could you please edit it out?