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During a 10-week summer vacation, was the average [#permalink]
 05 Jun 2008, 12:40
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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 than Jacob.
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So I'm going to take a stab at this. I'd really like to hear how others solved this one. Quite new to GMATClub problem solving.
From Statement 1: I gathered the following equation
2C > 2J - 5
or
C > J - 2.5
c= avg number of books Carol read
j = avg number of books Jacob read
From this inequality, whatever number Carol read, the avg will always be greater then J?
i thought stmt 2 was insufficient
so i'm going with A
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puma 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. 2(C/10)>2(J/10)-5. 1: Ok lets say X=100 and Y=100. WEll the statment is true and we found that C =J. We can also say that C=10000000000000000000000 J=100. Obviously C>J and the statement holds true. Insuff. 2: tells us nothing about the other weeks. Together, I am not convinced that this is sufficient. We don't know anything about the first few weeks.
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puma 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. I am going to say A.. Avg.C>Avg.J? 1) 2(Avg.C)>2(Avg.J)-5 ...clearly Avg.C>Avg.J... Sufficient.. 2) Avg.C=SumC/Number of booksC.. Avg.J=SumJ/Number of BooksJ.. 10 weeks.. 5Weeks so 1/2 of Number of BooksC.. 1/2NumberC=NumberJ+3..Insuff i dont know how many books they read in the earlier half of the 10 week..
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i see your point too. anyone know the correct AC?
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I am going for E. The first 5 weeks are unknown and they can turn around the situation
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i need a better explanation..this question seems simple enough.i am stumped..if i got this wrong..
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puma 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. A. a comparison between Avg number of books read per week has to be done. I dont think 10 weeks matter. 2C> 2J-5 since C and J will be positive, this should be sufficient.
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I also go along with A.
wht is the OA?
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fresinha12 wrote: puma 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. I am going to say A.. Avg.C>Avg.J? 1) 2(Avg.C)>2(Avg.J)-5 ...clearly Avg.C>Avg.J... Sufficient.. 2) Avg.C=SumC/Number of booksC.. Avg.J=SumJ/Number of BooksJ.. 10 weeks.. 5Weeks so 1/2 of Number of BooksC.. 1/2NumberC=NumberJ+3..Insuff i dont know how many books they read in the earlier half of the 10 week.. I think statement 1 is insufficient too. The following inequality requires some thought C+2.5>JThe condition holds true say for the following two situations C=5, J=65+2.5>6C is not greater than J C=8, J=68+2.5>6C is greater than J hence insufficient, since we cant conclusively determine whether C>J or not. The answer is E
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IMO E is the correct answer both the statements put together dont help
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fresinha12 wrote: GMATBLACKBELT wrote: puma 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. 2(C/10)>2(J/10)-5. 1: Ok lets say X=100 and Y=100. WEll the statment is true and we found that C =J. We can also say that C=10000000000000000000000 J=100. Obviously C>J and the statement holds true. Insuff. 2: tells us nothing about the other weeks. Together, I am not convinced that this is sufficient. We don't know anything about the first few weeks. what is X and Y? Sorry I forgot to change those to C and J.
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shit..i see my mistake...
whoa..
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C>J-2.5
This equation can take for C either C=J+1 or C=J-1 which is absurd.
Can not decide which one is greater with (1) ..Option (2) gives information about last 5 weeks.
We dont how many books did Carolyn and jacob read for the first 5 weeks.
So both options are insufficient.
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what? I go with E too.
A can only be possible if equation is 2c>2j+5
but in our case, the equation is 2c>2J-5
What's d source?
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