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# Tom and Mary bought some books and magazines. The price for

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Tom and Mary bought some books and magazines. The price for [#permalink]  31 Jul 2008, 09:53
Tom and Mary bought some books and magazines. The price for each book is x dollars and the price for each magazine is y dollars. If Tom spent a total of $50 and Mary spent a total of$100, x=?
(1) They bought a total of 10 books.
(2) The price of for the magazine is $5. A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient. B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient. C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient. D. Each Statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Senior Manager Joined: 23 May 2006 Posts: 327 Followers: 2 Kudos [?]: 114 [0], given: 0 Re: tom and mary [#permalink] 31 Jul 2008, 10:15 [quote="arjtryarjtry"]Tom and Mary bought some books and magazines. The price for each book is x dollars and the price for each magazine is y dollars. If Tom spent a total of$50 and Mary spent a total of $100, x=? (1) They bought a total of 10 books. (2) The price of for the magazine is$5.

Let the number of books purchased = a and the magazines purchased = b
Hence you can write the equations ------- ax +by = 50 + 100 = 150

S1. Tells you that a = 10
S2. y = 5

Now we have three equations but four unknowns

IMO E
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Re: tom and mary [#permalink]  31 Jul 2008, 10:56
x97agarwal wrote:
arjtryarjtry wrote:
Tom and Mary bought some books and magazines. The price for each book is x dollars and the price for each magazine is y dollars. If Tom spent a total of $50 and Mary spent a total of$100, x=?
(1) They bought a total of 10 books.
(2) The price of for the magazine is $5. Let the number of books purchased = a and the magazines purchased = b Hence you can write the equations ------- ax +by = 50 + 100 = 150 S1. Tells you that a = 10 S2. y = 5 Now we have three equations but four unknowns IMO E Quote: S1. Tells you that a = 10 agreed small correction a+b = 10 _________________ Your attitude determines your altitude Smiling wins more friends than frowning VP Joined: 17 Jun 2008 Posts: 1404 Followers: 8 Kudos [?]: 153 [0], given: 0 Re: tom and mary [#permalink] 03 Aug 2008, 05:52 arjtryarjtry wrote: Tom and Mary bought some books and magazines. The price for each book is x dollars and the price for each magazine is y dollars. If Tom spent a total of$50 and Mary spent a total of $100, x=? (1) They bought a total of 10 books. (2) The price of for the magazine is$5.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

too many variables and too less equation => not solvable
IMO E
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Re: tom and mary [#permalink]  03 Aug 2008, 06:14
IMO E

WE ATLEAST NEED INFO ABT THE TOTAL NO. OF MAG OR BOOKS BOUGHT
Re: tom and mary   [#permalink] 03 Aug 2008, 06:14
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