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# Joanna bought only $0.15 stamps and$0.29 stamps. How many

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Director
Joined: 01 Apr 2008
Posts: 905
Schools: IIM Lucknow (IPMX) - Class of 2014
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Kudos [?]: 331 [0], given: 18

Joanna bought only $0.15 stamps and$0.29 stamps. How many [#permalink]  22 Mar 2009, 20:51
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Joanna bought only $0.15 stamps and$0.29 stamps. How many $0.15 stamps did she buy? (1) She bought$4.40 worth of stamps.
(2) She bought an equal number of $0.15 stamps and$0.29 stamps.
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.
Manager
Joined: 07 Feb 2009
Posts: 50
Followers: 0

Kudos [?]: 12 [1] , given: 1

Re: DS: Stamps [#permalink]  23 Mar 2009, 00:41
1
KUDOS

Suppose Joanna bought x $0.15 stamps and y$0.29 stamps.
So, first statement says that
4.4 = 0.15x+0.29y , only from this equation, we cant say anything about x or y. x and y may/may not take more than one value.

Second statement says x=y, this also doesn't tell anything about the value of x or y.

If we combine the two given conditions, we get:
4.4= 0.15x+0.29x
or, x=10

Hence, BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
Intern
Joined: 09 Mar 2009
Posts: 3
Location: Netherlands
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Kudos [?]: 0 [0], given: 0

Re: DS: Stamps [#permalink]  23 Mar 2009, 04:28
A less mathematical approach:

Statement 1:
When you only know that she spent $4,40. She could have bought any combination of post stamps to reach$4,40

Statement 2:
When you only know she bought an equal number of stamps she could eighter have bought 1:1 (2 stamps) or 100:100 (200 stamps).

Statement 1&2: