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

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Joanna bought only $0.15 stamps and $0.29 stamps. How many [#permalink] New post 20 Jun 2009, 07:19
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A
B
C
D
E

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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.

The answer is A.

Thks for all your reasoning and inputs in advance:)
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Re: DS - Algebra [#permalink] New post 20 Jun 2009, 09:13
stmt 1 :

.15X + .29Y = 4.4

or 15X + 29Y = 440 ------------1

By trial error the values that satisfy is when x =10 and Y = 10. So sufficient.

stmt 2 :

Not sufficient.

Hence A
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Re: DS - Algebra [#permalink] New post 20 Jun 2009, 17:15
A it is.

One easy way to solve this is if you notice 15+29 = 44.

15x + 29y = 440

Only values (integer values) 10 and 10 will satisfy that equation.
Re: DS - Algebra   [#permalink] 20 Jun 2009, 17:15
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Joanna bought only $0.15 stamps and $0.29 stamps. How many

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