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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.
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.
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: When you know that she spent $4,40 and that she bought an equal number of both the different stamps, this will probably be suffiënt to solve the problem. You can check this by solving the easy equation.