Solutions
Get detailed explanations to advanced GMAT questions.
Question
At a sale all books were priced equally and all magazines were priced equally. What was the price of 3 books and 4 magazines at the sale?
I. At sale the price of a book was $1.45 more than the price of a magazine.
II. At sale the price of 6 books and 8 magazines was $43.70.
Option A:
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Option B:
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Option C:
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
Option D:
EACH statement ALONE is sufficient to answer the question asked.
Option E:
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Difficulty Level
MediumSolution
Option B is the correct answer.
Option Analysis
Let x be the price of books and y be the price of magazines. Question: 3x+4y?
Statement I is insufficient: Given x = y + 1.45. Still we don’t know any of the prices.
Statement II is sufficient: Given 6x+8y = 43.70 So 3x+4y = 21.85 So sufficient.
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