Solutions

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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

Medium

Solution

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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