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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.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
EACH statement ALONE is sufficient to answer the question asked.
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Option B is the correct answer.
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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