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题库 / Prep2007E1-DS-21
If a certain charity collected a total of 360 books, videos, and board games, how many videos did the charity collect?
(1) The number of books that the charity collected was 40 percent of the total number of books, videos, and board games that the charity collected.
(2) The number of books that charity collected was 66 percent of the total number of videos and board games that charity collected.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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Given: B + V + G = 360.
(1) The number of books that the charity collected was 40 percent of the total number of books, videos, and board games that the charity collected --> B = 2/5*360 --> B = 144. Not sufficient.
(2) The number of books that charity collected was 66 2/3 percent of the total number of videos and board games that charity collected --> B = 2/3*(V + G) --> B = 2/3*(360 - B) --> B = 144. Not sufficient.
(1)+(2) We only know that B = 144 and B + V + G = 360 (V + G = 216) --> we cannot solve for V. Not sufficient.
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