In one day at a library, 64 people borrowed books. Twice as many people borrowed

游客2024-08-08 22

问题 In one day at a library, 64 people borrowed books. Twice as many people borrowed only a thriller as borrowed only a science fiction book. Three people borrowed a biography only and 11 people borrowed both science fiction and a thriller, but not a biography. The same number borrowed a biography and a thriller but no science fiction as borrowed one of each of the three types. Twenty-one people did not borrow a thriller. One more person borrowed a science fiction book and a biography book than borrowed a biography only.
How many people borrowed a thriller only?

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答案 28 people borrowed a thriller only．

解析 (设三种书都借的人数为x，那么既借传记又借惊险小说的人数也为x；设既借传记又借科幻小说的人数为y；设只借科幻小说的人数为z，那么只借惊险小说的人数为2Z。根据题意可知：y=4；y+z+3=21；3Z+2X+y+11+3=64，故求出z=14，2Z=28．)

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