问答题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?
问答题
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?
参考解析
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.)
(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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