题库搜索>问题求解PS-17450
A certain experimental mathematics program was tried out in 2 classes in each of 32 elementary schools and involved 37 teachers. Each of the classes had 1 teacher and each of the teachers taught at least 1 , but not more than 3, of the classes. If the number of teachers who taught 3 classes is n, then the least and greatest possible values of n, respectively, are
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当有14个老师教3个班时 这14个老师教了14x3=42个班 剩余(37x2)-42=22个班 最多只再需要22个老师 22+14位36名老师 但总共有37名老师 所以n取不到14
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2021-08-10 12:17:34
鸡麦七百加
教1门课为a个老师，2门课的b个老师，3门课的c个老师 a+2b+3c=32*2 a+b+c=37 因此b+2c=27 c最小为0，最大为13
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2019-10-03 11:42:57
Gika
一共64个班级 37名老师 n最小——老师尽可能只教1或2个班 当所有老师都教2个班时 可以教74个班级 74>64 已经不再需要有人教三个班 n最大——老师尽可能教3个班 使得没有教2个班的老师存在 设有x名老师教3个班 3x+(37-x)=64 x=13
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2019-09-21 15:28:45
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