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问题
一百元买一百只鸡,大鸡一只五元中鸡一只两块五小鸡一只五毛。请问大中小各是多少只,一百元不多不小花完

答案
100=5x+2.5y+0.5z,100=x+y+z.可得到9x+4y=100.因为xyz均为整数,于是(x,y,z)=(4,16,80)或(8,7,85).
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