公鸡一只5元,母鸡一只3元,小鸡3只一元.今有100元,买100只鸡.问公鸡,母鸡,小鸡各有多少只?
人气:122 ℃ 时间:2019-10-26 10:45:42
解答
设公鸡x只,母鸡y只,小鸡z只(z只能取3的倍数) x+y=100-z 5x+3y=100-z/33x=4z-3003和4的最小公倍数12,3x最小取12,此时x=4,y=18,z=783x取24时,z取81,x=8,y=113x取36时,z取84,x=12,y=4所以有3种情况1.公鸡4只,母鸡18只...
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