上海世博会中国馆推出A、B、C三种特价玩具,若购买A 种2件,B种1件

上海世博会中国馆推出A、B、C三种特价玩具,若购买A 种2件,B种1件,C种3件共需23元,若购买A种1件,B种4件,C种5件共需36元,那么小明买A种1件,B种2件,C种3件,共需付款(    )
A、21元    B、22元     C、23元     D、不确定

答案

B解析:
设A、B、C三种特价玩具单价分别为x、y、z元,由题意,得
设x+2y+3z=m(2x+y+3z)+n(x+4y+5z)比较系数,得2m+n=1,m+4n=2,3m+5n=3,解得m=,n=
∴x+2y+3z=(2x+y+3z)+(x+4y+5z)=×23+×36=22.故选B.

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