现有1角硬币,5角硬币,1元硬币各10枚;从中取15枚硬币,共值7元.应取1角,5角,1元各多少枚

问题描述:

现有1角硬币,5角硬币,1元硬币各10枚;从中取15枚硬币,共值7元.应取1角,5角,1元各多少枚

设1角(0.1元),5角(0.5元),1元各取了x,y,z枚,则
x+y+z=15(1)
0.1x+0.5y+z=7(2)
x=15-y-z
x+5y+10z=70
15-y-z+5y+10z=70
4y+9z=55(3)
9z