1.设壶中原有x斗酒
2[2(2x-1)-1]-1=0
2(4x-3)-1=0
8x-7=0
x=7/8 原有7/8斗酒
2.设小明拿了3x,3(x+1),3(x+2),3(x+3),3(x+4)(x为正整数)
3x+3(x+1)+3(x+2)+3(x+3)+3(x+4)=555
15x+30=555
x=35
五个数为105,108,111,114,117
(2)设所拿五张卡片为3a,3(a+1),3(a+2),3(a+3),3(a+4)(a为正整数)
3a+3(a+1)+3(a+2)+3(a+3)+3(a+4)=55
15a+30=55
a=5/3
因为a=5/3不为正整数不符题意,所以无法拿出