设大人x,老头y,小孩(100-x-y)则:7x+5(100-x-y)+y/6=100化简:29y=2400+12x由于y必须为整数所以:y=82+(12x+22)x=3y=84即大人3,老头84,小孩13
买3个大人,13个小孩,84个老头
设x、y、z人,则 7x+5y+z/6=100,x+y+z=100,解得:x=3,y=13,z=84