Apognophos is spot on.
Blondie is also right, especially 1 Cor 11:20-34. They did partake after the initial meal Jesus had. The thrust here is about not partaking unworthily, and from verses 20 - 22 it shows what that is: hungry or intoxicated. In other words, don't come to the Lord's evening meal expecting to get a full meal to fill your belly, and certainly don't come drunk. Verses 27 - 30 are not about scrutinizing whether one is anointed or not, but really, whether one is giving due honor to the reason for the occasion. I'm not sure how else to word this.