Last summer we went camping in Yosemite, and the first night we did a bad thing: we left out food on the ground. A bear came along and ripped up one-third of our total number of dried meals. The next day we ate four of the remaining meals and tied the food up in a tree. It didn’t seem to help because one-third of the meals we had left were ripped open by another bear. During our third day, we ate four more meals and that night, despite everything we did, one-half of our remaining dried meals were ripped apart. We gave up, ate the four remaining dried meals, and headed home. Can you tell how many dried meals we started with?