I Swapped Lives with the Fake Heiress

My parents, older brother, and fiance all firmly believed that a person’s character had nothing to do with their circumstances. So they sent me and the fake heiress into a newly developed time machine together. We were to experience each other’s lives. If the fake heiress could be just as outstanding in harsh conditions, they would abandon me for good. I wanted to find out too: if a pampered young lady couldn’t even get enough to eat, what would she do?