When software engineers fix bugs, they may have several options as to how to fix those bugs. Which fix they choose has many implications, both for practitioners and researchers: What is the risk of introducing other bugs during the fix? Is the bug fix in the same code that caused the bug? Is the change fixing the cause or just covering a symptom? In this paper, we investigate alternative fixes to bugs and present an empirical study of how engineers make design choices about how to fix bugs. We start with a motivating case study of the Pex4Fun environment. Then, based on qualitative interviews with 40 engineers working on a variety of products, data from 6 bug triage meetings, and a survey filled out by 326 Microsoft engineers and 37 developers from other companies, we found a number of factors, many of them non-technical, that influence how bugs are fixed, such as how close to release the software is. We also discuss implications for research and practice, including how to make bug prediction and localization more accurate.