Well-structured problems (like the story problems you might often encounter in text books) are often set in an artificial context, while the ill-structured problems one faces in day-to-day life are often set in a very specific context (your life). Is it possible for multiple people to observe the same situation and perceive different problems associated with it? How does context and perception influence how one might identify a problem, its solution, or its importance?
Multiple people can observe the same situation and perceive different problems associated it, although there is likely to be some commonly agreed upon issue that is given greater priority. Usually well-structured problems cause us to limit ourselves in thinking about what the solution is because there is likely only one or two possible correct answers. Such is the case in mathematics with algebraic questions that may only have one correct answer. However, with ill-structured problems one is forced to think more critically and thoroughly, outlining every aspect of the situation and figuring out all the possible ways to address the issue. This causes debate amongst people who are trying to solve the problem because they likely don't have the same solutions in mind. This is due to each individual's unique experience in life, whether it be with handling a similar situation to the one presented or having no experience at all with dealing with this specific problem. Having no experience may seem to bring nothing to the table, but a fresh perspective on a commonly encountered situation is often beneficial in finding a new and lasting solution to the problem because it will likely acknowledge other problems that the more experienced problem-solvers could not see. Perhaps they could not see the other problems because they weren't expecting it or because they were already hardwired into fixing the situation in a certain manner. In that sense, it's important to have both people with little and lots of experience with a certain situation in order to find an effective solution. Usually this is done through agreeing to prioritize one specific aspect of the situation because it is causing the most damage or seemingly has the biggest influence on the situation.