A story that makes the problem seem essential and dramatic is the best way to start a problem solution essay. There are a lot of issues in the world, and if you want your reader to think yours is an important one to solve, you need to catch their attention with something they will remember. A good story is an excellent way to do that. It can be a personal story, a news item, a typical made-up scenario, a real-life story or even part of a movie plot that demonstrates the problem. Follow that up with some statistics showing the importance of the problem for a wider audience, and you will have a great start!