How is a mixed economy different from a capitalist economy

Capitalism is basically free stuff and a huge government. Most things you need such as education is free, food is handed out by the government. Everything is pretty much free, the money is distributed among everyone equally and it sounds like a utopia. In practice, however, capitalism doesn't work. If you do anything do the government, they can pretty much let you starve. if someone gets greedy, because as we know life is not a utopia, everything crumbles. A mixed economy is a combination of a capitalist economy and a socialist economy. The government can interfere with economic activities to achieve its own agenda, however citizens have a lot more that is theirs. They don't need hand outs from the government because people can take care of themselves. Although not as effective as free market, a mixed economy typically works better than a capitalist.