1987 Pontiac Grand Am Starting problem

Over the course of the last few days I have had a problem with the car starting. Last night I had no troubles starting the engine, I drove to and back from my soccer game, parked it and left it for about 20 minutes. After I came back the car wouldn't start, that is it reved but would die out. I gave it gas but that only gave a quick rev to then sputtering. This morning I tried it a few hours before work to see if it would start, it did, no problems. I let it idle, it was keeping consistant revs, it made no noises as it idled and the exhaust was not any interesting coloration. I drove it to a destination without any problems; but after parking it and turning it off I could not get it to start, same problem as before.

Any ideas to the problem? I just put in a tank full of premium gas, go figure ;/