Dies and wont start

I just bought a 1991 buick century. It ran for a test drive well. I bought the car went to pick it up and it would not start. Cranked til the battery went dead. Jumped it got it started was driving it home and it died twice but started again. As I pulled in the drive it died again and would not start up. It almost seemed like it was out of gas. About 4 hours later we put some gas in it and it started right up we drove around the block and when we got home it died and would not atart again. It has 116000 miles and is a six cylander. My x said he thinks it might be the ignition coil but of coarse he doesnt have tools to fix it. I have two sons that are willing but not much experience. I just bought the car and dont have much money to put it in the shop. Any suggestions would be greatly appreciated. Thanks