The Socs had all of the necessities of life as well as the extras such as nice cars extra money and lived in the "good" part of town. The Socs boys harrassed the Greaser boys just for kicks. Often they went too far in their bullying.
The Socs already had status in the community and did not need to gain status by beating up on the Greasers. They just did this because they knew they could get away with it because their parents would bail them out or pay off the judge.
The Greasers were just trying to survive, and the Socs were flaunting their material possessions, their status and their immunity to the law when they started fights with the greasers. They had no sense of justice or fairness