I'm sure you and few others experienced it. But I'd say it's not that common. Just look at the make up of study body at the top 5 schools.
Then you should look at the actual university policies outlined on their website. At top of line elite schools (Stanford, Princeton level), if your family income <$65-75K, both tuition and housing are free, and <$125K tuition is free.
I know for a fact that state schools like UC Berkeley and UCLA aren't that generous with housing.
>> Just look at the make up of study body at the top 5 schools.
Students from wealthier backgrounds tend to have more access to academic and educational resources and are thus more qualified and more likely to be admitted.
Not a judgement suggesting that a less fortunate child would not succeed in a similar environment; many of them just don't have one.