<p>Most of the ivies guarantee to meet "demonstrated" financial need. So really, they have to decide, based in your family income, assets, and other info., what they feel you should be able to pay. I have heard numerous times, of students applying to a school, and then learning that they were going to get much less in aid than they expected, based on various calculators they used.
So, make sure that you also apply to schools that you can afford.
Also, it is not necessarily "free money". Some of the financial aid could be in the form of student loans, that you would have to repay, and some could be in the form of work-study.
You really need to investigate this carefully.</p>