<p>Yep, definitely apply to all (assuming you have a shot at the more prestigious ones). If your family has money that the need-based financial aid will want to tap, but the money isn’t actually available for whatever reason, MIT may be financially out of the question. If your family makes less than about $120K, MIT will be astoundingly inexpensive, but Duke may be financially out of reach.</p>
<p>Good luck, and happy exploring!</p>